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Cited article:
Daniele A. Di Pietro
ESAIM: M2AN, 46 1 (2012) 111-144
Published online: 2011-08-24
This article has been cited by the following article(s):
Homological- and analytical-preserving serendipity framework for polytopal complexes, with application to the DDR method
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DOI: 10.1051/m2an/2022067
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Convergence of nonlinear finite volume schemes for heterogeneous anisotropic diffusion on general meshes
Martin Schneider, Léo Agélas, Guillaume Enchéry and Bernd Flemisch
Journal of Computational Physics 351 80 (2017)
DOI: 10.1016/j.jcp.2017.09.003
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ArcFVDSL, a DSEL Combined to HARTS, a Runtime System Layer to Implement Efficient Numerical Methods to Solve Diffusive Problems on New Heterogeneous Hardware Architecture
Jean-Marc Gratien and S. de Chaisemartin
Oil & Gas Science and Technology – Revue d’IFP Energies nouvelles 72 (2) 12 (2017)
DOI: 10.2516/ogst/2017007
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A domain-specific embedded language in C++ for lowest-order discretizations of diffusive problems on general meshes
Daniele A. Di Pietro, Jean-Marc Gratien and Christophe Prud’homme
BIT Numerical Mathematics 53 (1) 111 (2013)
DOI: 10.1007/s10543-012-0403-3
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Building Bridges: Connections and Challenges in Modern Approaches to Numerical Partial Differential Equations
Daniele A. Di Pietro, Alexandre Ern and Simon Lemaire
Lecture Notes in Computational Science and Engineering, Building Bridges: Connections and Challenges in Modern Approaches to Numerical Partial Differential Equations 114 205 (2016)
DOI: 10.1007/978-3-319-41640-3_7
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A virtual volume method for heterogeneous and anisotropic diffusion-reaction problems on general meshes
Julien Coatléven
ESAIM: Mathematical Modelling and Numerical Analysis 51 (3) 797 (2017)
DOI: 10.1051/m2an/2016036
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On the conservativity of cell-centered Galerkin methods
Daniele A. Di Pietro
Comptes Rendus Mathematique 351 (3-4) 155 (2013)
DOI: 10.1016/j.crma.2013.03.001
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Arbitrary-order mixed methods for heterogeneous anisotropic diffusion on general meshes
Daniele A. Di Pietro and Alexandre Ern
IMA Journal of Numerical Analysis 37 (1) 40 (2017)
DOI: 10.1093/imanum/drw003
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A Review of Recent Advances in Discretization Methods,a PosterioriError Analysis, and Adaptive Algorithms for Numerical Modeling in Geosciences
Daniele A. Di Pietro and Martin Vohralík
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DOI: 10.2516/ogst/2013158
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An extension of the Crouzeix–Raviart space to general meshes with application to quasi-incompressible linear elasticity and Stokes flow
Daniele Di Pietro and Simon Lemaire
Mathematics of Computation 84 (291) 1 (2014)
DOI: 10.1090/S0025-5718-2014-02861-5
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Finite volume schemes for diffusion equations: Introduction to and review of modern methods
Jerome Droniou
Mathematical Models and Methods in Applied Sciences 24 (08) 1575 (2014)
DOI: 10.1142/S0218202514400041
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Numerical Methods for PDEs
Daniele Antonio Di Pietro and Roberta Tittarelli
SEMA SIMAI Springer Series, Numerical Methods for PDEs 15 75 (2018)
DOI: 10.1007/978-3-319-94676-4_4
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A Hybrid High-Order method for the incompressible Navier–Stokes equations based on Temam's device
Lorenzo Botti, Daniele A. Di Pietro and Jérôme Droniou
Journal of Computational Physics 376 786 (2019)
DOI: 10.1016/j.jcp.2018.10.014
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A variational discrete element method for quasistatic and dynamic elastoplasticity
Frédéric Marazzato, Alexandre Ern and Laurent Monasse
International Journal for Numerical Methods in Engineering 121 (23) 5295 (2020)
DOI: 10.1002/nme.6460
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A discontinuous Galerkin method for the mono-energetic Fokker–Planck equation based on a spherical interior penalty formulation
Aldo Hennink and Danny Lathouwers
Journal of Computational and Applied Mathematics 330 253 (2018)
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J.-M. Gratien
28 157 (2013)
DOI: 10.1007/978-1-4614-5055-9_10
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Unified formulation and analysis of mixed and primal discontinuous skeletal methods on polytopal meshes
Daniele Boffi and Daniele A. Di Pietro
ESAIM: Mathematical Modelling and Numerical Analysis 52 (1) 1 (2018)
DOI: 10.1051/m2an/2017036
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Comparison of finite-volume schemes for diffusion problems
Martin Schneider, Dennis Gläser, Bernd Flemisch, et al.
Oil & Gas Science and Technology – Revue d’IFP Energies nouvelles 73 82 (2018)
DOI: 10.2516/ogst/2018064
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A variational discrete element method for the computation of Cosserat elasticity
Frédéric Marazzato
Computational Mechanics 68 (5) 1097 (2021)
DOI: 10.1007/s00466-021-02060-y
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Semi hybrid method for heterogeneous and anisotropic diffusion problems on general meshes
Julien Coatléven
ESAIM: Mathematical Modelling and Numerical Analysis 49 (4) 1063 (2015)
DOI: 10.1051/m2an/2015005
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Quasi-static crack propagation with a Griffith criterion using a variational discrete element method
Frédéric Marazzato, Alexandre Ern and Laurent Monasse
Computational Mechanics 69 (2) 527 (2022)
DOI: 10.1007/s00466-021-02102-5
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