Grasping from the air: Hovering capture and load stability, 2011 IEEE International Conference on Robotics and Automation, pp.2491-2498, 2011. ,
DOI : 10.1109/ICRA.2011.5980314
Autonomous indoor aerial gripping using a quadrotor On the design and development of attitude stabilization, visionbased navigation, and aerial gripping for a low-cost quadrotor, IEEERSJ International Conference on Intelligent Robots and Systems, 2011. ,
Development of multi-tentacle micro air vehicle, 2014 International Conference on Unmanned Aircraft Systems (ICUAS), pp.815-820, 2014. ,
DOI : 10.1109/ICUAS.2014.6842327
Toward image based visual servoing for aerial grasping and perching, 2014 IEEE International Conference on Robotics and Automation (ICRA), 2014. ,
DOI : 10.1109/ICRA.2014.6907149
Towards Autonomous Cargo Deployment and Retrieval by an Unmanned Aerial Vehicle Using Visual Servoing, Volume 2: 32nd Mechanisms and Robotics Conference, Parts A and B, pp.841-849, 2008. ,
DOI : 10.1115/DETC2008-49557
Abstract, The Aeronautical Journal, vol.114, issue.1153, pp.191-198, 2010. ,
DOI : 10.2514/3.60200
URL : https://hal.archives-ouvertes.fr/hal-00079265
Control of quadrotors for robust perching and landing, Proceedings of the International Powered Lift Conference, pp.205-225, 2010. ,
e-mail: omar@dep.fem.unicamp.br 3 MOISE team, INRIA Grenoble Rhône-Alpes ,
Is biodegradable waste a porous environment? A review, Waste Management & Research, vol.77, issue.10, pp.1001-1015, 2012. ,
DOI : 10.1177/0734242X12452444
General hybrid multizonal/CFD approach for bioreactor modeling, AIChE Journal, vol.55, issue.8, pp.2133-2148, 2003. ,
DOI : 10.1002/aic.690490821
Stability of the SUPG finite element method for transient advectiondiffusion problems, Comput. Method. Appl. M, vol.193, pp.23-262301, 2004. ,
Mixed finite element methods and applications ,
DOI : 10.1007/978-3-642-36519-5
Consistent SUPG-method for transient transport problems: Stability and convergence, Computer Methods in Applied Mechanics and Engineering, vol.199, issue.17-20, pp.17-201114, 2010. ,
DOI : 10.1016/j.cma.2009.11.023
Vers la simulation desécoulementsdesécoulements sanguins ,
Etat des connaissances techniques et recommandantions de mise en oeuvre pour une gestion des installations de stockage de déchets non dangereux en mode bioréacteur, 2007. ,
A mathematical introduction to fluid mechanics, of Texts in Applied Mathematics, 1993. ,
DOI : 10.1115/1.3153709
Analytical behavior of two-dimensional incompressible flow in porous media, Journal of Mathematical Physics, vol.48, issue.6, p.65206, 2007. ,
DOI : 10.1007/BF01062118
Unconditionally stable mixed finite element methods for Darcy flow, Computer Methods in Applied Mechanics and Engineering, vol.197, issue.17-18, pp.17-181525, 2008. ,
DOI : 10.1016/j.cma.2007.11.025
Accuracy of mixed and control volume finite element approximations to Darcy velocity and related quantities, Water Resources Research, vol.3, issue.4, pp.965-973, 1994. ,
DOI : 10.1002/num.1690030407
Gmsh: a three-dimensional finite element mesh generator with built-in pre-and postprocessing facilities, 2009. ,
Characterization, Design, Construction and Monitoring of Bioreactor Landfills, 2006. ,
Finite element methods for linear hyperbolic problems, Computer Methods in Applied Mechanics and Engineering, vol.45, issue.1-3, pp.285-312, 1984. ,
DOI : 10.1016/0045-7825(84)90158-0
Numerical modelling of multiphase flow and transport processes in landfills, Waste Management & Research, vol.24, issue.4, pp.376-387, 2006. ,
DOI : 10.1177/0734242X06065506
Multiphase modeling and inversion methods for controlling landfill bioreactor, Proceedings of TOUGH Symposium, 2006. ,
Natural convection of compressible and incompressible gases in undeformable porous media under cold climate conditions, Computers and Geotechnics, vol.36, issue.3, pp.435-445, 2009. ,
DOI : 10.1016/j.compgeo.2008.04.005
Unsaturated consolidation theory for the prediction of long-term municipal solid waste landfill settlement, Waste Management & Research, vol.19, issue.5, pp.80-91, 2006. ,
DOI : 10.1177/0734242X06062579
Mathematical modelling of landfill gas migration in MSW sanitary landfills, Waste Management & Research, vol.19, issue.5, pp.425-435, 2001. ,
DOI : 10.1177/0734242X0101900507
Landfill leachate recirculation systems: Mathematical modelling and validation, 1998. ,
A Domain Specific Embedded Language in C++ for automatic differentiation, projection, integration and variational formulations, Sci. Program, vol.14, issue.2, pp.81-110, 2006. ,
URL : https://hal.archives-ouvertes.fr/hal-00319980
Feel++: A computational framework for Galerkin methods and advanced numerical methods, pp.429-455, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-00662868
A mixed finite element method for 2-nd order elliptic problems, Mathematical Aspects of Finite Element Methods, pp.292-315, 1977. ,
DOI : 10.1007/BF01436186
The Impact of Leachate Recirculation On Municipal Solid Waste Landfill Operating Characteristics, Waste Management & Research, vol.54, issue.4, pp.337-346, 1996. ,
DOI : 10.1177/0734242X9601400402
A simple spatial model for self-heating compost piles, Proceedings of the 13th Biennial Computational Techniques and Applications Conference, pp.2006-135, 2007. ,
DOI : 10.21914/anziamj.v48i0.86
URL : http://ro.uow.edu.au/cgi/viewcontent.cgi?article=10006&context=infopapers
Handbook of porous media, 2015. ,
Leachate and gas production under controlled moisture conditions, Municipal Solid Waste: Land Disposal Proceedings of the 5th Annual Research Symposium, pp.41-57, 1979. ,
Mathematical modeling and numerical simulation of a bioreactor landfill using Feel++, ESAIM: Proceedings and Surveys, 2016. ,
DOI : 10.1051/proc/201655083
An equilibrated fluxes approach to the Certified Descent Algorithm for shape optimization using conforming Finite Element and Discontinuous Galerkin discretizations, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01395529
error estimator for shape optimization: application to EIT, Journal of Physics: Conference Series, vol.657, issue.1, p.12004, 2015. ,
DOI : 10.1088/1742-6596/657/1/012004
URL : https://hal.archives-ouvertes.fr/hal-01257187
error estimators, ESAIM: Control, Optimisation and Calculus of Variations, 2016. ,
DOI : 10.1051/cocv/2016021
URL : https://hal.archives-ouvertes.fr/hal-01201914
Certified Descent Algorithm for structural shape optimization, 2016. ,
Volumetric expressions for the shape gradient of the compliance in structural shape optimization, 2016. ,
Optimal grasping points identification for a rotational four-fingered aerogripper, 2015 Workshop on Research, Education and Development of Unmanned Aerial Systems (RED-UAS), pp.272-277, 2015. ,
DOI : 10.1109/RED-UAS.2015.7441017
URL : https://hal.archives-ouvertes.fr/hal-01395546
A mixed finite element method for elasticity in three dimensions, Bibliography ,
Shape Methods for the Transmission Problem with a Single Measurement, Numerical Functional Analysis and Optimization, vol.25, issue.5-6, pp.5-6519, 2007. ,
DOI : 10.1137/S0036141096299375
On Second Order Shape Optimization Methods for Electrical Impedance Tomography, SIAM Journal on Control and Optimization, vol.47, issue.3, pp.1556-1590, 2008. ,
DOI : 10.1137/070687438
URL : https://hal.archives-ouvertes.fr/hal-00140211
A Posteriori Error Estimation for Discontinuous Galerkin Finite Element Approximation, SIAM Journal on Numerical Analysis, vol.45, issue.4, pp.1777-1798, 2007. ,
DOI : 10.1137/060665993
A posteriori error estimators for second order elliptic systems part 2. An optimal order process for calculating self-equilibrating fluxes, Computers & Mathematics with Applications, vol.26, issue.9, pp.75-87, 1993. ,
DOI : 10.1016/0898-1221(93)90007-I
URL : http://doi.org/10.1016/0898-1221(93)90227-m
A posteriori error estimation in finite element analysis, Computer Methods in Applied Mechanics and Engineering, vol.142, issue.1-2, 2000. ,
DOI : 10.1016/S0045-7825(96)01107-3
Guaranteed computable bounds on quantities of interest in finite element computations, International Journal for Numerical Methods in Engineering, vol.45, issue.4, pp.1605-1634, 2012. ,
DOI : 10.1002/nme.3276
Mesh Adaptivity and Optimal Shape Design for Aerospace, Variational Analysis and Aerospace Engineering: Mathematical Challenges for Aerospace Design, pp.323-337, 2012. ,
DOI : 10.1007/978-1-4614-2435-2_14
Shape optimization by the homogenization method, Applied Mathematical Sciences, vol.146, 2002. ,
DOI : 10.1007/978-1-4684-9286-6
Conception optimale de structures, 2006. ,
Second-order shape derivatives along normal trajectories, governed by Hamilton-Jacobi equations, Structural and Multidisciplinary Optimization, vol.192, issue.1???2, pp.1245-1266, 2016. ,
DOI : 10.1007/s00158-016-1514-2
URL : https://hal.archives-ouvertes.fr/hal-01326805
A mesh evolution algorithm based on the level set method for geometry and topology optimization, Structural and Multidisciplinary Optimization, vol.87, issue.91, pp.711-715, 2013. ,
DOI : 10.1007/s00158-013-0929-2
URL : https://hal.archives-ouvertes.fr/hal-00801704
Shape optimization with a level set based mesh evolution method, Computer Methods in Applied Mechanics and Engineering, vol.282, pp.22-53, 2014. ,
DOI : 10.1016/j.cma.2014.08.028
URL : https://hal.archives-ouvertes.fr/hal-00933545
Structural optimization using topological and shape sensitivity via a level set method, Control Cybern, vol.34, issue.1, pp.59-80, 2005. ,
A Numerical Algorithm for Topology and Shape Optimization, Topology design of structures, pp.239-248, 1992. ,
DOI : 10.1007/978-94-011-1804-0_16
Molding direction constraints in structural optimization via a level-set method. working paper or preprint, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-01242945
Thickness control in structural optimization via a level set method, Structural and Multidisciplinary Optimization, vol.74, issue.250, pp.1349-1382, 2016. ,
DOI : 10.1007/s00158-016-1453-y
URL : https://hal.archives-ouvertes.fr/hal-00985000
A level-set method for shape optimization, Comptes Rendus Mathematique, vol.334, issue.12, pp.1125-1130, 2002. ,
DOI : 10.1016/S1631-073X(02)02412-3
URL : https://hal.archives-ouvertes.fr/hal-01336301
Structural optimization using sensitivity analysis and a level-set method, Journal of Computational Physics, vol.194, issue.1, pp.363-393, 2004. ,
DOI : 10.1016/j.jcp.2003.09.032
Optimal design for minimum weight and compliance in plane stress using extremal microstructures, Eur. J. Mech. A-Solid, vol.12, issue.6, pp.839-878, 1993. ,
Structural optimization with $\tt{FreeFem++}$, Structural and Multidisciplinary Optimization, vol.21, issue.1, pp.173-181, 2006. ,
DOI : 10.1007/s00158-006-0017-y
Equilibrium finite elements for the linear elastic problem, Numerische Mathematik, vol.30, issue.4, pp.367-383, 1979. ,
DOI : 10.1007/BF01399320
An optimal design problem with perimeter penalization, Calculus of Variations and Partial Differential Equations, vol.39, issue.312, pp.55-69, 1993. ,
DOI : 10.1007/BF02163264
Acousto-electromagnetic Tomography, SIAM Journal on Applied Mathematics, vol.72, issue.5, pp.1592-1617, 2012. ,
DOI : 10.1137/120863654
URL : https://hal.archives-ouvertes.fr/hal-00778971
Mathematical Methods in Elasticity Imaging, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-01174118
Connections between topological sensitivity analysis and material interpolation schemes in topology optimization, Structural and Multidisciplinary Optimization, vol.37, issue.4, pp.755-765, 2011. ,
DOI : 10.1007/s00158-010-0607-6
URL : https://hal.archives-ouvertes.fr/hal-01325799
Mixed finite element methods for elliptic problems, Computer Methods in Applied Mechanics and Engineering, vol.82, issue.1-3, pp.281-300, 1989. ,
DOI : 10.1016/0045-7825(90)90168-L
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.165.5348
Finite elements for symmetric tensors in three dimensions, Mathematics of Computation, vol.77, issue.263, pp.1229-1251, 2008. ,
DOI : 10.1090/S0025-5718-08-02071-1
PEERS: A new mixed finite element for plane elasticity, Japan Journal of Applied Mathematics, vol.41, issue.2, pp.347-367, 1984. ,
DOI : 10.1007/BF03167064
A family of higher order mixed finite element methods for plane elasticity, Numerische Mathematik, vol.41, issue.1, pp.1-22, 1984. ,
DOI : 10.1007/BF01379659
A new mixed formulation for elasticity, Numerische Mathematik, vol.4, issue.1-2, pp.13-30, 1988. ,
DOI : 10.1007/BF01395876
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.125.2555
Differential complexes and stability of finite element methods. II. The elasticity complex, Compatible spatial discretizations, pp.47-67, 2006. ,
Mixed finite element methods for linear elasticity with weakly imposed symmetry, Mathematics of Computation, vol.76, issue.260, pp.1699-1723, 2007. ,
DOI : 10.1090/S0025-5718-07-01998-9
URL : http://arxiv.org/abs/math/0701506
Mixed finite elements for elasticity, Numerische Mathematik, vol.92, issue.3, pp.401-419, 2002. ,
DOI : 10.1007/s002110100348
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.163.5703
Some aspects of the method of the hypercircle applied to elliptic variational problems, Numerical Solution of Partial Differential Equations-II, pp.1-67, 1971. ,
Irregularity of shape optimization problems and an improvement technique, Computer Aided Optimization Design of Structures V, pp.309-326, 1997. ,
A feedback finite element method with a posteriori error estimation: Part I. The finite element method and some basic properties of the a posteriori error estimator, Computer Methods in Applied Mechanics and Engineering, vol.61, issue.1, pp.1-40, 1987. ,
DOI : 10.1016/0045-7825(87)90114-9
A-posteriori error estimates for the finite element method, International Journal for Numerical Methods in Engineering, vol.15, issue.10, pp.1597-1615, 1978. ,
DOI : 10.1002/nme.1620121010
Analysis of optimal finite-element meshes in ${\bf R}\sp{1}$, Mathematics of Computation, vol.33, issue.146, pp.435-463, 1979. ,
DOI : 10.1090/S0025-5718-1979-0521270-2
A Posteriori Error Analysis of Finite Element Solutions for One-Dimensional Problems, SIAM Journal on Numerical Analysis, vol.18, issue.3, pp.565-589, 1981. ,
DOI : 10.1137/0718036
The Finite Element Method and Its Reliability. Numerical mathematics and scientific computation, 2001. ,
Guaranteed computable bounds for the exact error in the finite element solution Part I: One-dimensional model problem, Computer Methods in Applied Mechanics and Engineering, vol.176, issue.1-4, pp.51-79, 1999. ,
DOI : 10.1016/S0045-7825(99)00330-8
Shape Optimization by Free-Form Deformation: Existence Results and Numerical Solution for Stokes Flows, Journal of Scientific Computing, vol.20, issue.4, pp.537-563, 2014. ,
DOI : 10.1007/s10915-013-9807-8
Adaptive finite element methods for differential equations, Lectures in Mathematics ETH Zürich. Birkhäuser Verlag, 2003. ,
DOI : 10.1007/978-3-0348-7605-6
Introduction to optimization of structures, 1990. ,
Mesh refinement for shape optimization, Structural Optimization, vol.32, issue.1, pp.46-51, 1995. ,
DOI : 10.1007/BF01742644
Some a posteriori error estimators for elliptic partial differential equations, Mathematics of Computation, vol.44, issue.170, pp.283-301, 1985. ,
DOI : 10.1090/S0025-5718-1985-0777265-X
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.42.618
A Note on the Poincar?? Inequality for Convex Domains, Zeitschrift f??r Analysis und ihre Anwendungen, vol.22, issue.4, pp.751-756, 2003. ,
DOI : 10.4171/ZAA/1170
An optimal control approach to a posteriori error estimation in finite element methods, Acta Numerica, vol.10, pp.1-102, 2001. ,
DOI : 10.1017/S0962492901000010
Shape sensitivity analysis for an interface problem via minimax differentiability, Applied Mathematics and Computation, vol.219, issue.12, pp.6828-6842, 2013. ,
DOI : 10.1016/j.amc.2013.01.023
Optimal shape design as a material distribution problem, Structural Optimization, vol.23, issue.4, pp.193-202, 1989. ,
DOI : 10.1007/BF01650949
Optimization of Structural Topology, Shape, and Material, 1995. ,
DOI : 10.1007/978-3-662-03115-5
Generating optimal topologies in structural design using a homogenization method, Computer Methods in Applied Mechanics and Engineering, vol.71, issue.2, pp.197-224, 1988. ,
DOI : 10.1016/0045-7825(88)90086-2
Material interpolation schemes in topology optimization, Archive of Applied Mechanics (Ingenieur Archiv), vol.69, issue.9-10, pp.635-654, 1999. ,
DOI : 10.1007/s004190050248
Topology optimization, Theory, methods and applications, 2003. ,
A Unified Discrete???Continuous Sensitivity Analysis Method for Shape Optimization, Applied and Numerical Partial Differential Equations: Scientific Computing in Simulation, Optimization and Control in a Multidisciplinary Context, pp.25-39, 2010. ,
DOI : 10.1007/978-90-481-3239-3_4
Practical Methods for Optimal Control using Nonlinear Programming, of Advances in Design and Control. SIAM, 2001. ,
DOI : 10.1115/1.1483351
Discretize then optimize, Mathematics for industry: challenges and frontiers, pp.140-157, 2005. ,
Optimum shape design of shoulder fillets in tension bars and T-heads, International Journal of Mechanical Sciences, vol.21, issue.1, pp.29-39, 1979. ,
DOI : 10.1016/0020-7403(79)90074-2
Adaptive Finite Element Methods with convergence rates, Numerische Mathematik, vol.97, issue.2, pp.219-268, 2004. ,
DOI : 10.1007/s00211-003-0492-7
URL : http://nbn-resolving.de/urn/resolver.pl?urn=urn:nbn:de:bvb:12-bsb00080007-1
Reduced symmetry elements in linear elasticity, Commun. Pure Appl. Anal, vol.8, issue.1, pp.95-121, 2009. ,
Mixed finite element methods and applications ,
DOI : 10.1007/978-3-642-36519-5
Sounding of finite solid bodies by way of topological derivative, International Journal for Numerical Methods in Engineering, vol.55, issue.13, pp.612344-2373, 2004. ,
DOI : 10.1002/nme.1153
URL : https://hal.archives-ouvertes.fr/hal-00111263
Electrical impedance tomography, Inverse Problems, vol.18, issue.6, p.99, 2002. ,
DOI : 10.1088/0266-5611/18/6/201
Dual mixed finite element methods for the elasticity problem with Lagrange multipliers, Journal of Computational and Applied Mathematics, vol.221, issue.1, pp.234-260, 2008. ,
DOI : 10.1016/j.cam.2007.10.061
Filters in topology optimization, International Journal for Numerical Methods in Engineering, vol.18, issue.9, pp.2143-2158, 2001. ,
DOI : 10.1002/nme.116
Design-dependent loads in topology optimization, ESAIM: Control, Optimisation and Calculus of Variations, vol.9, issue.8, pp.19-48, 2003. ,
DOI : 10.1051/cocv:2002070
URL : http://www.numdam.org/article/COCV_2003__9__19_0.pdf
Finite Elements: Theory, fast solvers and applications in solid mechanics, 2nd edn, Measurement Science and Technology, vol.13, issue.9, 2001. ,
DOI : 10.1088/0957-0233/13/9/704
An Equilibrated A Posteriori Error Estimator for the Interior Penalty Discontinuous Galerkin Method, SIAM Journal on Numerical Analysis, vol.52, issue.4, pp.2121-2136, 2014. ,
DOI : 10.1137/130916540
Equilibrated residual error estimator for edge elements, Mathematics of Computation, vol.77, issue.262, pp.651-672, 2008. ,
DOI : 10.1090/S0025-5718-07-02080-7
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.153.7962
Shape optimal design using B-splines, Computer Methods in Applied Mechanics and Engineering, vol.44, issue.3, pp.247-267, 1984. ,
DOI : 10.1016/0045-7825(84)90132-4
The mathematical theory of finite element methods, Texts in Applied Mathematics, vol.15, 2008. ,
On the existence, uniqueness and approximation of saddle-point problems arising from lagrangian multipliers, Revue fran??aise d'automatique, informatique, recherche op??rationnelle. Analyse num??rique, vol.8, issue.R2, pp.129-151, 1974. ,
DOI : 10.1051/m2an/197408R201291
Recent results on mixed finite element methods for second order elliptic problems Optimization Software, Vistas in applied mathematics, pp.25-43, 1986. ,
Geometric sensitivity analysis with isoparametric finite elements, Communications in Applied Numerical Methods, vol.20, issue.6, pp.495-499, 1987. ,
DOI : 10.1002/cnm.1630030609
Topology optimization with mixed finite elements on regular grids, Computer Methods in Applied Mechanics and Engineering, vol.305, pp.133-153, 2016. ,
DOI : 10.1016/j.cma.2016.03.010
An alternative truly-mixed formulation to solve pressure load problems in topology optimization, Computer Methods in Applied Mechanics and Engineering, vol.198, issue.17-20, pp.17-201500, 2009. ,
DOI : 10.1016/j.cma.2008.12.009
Topology optimization of incompressible media using mixed finite elements, Computer Methods in Applied Mechanics and Engineering, vol.196, issue.33-34, pp.33-343151, 2007. ,
DOI : 10.1016/j.cma.2007.02.013
A mixed FEM approach to stress-constrained topology optimization, International Journal for Numerical Methods in Engineering, vol.39, issue.12, pp.1693-1714, 2008. ,
DOI : 10.1002/nme.2138
Variational methods in shape optimization problems, Progress in Nonlinear Differential Equations and their Applications, 2005. ,
URL : https://hal.archives-ouvertes.fr/hal-00414080
Incorporating topological derivatives into level set methods, Journal of Computational Physics, vol.194, issue.1, pp.344-362, 2004. ,
DOI : 10.1016/j.jcp.2003.09.033
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.9.8456
A survey on level set methods for inverse problems and optimal design, European Journal of Applied Mathematics, vol.16, issue.2, pp.263-301, 2005. ,
DOI : 10.1017/S0956792505006182
Phase???Field Relaxation of Topology Optimization with Local Stress Constraints, SIAM Journal on Control and Optimization, vol.45, issue.4, pp.1447-1466, 2006. ,
DOI : 10.1137/05062723X
A Domain Decomposition Method Based on Weighted Interior Penalties for Advection???Diffusion???Reaction Problems, SIAM Journal on Numerical Analysis, vol.44, issue.4, pp.1612-1638, 2006. ,
DOI : 10.1137/050634736
Free Energy of a Nonuniform System. I. Interfacial Free Energy, The Journal of Chemical Physics, vol.184, issue.2, pp.258-267, 1958. ,
DOI : 10.1039/df9531500210
On an inverse boundary value problem, Seminar on Numerical Analysis and its Applications to Continuum Physics, pp.65-73, 1980. ,
DOI : 10.1590/S0101-82052006000200002
The minimum energy of bending as a possible explanation of the biconcave shape of the human red blood cell, Journal of Theoretical Biology, vol.26, issue.1, pp.61-81, 1970. ,
DOI : 10.1016/S0022-5193(70)80032-7
Hybrid topological derivative and gradient-based methods for electrical impedance tomography, Inverse Problems, vol.28, issue.9, p.95010, 2012. ,
DOI : 10.1088/0266-5611/28/9/095010
URL : http://oa.upm.es/15422/
Computational competition of symmetric mixed FEM in linear elasticity, Computer Methods in Applied Mechanics and Engineering, vol.200, issue.41-44, pp.2903-2915, 2011. ,
DOI : 10.1016/j.cma.2011.05.013
Fully Reliable Localized Error Control in the FEM, SIAM Journal on Scientific Computing, vol.21, issue.4, pp.1465-1484, 1999. ,
DOI : 10.1137/S1064827597327486
Constants in Clément-interpolation error and residual based a posteriori estimates in finite element methods, East-West J. Numer. Math, vol.8, issue.3, pp.153-175, 2000. ,
The Arnold???Winther mixed FEM in linear elasticity. Part I: Implementation and numerical verification, Computer Methods in Applied Mechanics and Engineering, vol.197, issue.33-40, pp.3014-3023, 2008. ,
DOI : 10.1016/j.cma.2008.02.005
Effective postprocessing for equilibration a posteriori error estimators, Numerische Mathematik, vol.47, issue.3, pp.425-459, 2013. ,
DOI : 10.1007/s00211-012-0494-4
Quasi-Optimal Convergence Rate for an Adaptive Finite Element Method, SIAM Journal on Numerical Analysis, vol.46, issue.5, pp.2524-2550, 2008. ,
DOI : 10.1137/07069047X
Conception optimale ou identification de formes, calcul rapide de la d??riv??e directionnelle de la fonction co??t, ESAIM: Mathematical Modelling and Numerical Analysis, vol.20, issue.3, pp.371-402, 1986. ,
DOI : 10.1051/m2an/1986200303711
Level set topology optimization of fluids in Stokes flow, International Journal for Numerical Methods in Engineering, vol.36, issue.3, pp.1284-1308, 2009. ,
DOI : 10.1002/nme.2616
A Density Result in Two-Dimensional Linearized Elasticity, and Applications, Archive for Rational Mechanics and Analysis, vol.167, issue.3, pp.211-233, 2003. ,
DOI : 10.1007/s00205-002-0240-7
On the existence of a solution in a domain identification problem, Journal of Mathematical Analysis and Applications, vol.52, issue.2, pp.189-219, 1975. ,
DOI : 10.1016/0022-247X(75)90091-8
Electrical Impedance Tomography, SIAM Review, vol.41, issue.1, pp.85-101, 1999. ,
DOI : 10.1137/S0036144598333613
Electrode models for electric current computed tomography, IEEE Transactions on Biomedical Engineering, vol.36, issue.9, pp.918-924, 1989. ,
DOI : 10.1109/10.35300
Adaptive computations of a posteriori finite element output bounds: a comparison of the ???hybrid-flux??? approach and the ???flux-free??? approach, Computer Methods in Applied Mechanics and Engineering, vol.193, issue.36-38 ,
DOI : 10.1016/j.cma.2004.02.012
An introduction to structural optimization, volume 153 of Solid Mechanics and its Applications, 2009. ,
Electrical impedance tomography using level set representation and total variational regularization, Journal of Computational Physics, vol.205, issue.1, pp.357-372, 2005. ,
DOI : 10.1016/j.jcp.2004.11.022
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.10.1497
Approximation by finite element functions using local regularization, Revue fran??aise d'automatique, informatique, recherche op??rationnelle. Analyse num??rique, vol.9, issue.R2, pp.77-84, 1975. ,
DOI : 10.1051/m2an/197509R200771
Equilibrated error estimators for discontinuous Galerkin methods, Numerical Methods for Partial Differential Equations, vol.33, issue.23, pp.1236-1252, 2008. ,
DOI : 10.1002/num.20315
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.506.3347
Weak imposition of essential boundary conditions in the finite element approximation of elliptic problems with non-matching meshes, International Journal for Numerical Methods in Engineering, vol.47, issue.3, pp.624-654, 2015. ,
DOI : 10.1002/nme.4815
Directional derivative of a minimax function, Nonlinear Analysis: Theory, Methods & Applications, vol.9, issue.1, pp.13-22, 1985. ,
DOI : 10.1016/0362-546X(85)90049-5
Shapes and geometries: analysis, differential calculus, and optimization, SIAM, 2001. ,
DOI : 10.1137/1.9780898719826
Cooperation and competition in multidisciplinary optimization, Computational Optimization and Applications, vol.2, issue.3, pp.29-68, 2012. ,
DOI : 10.1007/s10589-011-9395-1
Explicit error bounds in a conforming finite element method, Mathematics of Computation, vol.68, issue.228, pp.1379-1396, 1999. ,
DOI : 10.1090/S0025-5718-99-01093-5
Mathematical aspects of discontinuous Galerkin methods, ) [Mathematics & Applications ,
Shape optimization of structures for multiple loading conditions using a homogenization method, Structural Optimization, vol.2, issue.1, pp.17-22, 1992. ,
DOI : 10.1007/BF01894077
Discrete gradient flows for shape optimization and applications, Computer Methods in Applied Mechanics and Engineering, vol.196, issue.37-40, pp.3898-3914, 2007. ,
DOI : 10.1016/j.cma.2006.10.046
A Convergent Adaptive Algorithm for Poisson???s Equation, SIAM Journal on Numerical Analysis, vol.33, issue.3, pp.1106-1124, 1996. ,
DOI : 10.1137/0733054
Ultrasonic Flaw Detection for Technicians, 2004. ,
Topology and generalized shape optimization: Why stress constraints are so important?, International Journal for Simulation and Multidisciplinary Design Optimization, vol.2, issue.4, pp.253-258, 2008. ,
DOI : 10.1051/ijsmdo/2008034
URL : http://doi.org/10.1051/ijsmdo/2008034
A regularized Newton method in electrical impedance tomography using shape Hessian information, Control Cybern, vol.34, issue.1, pp.203-225, 2005. ,
Shape optimization for 3D electrical impedance tomography In Free and moving boundaries, Lect. Notes Pure Appl, vol.252, pp.165-183, 2007. ,
An accurate flux reconstruction for discontinuous Galerkin approximations of elliptic problems, Comptes Rendus Mathematique, vol.345, issue.12, pp.709-712, 2007. ,
DOI : 10.1016/j.crma.2007.10.036
Guaranteed and robust discontinuous Galerkin a posteriori error estimates for convection???diffusion???reaction problems, Journal of Computational and Applied Mathematics, vol.234, issue.1, pp.114-130, 2010. ,
DOI : 10.1016/j.cam.2009.12.009
URL : https://hal.archives-ouvertes.fr/hal-00193540
A discontinuous Galerkin method with weighted averages for advection-diffusion equations with locally small and anisotropic diffusivity, IMA Journal of Numerical Analysis, vol.29, issue.2, pp.235-256, 2009. ,
DOI : 10.1093/imanum/drm050
Polynomial-Degree-Robust A Posteriori Estimates in a Unified Setting for Conforming, Nonconforming, Discontinuous Galerkin, and Mixed Discretizations, SIAM Journal on Numerical Analysis, vol.53, issue.2, pp.1058-1081, 2015. ,
DOI : 10.1137/130950100
URL : https://hal.archives-ouvertes.fr/hal-00921583
Bubble method for topology and shape optimization of structures, Structural Optimization, vol.24, issue.2, pp.42-51, 1994. ,
DOI : 10.1007/BF01742933
Dual hybrid methods for the elasticity and the Stokes problems: a unified approach, Numerische Mathematik, vol.76, issue.4, pp.419-440, 1997. ,
DOI : 10.1007/s002110050270
Anisotropic mesh adaptation in computational fluid dynamics: Application to the advection???diffusion???reaction and the Stokes problems, Applied Numerical Mathematics, vol.51, issue.4, pp.511-533, 2004. ,
DOI : 10.1016/j.apnum.2004.06.007
Anisotropic error estimates for elliptic problems, Numerische Mathematik, vol.94, issue.1, pp.67-92, 2003. ,
DOI : 10.1007/s00211-002-0415-z
Displacement and equilibrium models in the finite element method, Stress Analysis, pp.145-197, 1965. ,
Stress function approach, Proceedings of the World Congress on Finite Element Methods in Structural Mechanics, 1975. ,
Shape Optimization for Stokes flows: a finite element convergence analysis, ESAIM: Mathematical Modelling and Numerical Analysis, vol.49, issue.4, pp.921-951, 2015. ,
DOI : 10.1051/m2an/2014060
A critical comparative assessment of differential equation-driven methods for structural topology optimization, Structural and Multidisciplinary Optimization, vol.196, issue.4???6, pp.685-710, 2013. ,
DOI : 10.1007/s00158-013-0935-4
Optimal shape design for Stokes flow via minimax differentiability, Mathematical and Computer Modelling, vol.48, issue.3-4, pp.3-4429, 2008. ,
DOI : 10.1016/j.mcm.2007.10.006
URL : http://doi.org/10.1016/j.mcm.2007.10.006
Analysis of a new augmented mixed finite element method for linear elasticity allowing $\mathbb{RT}_0$-$\mathbb{P}_1$-$\mathbb{P}_0$ approximations, ESAIM: Mathematical Modelling and Numerical Analysis, vol.40, issue.1, pp.1-28, 2006. ,
DOI : 10.1051/m2an:2006003
A new dual-mixed finite element method for the plane linear elasticity problem with pure traction boundary conditions, Computer Methods in Applied Mechanics and Engineering, vol.197, issue.9-12, pp.9-121115, 2008. ,
DOI : 10.1016/j.cma.2007.10.003
Design of composite plates of extremal rigidity. Preprint, Ioffe Physicotechnical Institute, 1984. ,
Adjoint methods for PDEs: a posteriori error analysis and postprocessing by duality, Acta Numer, vol.11, pp.145-236, 2002. ,
DOI : 10.1017/s096249290200003x
Numerical simulation for some applied problems originating from continuum mechanics, Lect. Notes Phys, vol.195, pp.96-145, 1983. ,
DOI : 10.1007/3-540-12916-2_53
Numerical study of a relaxed variational problem from optimal design, Computer Methods in Applied Mechanics and Engineering, vol.57, issue.1, pp.107-127, 1986. ,
DOI : 10.1016/0045-7825(86)90073-3
Introduction to Linear Elasticity. Introduction to Linear Elasticity, 1993. ,
DOI : 10.1007/978-1-4614-4833-4
Goal-oriented error estimation in the analysis of fluid flows with structural interactions, Computer Methods in Applied Mechanics and Engineering, vol.195, issue.41-43, pp.5673-5684, 2006. ,
DOI : 10.1016/j.cma.2005.10.020
Preprocessing and postprocessing for materials based on the homogenization method with adaptive finite element methods, Computer Methods in Applied Mechanics and Engineering, vol.83, issue.2, pp.143-198, 1990. ,
DOI : 10.1016/0045-7825(90)90148-F
Achieving minimum length scale in topology optimization using nodal design variables and projection functions, International Journal for Numerical Methods in Engineering, vol.61, issue.2, pp.238-254, 2004. ,
DOI : 10.1002/nme.1064
Multidisciplinary topology optimization solved as a Nash game, International Journal for Numerical Methods in Engineering, vol.61, issue.7, pp.61949-963, 2004. ,
DOI : 10.1002/nme.1093
Mémoire sur leprobì eme d'analyse relatifàrelatifà l'´ equilibre des plaquesélastiquesplaquesélastiques encastrées, B. Soc. Math. Fr, 1907. ,
JUSTIFICATION OF POINT ELECTRODE MODELS IN ELECTRICAL IMPEDANCE TOMOGRAPHY, Mathematical Models and Methods in Applied Sciences, vol.142, issue.06, pp.1395-1413, 2011. ,
DOI : 10.1137/0152060
X-ray based methods for non-destructive testing and material characterization. Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment Radiation Imaging Detectors, Proceedings of the 9th International Workshop on Radiation Imaging Detectors, pp.14-18, 2007. ,
DOI : 10.1016/j.nima.2008.03.016
Uniformly high order accurate essentially non-oscillatory schemes, III, Journal of Computational Physics, vol.71, issue.2, pp.231-303, 1987. ,
DOI : 10.1016/0021-9991(87)90031-3
Adjoint Consistency Analysis of Discontinuous Galerkin Discretizations, SIAM Journal on Numerical Analysis, vol.45, issue.6, pp.2671-2696, 2007. ,
DOI : 10.1137/060665117
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.627.3330
Convergence of a finite element method based on the dual variational formulation, Apl. Mat, vol.21, issue.1, pp.43-65, 1976. ,
BAMG: Bidimensional Anisotropic Mesh Generator, 2006. ,
New development in freefem++, Journal of Numerical Mathematics, vol.20, issue.3-4, pp.251-265, 2012. ,
DOI : 10.1515/jnum-2012-0013
Abstract, Zeitschrift f??r Naturforschung C, vol.28, issue.11-12, pp.693-703, 1973. ,
DOI : 10.1515/znc-1973-11-1209
Variation et optimisation de formes: Une analyse géométrique, 2005. ,
DOI : 10.1007/3-540-37689-5
Electrical impedance tomography: from topology to shape, Control Cybern, vol.37, issue.4, pp.913-933, 2008. ,
Second-order topological expansion for electrical impedance tomography, Advances in Computational Mathematics, vol.37, issue.4, pp.235-265, 2012. ,
DOI : 10.1007/s10444-011-9205-4
Abstract, Computational Methods in Applied Mathematics, vol.15, issue.3, pp.291-305, 2015. ,
DOI : 10.1515/cmam-2015-0013
Comparison of approximate shape gradients, BIT Numerical Mathematics, vol.85, issue.5, pp.459-485, 2015. ,
DOI : 10.1007/s10543-014-0515-z
Electrical Impedance Tomography: Methods, History and Applications. Series in Medical Physics and Biomedical Engineering, 2004. ,
DOI : 10.1201/9781420034462
Korn???s Inequalities and Their Applications in Continuum Mechanics, SIAM Review, vol.37, issue.4, pp.491-511, 1995. ,
DOI : 10.1137/1037123
APPROXIMATING IDEALIZED BOUNDARY DATA OF ELECTRIC IMPEDANCE TOMOGRAPHY BY ELECTRODE MEASUREMENTS, Mathematical Models and Methods in Applied Sciences, vol.19, issue.07, pp.1185-1202, 2009. ,
DOI : 10.2307/1971291
An analysis of electrical impedance tomography with applications to Tikhonov regularization, ESAIM: Control, Optimisation and Calculus of Variations, vol.18, issue.4, pp.1027-1048, 2012. ,
DOI : 10.1051/cocv/2011193
Adaptive finite element methods in computational mechanics, Computer Methods in Applied Mechanics and Engineering, vol.101, issue.1-3, pp.143-181, 1992. ,
DOI : 10.1016/0045-7825(92)90020-K
A posteriori error analysis and adaptive processes in the finite element method: Part I???error analysis, International Journal for Numerical Methods in Engineering, vol.10, issue.18, pp.1593-1619, 1983. ,
DOI : 10.1002/nme.1620191103
Multipoint High-Fidelity Aerostructural Optimization of a Transport Aircraft Configuration, Journal of Aircraft, vol.51, issue.1, pp.144-160, 2014. ,
DOI : 10.2514/1.C032150
Adaptive Finite Element Methods for Shape Optimization of Linearly Elastic Structures, Comput. Method. Appl. M, vol.57, pp.67-89, 1986. ,
DOI : 10.1007/978-1-4615-9483-3_6
A posteriori error analysis for locally conservative mixed methods, Mathematics of Computation, vol.76, issue.257, pp.43-66, 2007. ,
DOI : 10.1090/S0025-5718-06-01903-X
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.154.2285
Computing geodesic paths on manifolds, Proceedings of the National Academy of Sciences, vol.95, issue.15, pp.8431-8435, 1998. ,
DOI : 10.1073/pnas.95.15.8431
URL : http://www.ncbi.nlm.nih.gov/pmc/articles/PMC21092
error estimates for finite element discretizations of a shape optimization problem, ESAIM: Mathematical Modelling and Numerical Analysis, vol.47, issue.6, pp.1733-1763, 2013. ,
DOI : 10.1051/m2an/2013086
Optimum structural design: concepts, methods, and applications, 1981. ,
A preconditioner for the equations of linear elasticity discretized by the PEERS element, Numerical Linear Algebra with Applications, vol.11, issue.56, pp.493-510, 2004. ,
DOI : 10.1002/nla.357
Relaxation of a variational method for impedance computed tomography, Communications on Pure and Applied Mathematics, vol.34, issue.6, pp.745-777, 1987. ,
DOI : 10.1002/cpa.3160400605
Optimal design and relaxation of variational problems, I, Communications on Pure and Applied Mathematics, vol.34, issue.1, pp.113-137, 1986. ,
DOI : 10.1002/cpa.3160390107
Optimal design and relaxation of variational problems, I, Communications on Pure and Applied Mathematics, vol.34, issue.1, pp.139-182, 1986. ,
DOI : 10.1002/cpa.3160390107
Optimal design and relaxation of variational problems, I, Communications on Pure and Applied Mathematics, vol.34, issue.1, pp.353-377, 1986. ,
DOI : 10.1002/cpa.3160390107
Levelset based fluid topology optimization using the extended finite element method, Structural and Multidisciplinary Optimization, vol.227, issue.24, pp.311-326, 2012. ,
DOI : 10.1007/s00158-012-0782-8
The Constitutive Relation Error Method: A General Verification Tool, pp.59-94 ,
DOI : 10.1007/978-3-319-20553-3_4
Error Estimate Procedure in the Finite Element Method and Applications, SIAM Journal on Numerical Analysis, vol.20, issue.3, pp.485-509, 1983. ,
DOI : 10.1137/0720033
Parametric free-form shape design with PDE models and reduced basis method, Computer Methods in Applied Mechanics and Engineering, vol.199, issue.23-24, pp.1583-1592, 2010. ,
DOI : 10.1016/j.cma.2010.01.007
URL : http://infoscience.epfl.ch/record/143436
Newton's Method for a Class of Optimal Shape Design Problems, SIAM Journal on Optimization, vol.10, issue.2, pp.503-533, 2000. ,
DOI : 10.1137/S1052623496302877
averaged adjoint method and applications, ESAIM: Mathematical Modelling and Numerical Analysis, vol.50, issue.4, pp.1241-1267, 2016. ,
DOI : 10.1051/m2an/2015075
Extended exact solutions for least-weight truss layouts???Part I: Cantilever with a horizontal axis of symmetry, International Journal of Mechanical Sciences, vol.36, issue.5, pp.375-398, 1994. ,
DOI : 10.1016/0020-7403(94)90043-4
A Local A Posteriori Error Estimator Based on Equilibrated Fluxes, SIAM Journal on Numerical Analysis, vol.42, issue.4, pp.1394-1414, 2004. ,
DOI : 10.1137/S0036142903433790
URL : https://hal.archives-ouvertes.fr/inria-00343040
Regularization of optimal design problems for bars and plates, part 1, Journal of Optimization Theory and Applications, vol.10, issue.4, pp.499-522, 1982. ,
DOI : 10.1007/BF00934953
Regularization of optimal design problems for bars and plates, part 2, Journal of Optimization Theory and Applications, vol.37, issue.4, pp.523-543, 1982. ,
DOI : 10.1007/BF00934954
A ???flux-free??? nodal Neumann subproblem approach to output bounds for partial differential equations, Comptes Rendus de l'Acad??mie des Sciences - Series I - Mathematics, vol.330, issue.3, pp.249-254, 2000. ,
DOI : 10.1016/S0764-4442(00)00122-1
Mathematical Foundations of Elasticity, Journal of Applied Mechanics, vol.51, issue.4, 1994. ,
DOI : 10.1115/1.3167757
URL : http://authors.library.caltech.edu/25074/1/Mathematical_Foundations_of_Elasticity.pdf
Multidisciplinary Design Optimization: A Survey of Architectures, AIAA Journal, vol.51, issue.9, pp.2049-2075, 2013. ,
DOI : 10.2514/1.J051895
Variational methods in mathematical physics Translated by T. Boddington, 1964. ,
Applied shape optimization for fluids. Numerical mathematics and scientific computation Autre tirage, 2001. ,
DOI : 10.1093/acprof:oso/9780199546909.001.0001
URL : https://hal.archives-ouvertes.fr/hal-00385714
Adaptive finite element method for shape optimization, ESAIM: Control, Optimisation and Calculus of Variations, vol.18, issue.4, pp.1122-1149, 2012. ,
DOI : 10.1051/cocv/2011192
Data Oscillation and Convergence of Adaptive FEM, SIAM Journal on Numerical Analysis, vol.38, issue.2, pp.466-488, 2000. ,
DOI : 10.1137/S0036142999360044
Local problems on stars: A posteriori error estimators, convergence, and performance, Mathematics of Computation, vol.72, issue.243, pp.1067-1097, 2003. ,
DOI : 10.1090/S0025-5718-02-01463-1
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.192.3863
A family of mixed finite elements for linear elasticity, Numerische Mathematik, vol.31, issue.6, pp.633-666, 1989. ,
DOI : 10.1007/BF01389334
Goal-oriented error estimation based on equilibrated-flux reconstruction for finite element approximations of elliptic problems, Computer Methods in Applied Mechanics and Engineering, vol.288, pp.127-145, 2015. ,
DOI : 10.1016/j.cma.2014.09.025
URL : https://hal.archives-ouvertes.fr/hal-00985971
Topology and shape optimization methods using evolutionary algorithms: a review, Structural and Multidisciplinary Optimization, vol.38, issue.3, pp.613-631, 2015. ,
DOI : 10.1007/s00158-015-1261-9
Sur le contrôle par un domaine géométrique, Internal Report, vol.76, issue.015, 1976. ,
Calcul des Variations et homogénéisation, Coll. Dir. Etudes et Recherces EDF, vol.57, pp.319-369, 1985. ,
Optimality conditions and homogenization, Nonlinear variational problems, pp.1-8, 1983. ,
An a posteriori error estimator for the Lame equation based on equilibrated fluxes, IMA Journal of Numerical Analysis, vol.28, issue.2, pp.331-353, 2008. ,
DOI : 10.1093/imanum/drm008
Numerical optimization, 1999. ,
DOI : 10.1007/b98874
Theory of adaptive finite element methods: An introduction, Multiscale, Nonlinear and Adaptive Approximation, pp.409-542, 2009. ,
DOI : 10.1007/978-3-642-03413-8_12
A safeguarded dual weighted residual method, IMA Journal of Numerical Analysis, vol.29, issue.1, pp.126-140, 2009. ,
DOI : 10.1093/imanum/drm026
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.158.9355
Goal-oriented error estimation and adaptivity for the finite element method, Computers & Mathematics with Applications, vol.41, issue.5-6, pp.5-6735, 2001. ,
DOI : 10.1016/S0898-1221(00)00317-5
URL : http://doi.org/10.1016/s0898-1221(00)00317-5
Local error estimates of FEM for displacements and stresses in linear elasticity by solving local Neumann problems, International Journal for Numerical Methods in Engineering, vol.4, issue.7, pp.727-746, 2001. ,
DOI : 10.1002/nme.228
Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations, Journal of Computational Physics, vol.79, issue.1, pp.12-49, 1988. ,
DOI : 10.1016/0021-9991(88)90002-2
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.413.5254
High-Order Essentially Nonoscillatory Schemes for Hamilton???Jacobi Equations, SIAM Journal on Numerical Analysis, vol.28, issue.4, pp.907-922, 1991. ,
DOI : 10.1137/0728049
URL : http://www.dtic.mil/get-tr-doc/pdf?AD=ADA219518
Sensibilité de l'´ equation de la chaleur aux sauts de conductivité, C. R. Acad. Sci. I-Math, issue.341, pp.333-337, 2005. ,
DOI : 10.1016/j.crma.2005.07.005
Simultaneous shape, topology, and homogenized properties optimization, Structural and Multidisciplinary Optimization, vol.37, issue.4, pp.361-365, 2007. ,
DOI : 10.1007/s00158-006-0080-4
A Post-Treatment of the Homogenization Method for Shape Optimization, SIAM Journal on Control and Optimization, vol.47, issue.3, pp.1380-1398, 2008. ,
DOI : 10.1137/070688900
A posteriori finite element bounds for linear-functional outputs of elliptic partial differential equations, Symposium on Advances in Computational Mechanics, pp.289-312, 1997. ,
DOI : 10.1016/S0045-7825(97)00086-8
The computation of bounds for linear-functional outputs of weak solutions to the two-dimensional elasticity equations, Computer Methods in Applied Mechanics and Engineering, vol.195, issue.4-6, pp.406-429, 2006. ,
DOI : 10.1016/j.cma.2004.10.013
Subdomain-based flux-free a posteriori error estimators, Computer Methods in Applied Mechanics and Engineering, vol.195, issue.4-6, pp.4-6297, 2006. ,
DOI : 10.1016/j.cma.2004.06.047
Exact Bounds for Linear Outputs of the Convection-Diffusion-Reaction Equation Using Flux-Free Error Estimates, Meshfree Methods for Partial Differential Equations IV, pp.215-230, 2008. ,
DOI : 10.1007/978-3-540-79994-8_13
TANGENTIAL-DISPLACEMENT AND NORMAL???NORMAL-STRESS CONTINUOUS MIXED FINITE ELEMENTS FOR ELASTICITY, Mathematical Models and Methods in Applied Sciences, vol.42, issue.08, pp.1761-1782, 2011. ,
DOI : 10.1002/nme.1620240206
A Finite Element Analysis of Optimal Variable Thickness Sheets, SIAM Journal on Numerical Analysis, vol.36, issue.6, pp.1759-1778, 1999. ,
DOI : 10.1137/S0036142996313968
Slope constrained topology optimization, International Journal for Numerical Methods in Engineering, vol.89, issue.8, pp.1417-1434, 1998. ,
DOI : 10.1002/(SICI)1097-0207(19980430)41:8<1417::AID-NME344>3.0.CO;2-N
Optimal Shape Design for Elliptic Systems, 1984. ,
DOI : 10.1007/bfb0006123
Analysis of a subdomain-based error estimator for finite element approximations of elliptic problems, Numerical Methods for Partial Differential Equations, vol.46, issue.2, pp.165-192, 2004. ,
DOI : 10.1002/num.10082
On goal-oriented error estimation for elliptic problems: application to the control of pointwise errors, Computer Methods in Applied Mechanics and Engineering, vol.176, issue.1-4, pp.313-331, 1999. ,
DOI : 10.1016/S0045-7825(98)00343-0
Practical methods fora posteriori error estimation in engineering applications, International Journal for Numerical Methods in Engineering, vol.47, issue.8, pp.1193-1224, 2003. ,
DOI : 10.1002/nme.609
A mixed finite element method for 2-nd order elliptic problems, Proc. Conf., Consiglio Naz, pp.292-315, 1975. ,
DOI : 10.1007/BF01436186
On a Variational Theorem in Elasticity, Journal of Mathematics and Physics, vol.5, issue.1-4, pp.90-95, 1950. ,
DOI : 10.1002/sapm195029190
A posteriori error estimation for variational problems with uniformly convex functionals, Mathematics of Computation, vol.69, issue.230, pp.481-500, 2000. ,
DOI : 10.1090/S0025-5718-99-01190-4
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.107.3482
Adaptive Newton-like method for shape optimization, Control Cybern, vol.34, issue.1, pp.363-377, 2005. ,
Efficient assembly of H(div) and H(curl) conforming finite elements, SIAM J. Sci. Comput, issue.6, pp.314130-4151, 2009. ,
DOI : 10.1137/08073901x
Structural design via optimality criteria, volume 8 of Mechanics of Elastic and Inelastic Solids, The Prager approach to structural optimization, 1989. ,
A critical review of established methods of structural topology optimization, Structural and Multidisciplinary Optimization, vol.21, issue.1, pp.217-237, 2009. ,
DOI : 10.1007/s00158-007-0217-0
Goal-oriented explicit residual-type error estimates in XFEM, Computational Mechanics, vol.195, issue.2, pp.361-376, 2013. ,
DOI : 10.1007/s00466-012-0816-5
Computing Bounds for Linear Functionals of Exact Weak Solutions to Poisson's Equation, SIAM Journal on Numerical Analysis, vol.42, issue.4, pp.1610-1630, 2004. ,
DOI : 10.1137/S0036142903425045
Structural optimization, Mathematical Concepts and Methods in Science and Engineering, vol.1, issue.34, 1985. ,
DOI : 10.1007/978-1-4615-7921-2
Adaptive FE-procedures in shape optimization, Structural and Multidisciplinary Optimization, vol.19, issue.4, pp.282-302, 2000. ,
DOI : 10.1007/s001580050125
The coupling of geometric descriptions and finite elements using NURBs ??? A study in shape optimization, Finite Elements in Analysis and Design, vol.15, issue.1, pp.11-34, 1993. ,
DOI : 10.1016/0168-874X(93)90067-Z
On the detectability of transverse cracks in laminated composites using electrical potential change measurements, Composite Structures, vol.121, pp.237-246, 2015. ,
DOI : 10.1016/j.compstruct.2014.11.008
A fast marching level set method for monotonically advancing fronts., Proceedings of the National Academy of Sciences, vol.93, issue.4, pp.1591-1595, 1996. ,
DOI : 10.1073/pnas.93.4.1591
URL : http://www.ncbi.nlm.nih.gov/pmc/articles/PMC39986
NURBS-enhanced finite element method (NEFEM), International Journal for Numerical Methods in Engineering, vol.55, issue.3, pp.56-83, 2008. ,
DOI : 10.1002/fld.1711
URL : http://upcommons.upc.edu/bitstream/2117/8158/3/2008-IJNME-SFH-blanc.pdf
An explicit expression for the penalty parameter of the interior penalty method, Journal of Computational Physics, vol.205, issue.2, pp.401-407, 2005. ,
DOI : 10.1016/j.jcp.2004.11.017
On the Design of Compliant Mechanisms Using Topology Optimization*, Mechanics of Structures and Machines, vol.44, issue.4, pp.493-524, 1997. ,
DOI : 10.1063/1.117961
Morphology-based black and white filters for topology optimization, Structural and Multidisciplinary Optimization, vol.21, issue.13, pp.401-424, 2007. ,
DOI : 10.1007/s00158-006-0087-x
On the usefulness of non-gradient approaches in topology optimization, Structural and Multidisciplinary Optimization, vol.89, issue.1???3, pp.589-596, 2011. ,
DOI : 10.1007/s00158-011-0638-7
Topology optimization using a mixed formulation: An alternative way to solve pressure load problems, Computer Methods in Applied Mechanics and Engineering, vol.196, issue.13-16, pp.13-161874, 2007. ,
DOI : 10.1016/j.cma.2006.09.021
Topology optimization approaches, Structural and Multidisciplinary Optimization, vol.15, issue.2, pp.1031-1055, 2013. ,
DOI : 10.1007/s00158-013-0978-6
Differentiation with Respect to the Domain in Boundary Value Problems, Numerical Functional Analysis and Optimization, vol.24, issue.7-8, pp.649-687, 1980. ,
DOI : 10.1016/0045-7825(78)90024-5
On the Topological Derivative in Shape Optimization, SIAM Journal on Control and Optimization, vol.37, issue.4, pp.1251-1272, 1999. ,
DOI : 10.1137/S0363012997323230
Introduction to shape optimization: shape sensitivity analysis, 1992. ,
Existence and Uniqueness for Electrode Models for Electric Current Computed Tomography, SIAM Journal on Applied Mathematics, vol.52, issue.4, pp.1023-1040, 1992. ,
DOI : 10.1137/0152060
Mechanical conditions for stability and optimal convergence of mixed finite elements for linear plane elasticity, Computer Methods in Applied Mechanics and Engineering, vol.84, issue.1, pp.77-95, 1990. ,
DOI : 10.1016/0045-7825(90)90090-9
On the construction of optimal mixed finite element methods for the linear elasticity problem, Numerische Mathematik, vol.19, issue.4, pp.447-462, 1986. ,
DOI : 10.1007/BF01389651
A family of mixed finite elements for the elasticity problem, Numerische Mathematik, vol.3, issue.5, pp.513-538, 1988. ,
DOI : 10.1007/BF01397550
Two low-order mixed methods for the elasticity problem In The mathematics of finite elements and applications, pp.271-280, 1987. ,
Optimality of a Standard Adaptive Finite Element Method, Foundations of Computational Mathematics, vol.7, issue.2, pp.245-269, 2007. ,
DOI : 10.1007/s10208-005-0183-0
The completion of locally refined simplicial partitions created by bisection, Mathematics of Computation, vol.77, issue.261, pp.227-241, 2008. ,
DOI : 10.1090/S0025-5718-07-01959-X
An alternative interpolation scheme for minimum compliance topology optimization, Structural and Multidisciplinary Optimization, vol.22, issue.2, pp.116-124, 2001. ,
DOI : 10.1007/s001580100129
The method of moving asymptotes???a new method for structural optimization, International Journal for Numerical Methods in Engineering, vol.20, issue.2, pp.359-373, 1987. ,
DOI : 10.1002/nme.1620240207
On optimal shape design, J. Math. Pure. Appl, vol.72, issue.96, pp.537-551, 1993. ,
A Global Uniqueness Theorem for an Inverse Boundary Value Problem, The Annals of Mathematics, vol.125, issue.1, pp.153-169, 1987. ,
DOI : 10.2307/1971291
Méthode desélémentsdeséléments finis hybrides duaux pour les problémes elliptiques du second ordre, ESAIM: Math. Model. Num, vol.10, issue.R3, pp.51-79, 1976. ,
DOI : 10.1051/m2an/197610r300511
Level-set methods for structural topology optimization: a review, Structural and Multidisciplinary Optimization, vol.42, issue.9, pp.437-472, 2013. ,
DOI : 10.1007/s00158-013-0912-y
Stress concentration minimization of 2D filets using X-FEM and level set description, Structural and Multidisciplinary Optimization, vol.192, issue.4, pp.425-438, 2007. ,
DOI : 10.1007/s00158-006-0091-1
Structural optimization by methods of feasible directions, Computers & Structures, vol.3, issue.4, pp.739-755, 1973. ,
DOI : 10.1016/0045-7949(73)90055-2
Complementary error bounds for elliptic systems and applications, Appl. Math. Comput, vol.219, issue.13, pp.7194-7205, 2013. ,
A posteriori error estimators for the Stokes equations, Numerische Mathematik, vol.4, issue.3, pp.309-325, 1989. ,
DOI : 10.1007/BF01390056
A Posteriori Error Estimation Techniques for Finite Element Methods, 2013. ,
DOI : 10.1093/acprof:oso/9780199679423.001.0001
Guaranteed and Fully Robust a posteriori Error Estimates for Conforming Discretizations of Diffusion Problems with Discontinuous Coefficients, Journal of Scientific Computing, vol.24, issue.2, pp.1-40, 2011. ,
DOI : 10.1007/s10915-010-9410-1
Optimal topologies derived from a phase-field method, Structural and Multidisciplinary Optimization, vol.33, issue.2, pp.171-183, 2012. ,
DOI : 10.1007/s00158-011-0688-x
PDE-driven level sets, shape sensitivity and curvature flow for structural topology optimization, CMES -Comp. Model. Eng, vol.6, issue.4, pp.373-395, 2004. ,
DOI : 10.1115/detc2004-57038
A level set method for structural topology optimization, Computer Methods in Applied Mechanics and Engineering, vol.192, issue.1-2, pp.227-246, 2003. ,
DOI : 10.1016/S0045-7825(02)00559-5
Phase field: a variational method for structural topology optimization, CMES -Comp. Model. Eng, vol.6, issue.6, pp.547-566, 2004. ,
Impedance-computed tomography algorithm and system, Applied Optics, vol.24, issue.23, pp.3985-3992, 1985. ,
DOI : 10.1364/AO.24.003985
A topology optimization method based on the level set method incorporating a fictitious interface energy, Computer Methods in Applied Mechanics and Engineering, vol.199, issue.45-48, pp.1992876-2891, 2010. ,
DOI : 10.1016/j.cma.2010.05.013
A level set-based topology optimization method targeting metallic waveguide design problems, International Journal for Numerical Methods in Engineering, vol.41, issue.5, pp.844-868, 2011. ,
DOI : 10.1002/nme.3135
Shapes and diffeomorphisms, Applied Mathematical Sciences, vol.171, 2010. ,
DOI : 10.1007/978-3-642-12055-8