Une Méthode Multi-´ echelle Couplée Volumes etÉlémentset´etÉléments Finis Application aux Matériaux Cimentaires, Internal CEA Report SFME, 2008. ,
Maquette solveur volumes finis multi-physique, Internal CEA Report SFME, pp.7-12, 2007. ,
Cha??neCha??ne de calcul pour la dégradation sous eau des bétons: méthodologie, outil et illustration, Internal CEA Report SFME, pp.7-13, 2007. ,
Shape Optimization by the Homogenization Method, Applied Mathematical Sciences, vol.146, 2001. ,
A multiscale finite element method for numerical homogenization, Multiscale Modeling and Simulation, pp.790-812, 2005. ,
Modeling of the link between microstructure and effective diffusivity of cement pastes using a simplified composite model, Cement and Concrete Research, vol.37, issue.3, pp.469-480, 2007. ,
DOI : 10.1016/j.cemconres.2006.06.004
Modélisation de la relation entre microstructure et diffusivité effective des pâtes de cimentàcimentà partir d'une méthode numérique 3d, Internal CEA Report DPC, 2006. ,
Modelling of the transition zone porosity, Cement and Concrete Research, vol.25, issue.4, pp.741-751, 1995. ,
DOI : 10.1016/0008-8846(95)00064-J
Description du Module MPCube Permettant la Simulation Numérique desÉcoulementsdes´desÉcoulements DiphasiquesàDiphasiquesà deux Composants en Milieu Poreux, Internal CEA Report SFME, pp.9-15, 2009. ,
Discontinuous Galerkin methods, ZAMM, vol.83, issue.11, pp.731-754, 2003. ,
DOI : 10.1002/zamm.200310088
URL : https://hal.archives-ouvertes.fr/hal-01352444
Convergence rate of a finite volume scheme for a two dimensional convection-diffusion problem, ESAIM: Mathematical Modelling and Numerical Analysis, vol.33, issue.3, pp.493-516, 1999. ,
DOI : 10.1051/m2an:1999149
The heterogeneous multiscale methods, Communications in Mathematical Sciences, vol.1, pp.87-132, 2003. ,
Online measurement of the grain size distribution of sand 0-4 mm used for the production of concrete, Particle and Particle Systems Characterization, pp.85-88, 1984. ,
Convergence of a Nonconforming Multiscale Finite Element Method, SIAM Journal on Numerical Analysis, vol.37, issue.3, pp.888-910, 2000. ,
DOI : 10.1137/S0036142997330329
A control volume method to solve an elliptic equation on a two-dimensional irregular mesh, Computer Methods in Applied Mechanics and Engineering, vol.100, issue.2, pp.275-290, 1992. ,
DOI : 10.1016/0045-7825(92)90186-N
Iterative multiscale finite-volume method, Journal of Computational Physics, vol.227, issue.19, pp.8604-8621, 2008. ,
DOI : 10.1016/j.jcp.2008.06.013
A Multiscale Finite Element Method for Elliptic Problems in Composite Materials and Porous Media, Journal of Computational Physics, vol.134, issue.1, pp.169-189, 1997. ,
DOI : 10.1006/jcph.1997.5682
Multi-scale finite-volume method for elliptic problems in subsurface flow simulation, Journal of Computational Physics, vol.187, issue.1, pp.47-67, 2003. ,
DOI : 10.1016/S0021-9991(03)00075-5
Generalized p-FEM in homogenization, Numerische Mathematik, vol.86, issue.2, pp.319-375, 2000. ,
DOI : 10.1007/PL00005409
Generalized FEM for Homogenization Problems, ch. Generalized FEM for Homogenization Problems, pp.197-238, 2002. ,
DOI : 10.1007/978-3-642-56205-1_4
construction de la base locale (? l K ) 1?l?n, p.119 ,
On the use of a mixed multiscale finite element method for greater flexibility and increased speed or improved accuracy in reservoir simulation, Multiscale Modeling & Simulation, vol.2, issue.3, pp.421-439, 2004. ,
Mixed multiscale finite element methods using limited global information, Multiscale Modeling & Simulation, vol.7, issue.2, pp.655-676, 2008. ,
Multiscale discontinuous Galerkin methods for elliptic problems with multiple scales Multiscale Methods in Science and Engineering, Lecture Notes in Computational Science and Engineering, vol.44, pp.1-20, 2005. ,
Mixed multiscale finite elements and streamline methods for reservoir simulation of large geomodels, Advances in Water Resources, vol.28, issue.3, pp.257-271, 2005. ,
Une méthode multi-échelle couplée Volumes et Éléments finis Application aux matériaux cimentaires, 2008. ,
Application of a coupled FV/FE multiscale method to cement media. Networks and Heterogeneous Media, pp.603-615 ,
A posteriori error analysis of the heterogeneous multiscale method for homogenization problems, Comptes Rendus Mathematique, vol.347, pp.17-18, 2009. ,
Heterogeneous multiscale FEM for diffusion problems on rough surfaces, Multiscale Modeling & Simulation, vol.3, issue.1, pp.195-220, 2005. ,
Maquette solveur volumes finis multi-physique. Rapport technique SFME, pp.7-12, 2007. ,
Chaîne de calcul pour la dégradation sous eau des bétons : méthodologie, outil et illustration. Rapport technique SFME, pp.7-13, 2007. ,
Argile -Synthèse : Évaluation de la faisabilité du stockage géologique en formation argileuse. Numéro 266B dans Les Rapports, 2005. ,
Recherches de l'Andra sur le stockage géologique des déchets radioactifs à haute activité et à vie longue : Résultats et perspectives, Numéro 265 dans Les Rapports. Andra, 2005. ,
Matières et déchets radioactifs Loi de programme du 28 juin 2006 : texte consolidé par l'Andra. Numéro 305C dans Les Dossiers, 2009. ,
Unified analysis of discontinuous galerkin methods for elliptic problems, SIAM Journal on Numerical Analysis, vol.39, issue.5, pp.1749-1779, 2002. ,
Nonconforming elements in the finite element method with penalty, SIAM Journal on Numerical Analysis, vol.10, issue.5, pp.863-875, 1973. ,
Survey of meshless and generalized finite element methods : A unified approach, Acta Numerica, tome 12, pp.10-1017, 2003. ,
Special finite element methods for a class of second order elliptic problems with rough coefficients, SIAM Journal on Numerical Analysis, vol.31, issue.4, pp.945-981, 1994. ,
Homogenization : Averaging Processes in Periodic Media, Mathematics and its Applications, tome 36, 1989. ,
A hierarchical O(N log N) force-calculation algorithm, Nature, vol.324, pp.446-495, 1986. ,
Numerical and analytical effective elastic properties of degraded cement pastes, Cement and Concrete Research, vol.39, issue.10, pp.902-912, 2009. ,
A highorder accurate discontinuous finite element method for inviscid and viscous turbomachinery flows, 2nd European Conference on Turbomachinery Fluid Dynamics and Thermodynamics Technologisch Instituut, pp.99-108, 1997. ,
A discontinuous hp finite element method for convection?diffusion problems, Computer Methods in Applied Mechanics and Engineering, vol.175, issue.3-4, pp.311-341, 1999. ,
Modélisation de la relation entre microstructure et diffusivité effective des pâtes de ciment à partir d'une méthode numérique 3d. Rapport technique DPC, 2006. ,
Simulation platform for nuclear waste storages and disposal, European Nuclear Features, vol.4, pp.13-14, 2005. ,
Asymptotic analysis for periodic structures, 1978. ,
The Andra Couplex 1 test case : Comparisons between finite-element, mixed hybrid finite element and finite volume element discretizations, Computational Geosciences, vol.8, issue.2, pp.187-201, 2004. ,
Estimation des paramètres de transport d'un milieu poreux, approche par état adjoint. Rapport technique RT, pp.2-018, 2002. ,
Paramétrisation automatique des coeffficients de transport d'un milieu poreux, approche par état adjoint. Rapport technique RT, pp.3-5, 2003. ,
Modelling of the transition zone porosity. Cement and concrete research, pp.741-751, 1995. ,
Analyse fonctionnelle : Théorie et applications Mixed and hybrid finite element methods, Sciences Sup. Dunod, 1991. ,
Discontinuous finite elements for diffusion problems ,
Discontinuous Galerkin approximations for elliptic problems, Numerical Methods for Partial Differential Equations, vol.16, issue.4, pp.365-378, 2000. ,
Analysis of a multiscale discontinuous galerkin method for convection-diffusion problems, SIAM Journal on Numerical Analysis, vol.44, issue.4, pp.1420-1440, 2006. ,
The ancient Egyptian pyramids ? concrete or rock, Concrete International, vol.13, issue.8, pp.28-30, 1991. ,
Dispositif expérimental BEETI : démarche d'identification d'une loi de dispersivité, interprétation des mesures dichromatiques X et conception d'un système d'étalonnage. Rapport technique SFME, pp.7-018, 2007. ,
Approximate and incomplete factorizations . S.A. Keyes D et V. Venkatakrishnan (rédacteurs), Parallel Numerical Algorithms, ICASE/LaRC Interdisciplinary Series in Science and Engineering, issue.11, pp.167-202, 1997. ,
The multiscale finite element method with nonconforming elements for elliptic homogenization problems, Multiscale Modeling & Simulation, vol.7, issue.2, pp.517-538, 2008. ,
A mixed multiscale finite element method for elliptic problems with oscillating coefficients, Mathematics of Computation, vol.72, issue.242, pp.541-576, 2003. ,
Chaîne de calcul pour la dégradation sous eau des bétons (ChaCalBe) : Application du démonstrateur au calcul de coefficients de diffusion pour un VER matériau cimentaire et validation sous SALOME. Rapport technique SFME, 2010. ,
An introduction to Homogenization, 1999. ,
Analyse de sensibilité et estimation de paramètres de transport pour une équation de diffusion, approche par état adjoint, 2004. ,
The local discontinuous Galerkin method for time-dependent convection-diffusion systems, SIAM Journal on Numerical Analysis, vol.35, issue.6, pp.2440-2463, 1998. ,
The effect of two types of C-S-H on the elasticity of cement-based materials : Results from nanoindentation and micromechanical modeling, Cement and Concrete Research, vol.34, issue.103, pp.67-80, 2004. ,
Quantitative Hydreogeology : Groundwater Hydrology for Engineers, 1986. ,
Interior penalty procedures for elliptic and parabolic Galerkin methods. R. Glowinski et J. Lions (rédacteurs) Computing Methods in Applied Sciences, Lecture Notes in Physics, vol.58, pp.207-21610, 1976. ,
Modélisation du transport diffusif dans les bétons. synthèse des travaux de modélisation par l'approche "Microtrans" en milieu saturé. Rapport technique SCCME, pp.7-762, 2008. ,
Neumann algorithm for a mortar discretization of elliptic problems with discontinuous coefficients, Numerische Mathematik, vol.99, pp.645-656, 2005. ,
The heterogeneous multiscale methods, Communications in Mathematical Sciences, vol.1, issue.1, pp.87-132, 2003. ,
Analysis of the heterogeneous multiscale method for elliptic homogenization problems, Journal of the American Mathematical Society, vol.18, issue.1, pp.121-156, 2005. ,
Adaptive damage simulation of concrete using heterogeneous multiscale models, Journal of Algorithms & Computational Technology, vol.2, issue.2, pp.275-297, 2008. ,
Online measurement of the grain size distribution of sand 0-4 mm used for the production of concrete. Particle and Particle Systems Characterization, pp.85-88, 1984. ,
Convergence of a nonconforming multiscale finite element method, SIAM Journal of Numerical Analysis, vol.37, issue.3, pp.888-910, 2000. ,
Multiscale finite element methods for nonlinear problems and their applications, Communications in Mathematical Sciences, vol.2, issue.4, pp.553-589, 2004. ,
Multiscale finite element for problems with highly oscillatory coefficients, Numerische Mathematik, vol.90, pp.459-486, 2002. ,
Theory and practice of finite elements, Applied mathematical sciences, tome 159, 2004. ,
Finite volume methods Lions (rédacteurs), Solution of Equation in R n Handbook of Numerical Analysis, Techniques of Scientific Computing, pp.713-102010, 2000. ,
(rédacteurs) Finite Volumes for Complex Applications V, Problems & Perspectives, 2008. ,
The History of Paris, from the earliest period to the present day 3D experimental investigation of the microstructure of cement pastes using synchrotron X-ray microtomography (µCT), Cement and Concrete Research, vol.37, issue.3, pp.360-368, 2007. ,
Elliptic Partial Differential Equations of Second Order, Classics in Mathematics, vol.13, 1983. ,
Modeling the linear elastic properties of portland cement paste, Cement and Concrete Research, vol.35, issue.10, 1948. ,
Iterative multiscale finite-volume method, Journal of Computational Physics, vol.227, issue.19, pp.8604-8621, 2008. ,
Multiscale finite-volume method for parabolic problems arising from compressible multiphase flow in porous media, Journal of Computational Physics, vol.228, issue.14, pp.5129-5147, 2009. ,
A parallel algebraic multigrid solver and preconditioner, Applied Numerical Mathematics, vol.41, issue.101, pp.155-177, 2002. ,
Benchmark on discretization schemes for anisotropic diffusion problems on general grids, 2008. ,
An arbitrary Lagrangian-Eulerian computing method for all flow speeds, Journal of Computational Physics, vol.14, issue.374, pp.227-253, 1974. ,
Removing the cell resonance error in the multiscale finite element method via a Petrov-Galerkin formulation, Communications in Mathematical Sciences, vol.2, issue.2, pp.185-205, 2004. ,
A multiscale finite element method for elliptic problems in composite materials and porous media, Journal of computational physics, vol.134, issue.1, pp.169-189, 1997. ,
Convergence of a multiscale finite element method for elliptic problems with rapidly oscillating coefficients, Mathematics of Computation, vol.68, issue.227, pp.913-943, 1999. ,
A multiscale discontinuous galerkin method with the computational structure of a continuous galerkin method, Computer Methods in Applied Mechanics and Engineering, vol.195, pp.19-22, 2006. ,
Multiscale galerkin method using interpolation wavelets for two-dimensional elliptic problems in general domains Multiscale finite-volume method for elliptic problems in subsurface flow simulation, International Journal for Numerical Methods in Engineering Journal of Computational Physics, vol.59, issue.187103, pp.225-253, 2003. ,
Adaptive multiscale finite-volume method for multiphase flow and transport in porous media, Multiscale Modeling & Simulation, vol.3, issue.1, pp.50-64, 2005. ,
Adaptive fully implicit multiscale finite-volume method for multi-phase flow and transport in heterogeneous porous media, Journal of Computational Physics, vol.217, issue.2, pp.627-641, 2006. ,
Modeling complex wells with the multi-scale finitevolume method, Journal of Computational Physics, vol.228, issue.3, pp.687-702, 2009. ,
Extraction of effective cement paste diffusivities from x-ray microtomography scans. Transport in Porous Media, pp.371-388 ,
Systèmes multi-échelles : Modélisation et simulation, Mathématique et Applications, tome 47, 2005. ,
DOI : 10.1007/3-540-37671-2
Domain decomposition methods in computational mechanics . Computational mechanics advances, pp.121-220, 1994. ,
Multiscale finite-volume formulation for multiphase flow in porous media : black oil formulation of compressible, three-phase flow with gravity, Computational Geosciences, vol.12, pp.351-366, 2008. ,
Towards an intrinsic relationship between diffusion coefficients and microscopic features of cements ? Scientific Basis for Nuclear Waste Managment XXIV, Materials Research Society Symposium Proceedings, tome 663, pp.81-88, 2000. ,
X-ray microtomographic studies of pore structure and permeability in portland cement concrete, Materials and Structures, vol.39, pp.611-62010, 2006. ,
Multiscale finite-volume method for compressible multiphase flow in porous media, Journal of Computational Physics, vol.216, issue.2, pp.616-636, 2006. ,
Multiscale finite-volume method for density-driven flow in porous media, Computational Geosciences, vol.12, pp.337-350, 2008. ,
Nonconforming mortar element methods : Application to spectral discretizations. Domain decomposition methods, Proceedings of the Second International Symposium, pp.392-418, 1989. ,
Generalized p-FEM in homogenization, Numerische Mathematik, vol.86, issue.2, pp.319-375, 2000. ,
Two-scale fem for homogenization problems, Mathematical Modelling and Numerical Analysis, vol.36, issue.4, pp.537-572, 2002. ,
Analysis of the heterogeneous multiscale method for parabolic homogenization problems, Mathematics of Computation, vol.76, issue.257, pp.153-177, 2007. ,
Topics in the Mathematical Modelling of Composite Materials, Progress in Nonlinear Differential Equations and Their Applications , tome 31, chapitre H-Convergence, pp.21-44, 1997. ,
Integrated, multidiscipline CAE solution ,
Liants hydrauliques -Ciments courants -Composition, spécifications et critères de conformité. 1994. [149] NX I-deas MasterFEM ,
Homogenization of parabolic equations with a continuum of space and time scales, SIAM Journal on Numerical Analysis, vol.46, pp.1-36, 2007. ,
Metric-based upscaling, Communications on Pure and Applied Mathematics, vol.60, issue.5, pp.675-723, 2007. ,
Extensible Toolkit for Scientific Computation ,
A mixed finite element method for 2-nd order elliptic problems. I. Galligani et E. Magenes (rédacteurs) Mathematical Aspects of Finite Element Methods, Lecture Notes in Mathematics, vol.606, pp.292-31510, 1977. ,
Triangular mesh methods for the neutron transport equation. Rapport technique LA-UR-73-479, 1973. ,
Dossier de synthèse sur le comportement à long terme des colis : dossier de référence phénoménologique "colis béton, 2004. ,
GMRES : A generalized minimal residual algorithm for solving nonsymmetric linear systems, SIAM Journal on Scientific and Statistical Computing, vol.7, issue.3, pp.856-869, 1986. ,
A study of the interfacial region between cement paste and aggregate in concrete, Bonding in Cementitious Composites, MRS Proceedings, tome 114, 1988. ,
An analysis of the finite element method. Prentice- Hall Series in Automatic Computation, 1973. ,
Well modeling in the multiscale finite volume method for subsurface flow simulation The local microscale problem in the multiscale modeling of strongly heterogeneous media : Effects of boundary conditions and cell size, Multiscale Modeling & Simulation Journal of Computational Physics, vol.5, issue.2222, pp.900-917, 2007. ,
Modification of the interfacial zone between aggregate and cement paste, Bonding in Cementitious Composites, MRS Proceedings, tome 114, 1988. ,
Operator-based multiscale method for compressible flow, SPE Journal, vol.13, issue.3, pp.267-273, 2008. ,