1 Published articles ? Basic concepts to design a DSL for parallel finite volume applications, Christophe Prud'homme Proceeding POOSC '09 Proceedings of the 8th workshop on Parallel/High-Performance Object-Oriented Scientific Computing ACM, 2009. ,
Lowest order methods for diffusive problems on general meshes: A unified approach to definition and implementation, Sixth International Symposium on Finite Volumes for Complex Applications ,
DOI : 10.1007/978-3-642-20671-9_84
URL : https://hal.archives-ouvertes.fr/hal-00562500
A Domain Specific Embedded Language in C++ for lowest-order methods for diffusive problem on general meshes, homme, BIT Numerical Mathematics, vol.53, issue.1, pp.111-152, 2013. ,
URL : https://hal.archives-ouvertes.fr/tel-00926232
On the Use of a Mixed Multiscale Finite Element Method for GreaterFlexibility and Increased Speed or Improved Accuracy in Reservoir Simulation, Multiscale Modeling & Simulation, vol.2, issue.3, pp.421-439, 2004. ,
DOI : 10.1137/030600655
Multiscale mixed/mimetic methods on corner-point grids, Computational Geosciences, vol.3, issue.1, pp.297-315, 2008. ,
DOI : 10.1007/s10596-007-9072-8
Discretization on Non-Orthogonal, Curvilinear Grids for Multi-Phase Flow, ECMOR IV, 4th European Conference on the Mathematics of Oil Recovery, 1994. ,
DOI : 10.3997/2214-4609.201411179
Discretization on Non-Orthogonal, Quadrilateral Grids for Inhomogeneous, Anisotropic Media, Journal of Computational Physics, vol.127, issue.1, pp.2-14, 1996. ,
DOI : 10.1006/jcph.1996.0154
Discretization on Unstructured Grids for Inhomogeneous, Anisotropic Media. Part I: Derivation of the Methods, SIAM Journal on Scientific Computing, vol.19, issue.5, pp.1700-1716, 1998. ,
DOI : 10.1137/S1064827595293582
Discretization on Unstructured Grids For Inhomogeneous, Anisotropic Media. Part II: Discussion And Numerical Results, SIAM Journal on Scientific Computing, vol.19, issue.5, pp.1717-1736, 1998. ,
DOI : 10.1137/S1064827595293594
A compact multipoint flux approximation method with improved robustness, Numerical Methods for Partial Differential Equations, vol.3, issue.5, pp.1329-1360, 2008. ,
DOI : 10.1002/num.20320
A compact multipoint flux approximation method with improved robustness, Numerical Methods for Partial Differential Equations, vol.3, issue.5, pp.1329-1360, 2008. ,
DOI : 10.1002/num.20320
C++ template metaprogramming : Concepts, tools, and techniques from boost and beyond. C++ in Depth Series, 2004. ,
The G method for heterogeneous anisotropic diffusion on general meshes, ESAIM: Mathematical Modelling and Numerical Analysis, vol.44, issue.4, pp.597-625, 2010. ,
DOI : 10.1051/m2an/2010021
The G method for heterogeneous anisotropic diffusion on general meshes, ESAIM: Mathematical Modelling and Numerical Analysis, vol.44, issue.4, pp.597-625, 2010. ,
DOI : 10.1051/m2an/2010021
An abstract analysis framework for nonconforming approximations of anisotropic heterogeneous diffusion, 2010. ,
Hatem Ltaief, and Stanimire Tomov. LU Factorization for Accelerator-based Systems, 9th AC- S/IEEE International Conference on Computer Systems and Applications (AICCSA 11), 2011. ,
An Interior Penalty Finite Element Method with Discontinuous Elements, SIAM Journal on Numerical Analysis, vol.19, issue.4, pp.742-760, 1982. ,
DOI : 10.1137/0719052
Expression Templates and Forward Mode Automatic Differentiation, Computer and information Science, vol.37, pp.311-315, 2001. ,
DOI : 10.1007/978-1-4613-0075-5_37
Scheduling Tasks over Multicore machines enhanced with Accelerators: a Runtime System's Perspective, 2011. ,
StarPU: A Unified Platform for Task Scheduling on Heterogeneous Multicore Architectures. Concurrency and Computation: Practice and Experience, Special Issue: Euro-Par, pp.187-198, 2009. ,
URL : https://hal.archives-ouvertes.fr/inria-00384363
On the flexibility of agglomeration based physical space discontinuous Galerkin discretizations, Journal of Computational Physics, vol.231, issue.1, pp.45-65, 2012. ,
DOI : 10.1016/j.jcp.2011.08.018
URL : https://hal.archives-ouvertes.fr/hal-00562219
Efficient sparse matrix-vector multiplication on CUDA, 2008. ,
Implementing sparse matrix-vector multiplication on throughput-oriented processors, Proceedings of the Conference on High Performance Computing Networking, Storage and Analysis, SC '09, pp.1-11, 2009. ,
DOI : 10.1145/1654059.1654078
Convergence of the Mimetic Finite Difference Method for Diffusion Problems on Polyhedral Meshes, SIAM Journal on Numerical Analysis, vol.43, issue.5, pp.1872-1896, 2005. ,
DOI : 10.1137/040613950
A FAMILY OF MIMETIC FINITE DIFFERENCE METHODS ON POLYGONAL AND POLYHEDRAL MESHES, Mathematical Models and Methods in Applied Sciences, vol.15, issue.10, pp.1533-1553, 2005. ,
DOI : 10.1142/S0218202505000832
Two families of mixed elements for second order elliptic problems, Numer. Math, vol.47, pp.217-235, 1985. ,
A mixed multiscale finite element method for elliptic problems with oscillating coefficients, Mathematics of Computation, vol.72, issue.242, pp.541-576, 2002. ,
DOI : 10.1090/S0025-5718-02-01441-2
Tenth spe comparative solution project: A comparison of upscaling techniques, SPE Reservoir Simulation Symposium, pp.11-14, 2001. ,
The Finite Element Method for Elliptic Problems, 1978. ,
Basic error estimates for elliptic problems Handbook of Numerical Analysis, volume II: Finite Element Methods, 1991. ,
A domain-specific embedded language in C++ for lowest-order discretizations of diffusive problems on general meshes, BIT Numerical Mathematics, vol.14, issue.2, pp.111-152, 2013. ,
DOI : 10.1007/s10543-012-0403-3
URL : https://hal.archives-ouvertes.fr/hal-00654406
Cell centered Galerkin methods, Comptes Rendus Mathematique, vol.348, issue.1-2, pp.31-34, 2010. ,
DOI : 10.1016/j.crma.2009.11.012
URL : https://hal.archives-ouvertes.fr/hal-00398782
Cell centered Galerkin methods, Comptes Rendus Mathematique, vol.348, issue.1-2, pp.31-34, 2010. ,
DOI : 10.1016/j.crma.2009.11.012
URL : https://hal.archives-ouvertes.fr/hal-00398782
Cell centered Galerkin methods for diffusive problems, ESAIM: Mathematical Modelling and Numerical Analysis, vol.46, issue.1, 2010. ,
DOI : 10.1051/m2an/2011016
URL : https://hal.archives-ouvertes.fr/hal-00511125
A compact cell-centered Galerkin method with subgrid stabilization, Comptes Rendus Mathematique, vol.349, issue.1-2, pp.93-98, 2011. ,
DOI : 10.1016/j.crma.2010.11.017
URL : https://hal.archives-ouvertes.fr/hal-00476222
Cell centered Galerkin methods for diffusive problems, ESAIM: Mathematical Modelling and Numerical Analysis, vol.46, issue.1, pp.111-144, 2012. ,
DOI : 10.1051/m2an/2011016
URL : https://hal.archives-ouvertes.fr/hal-00511125
Mathematical Aspects of Discontinuous Galkerin Methods, Number 69 in Mathématiques & Applications, 2011. ,
Analysis of a discontinuous galerkin method for heterogeneous diffusion problems with low-regularity solutions, Numerical Methods for Partial Differential Equations, vol.41, issue.4, pp.1161-1177, 2012. ,
DOI : 10.1002/num.20675
URL : https://hal.archives-ouvertes.fr/hal-00514387
Discontinuous Galerkin Methods for Anisotropic Semidefinite Diffusion with Advection, SIAM Journal on Numerical Analysis, vol.46, issue.2, pp.805-831, 2008. ,
DOI : 10.1137/060676106
Lowest order methods for diffusive problems on general meshes: A unified approach to definition and implementation, FVCA6 proceedings, 2011. ,
DOI : 10.1007/978-3-642-20671-9_84
URL : https://hal.archives-ouvertes.fr/hal-00562500
A mixed finite volume scheme for anisotropic diffusion problems on any grid, Numerische Mathematik, vol.59, issue.1, pp.35-71, 2006. ,
DOI : 10.1007/s00211-006-0034-1
URL : https://hal.archives-ouvertes.fr/hal-00005565
A UNIFIED APPROACH TO MIMETIC FINITE DIFFERENCE, HYBRID FINITE VOLUME AND MIXED FINITE VOLUME METHODS, Mathematical Models and Methods in Applied Sciences, vol.20, issue.02, pp.265-295, 2010. ,
DOI : 10.1142/S0218202510004222
URL : https://hal.archives-ouvertes.fr/hal-00346077
A Flux Continuous Scheme for the Full Tensor Pressure Equation, ECMOR IV, 4th European Conference on the Mathematics of Oil Recovery, 1994. ,
DOI : 10.3997/2214-4609.201411178
Finite volume discretization with imposed flux continuity for the general tensor pressure equation, Computational Geosciences, vol.2, issue.4, pp.259-290, 1998. ,
DOI : 10.1023/A:1011510505406
Convergence of a nonconforming multiscale finite element method, 2000. ,
Numerical solutions of 2-d steady incompressible driven cavity flow at high reynolds numbers, Int. J. Numer. Meth. Fluids, p.48, 2005. ,
Discretization of heterogeneous and anisotropic diffusion problems on general nonconforming meshes SUSHI: a scheme using stabilization and hybrid interfaces, IMA Journal of Numerical Analysis, vol.30, issue.4, 2010. ,
DOI : 10.1093/imanum/drn084
Discretization of heterogeneous and anisotropic diffusion problems on general nonconforming meshes SUSHI: a scheme using stabilization and hybrid interfaces, IMA Journal of Numerical Analysis, vol.30, issue.4, pp.1009-1043, 2010. ,
DOI : 10.1093/imanum/drn084
3D Benchmark on Discretization Schemes for Anisotropic Diffusion Problems on General Grids, Finite Volumes for Complex Applications VI Problems & Perspectives, pp.95-130, 2011. ,
DOI : 10.1007/978-3-642-20671-9_89
URL : https://hal.archives-ouvertes.fr/hal-00580549
Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities, International Journal for Numerical Methods in Engineering, vol.69, issue.4, pp.791309-1331, 2009. ,
DOI : 10.1002/nme.2579
Implementing a Domain Specific Embedded Language for lowest-order variational methods with Boost Proto, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-00788281
The Arcane development framework, Proceedings of the 8th workshop on Parallel/High-Performance Object-Oriented Scientific Computing, POOSC '09, pp.1-4, 2009. ,
DOI : 10.1145/1595655.1595659
Benchmark on discretization schemes for anisotropic diffusion problems on general grids, Finite Volumes for Complex Applications V, pp.659-692 ,
URL : https://hal.archives-ouvertes.fr/hal-00429843
An Overview of Trilinos, 2003. ,
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
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. ,
DOI : 10.1090/S0025-5718-99-01077-7
A multiscale finite element method for elliptic problems in composite materials and porous media, J. Comput. Phys, vol.134, issue.1, pp.169-189, 1997. ,
The variational multiscale method -a paradigm for computational mechanics, Comput. Methods Appl. Mech. Eng, vol.166, pp.3-24, 1998. ,
Adaptive fully implicit multi-scale 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. ,
DOI : 10.1016/j.jcp.2006.01.028
A comparison of multiscale methods for elliptic problems in porous media flow, Computational Geosciences, vol.11, issue.4, pp.377-398, 2008. ,
DOI : 10.1007/s10596-007-9074-6
Laminar flow behind a two-dimensional grid, Proc. Camb, pp.58-62, 1948. ,
DOI : 10.1098/rspa.1933.0188
Unified Embedded Parallel Finite Element Computations via Software-Based Fr??chet Differentiation, SIAM Journal on Scientific Computing, vol.32, issue.6, pp.3323-3351, 2010. ,
DOI : 10.1137/09076920X
boost::proto documentation, 2011. ,
A domain specific embedded language in C++ for automatic differentiation, projection, integration and variational formulations, Scientific Programming, pp.81-110, 2006. ,
URL : https://hal.archives-ouvertes.fr/hal-00319980
Life: Overview of a unified c++ implementation of the finite and spectral element methods in 1d, 2d and 3d. In Workshop On State-Of-The-Art In Scientific And Parallel Computing, Lecture Notes in Computer Science, p.10, 2007. ,
URL : https://hal.archives-ouvertes.fr/hal-00319983
Feel++: A computational framework for Galerkin methods and advanced numerical methods, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-00662868
Feel++: Finite Element Embedded Language in C++. Free Software available at http://www.feelpp.org. Contributions from A ,
A mixed finite element method for 2nd order elliptic problems. in: Mathematical aspects of finite element methods, 1977. ,
Iterative methods for sparse linear systems ,
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Removing the cell resonance error in multiscale finite element method via a petrov galerkine formulation, COMM. MATH. SCI, vol.2, issue.2, pp.185-205, 2004. ,
A comparison of multiscale methods for elliptic problems in porous media flow, Computational Geosciences, vol.11, issue.4, pp.377-398, 2008. ,
DOI : 10.1007/s10596-007-9074-6
Using c++ template metaprograms, C++ report, vol.7, issue.4, pp.36-43, 1995. ,