EDP Sciences logo
Subscriber Authentication Point
Search
Menu
All issues ESAIM: M2AN, 48 2 (2014) 553-581 Article references

Articles citing this article

The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).

Cited article:

Compact cell-based Compatible Discrete Operator diffusion scheme on Cartesian AMR mesh

A. Vergnaud, A. Lemoine and J. Breil
Journal of Computational Physics 533 113982 (2025)
https://doi.org/10.1016/j.jcp.2025.113982

Fast linear solvers for incompressible CFD simulations with compatible discrete operator schemes

Yongseok Jang, Jérôme Bonelle, Carola Kruse, Frank Hülsemann and Ulrich Rüde
Computational and Applied Mathematics 44 (2) (2025)
https://doi.org/10.1007/s40314-024-03003-y

Uniform Poincaré inequalities for the Discrete de Rham complex on general domains

Daniele A. Di Pietro and Marien-Lorenzo Hanot
Results in Applied Mathematics 23 100496 (2024)
https://doi.org/10.1016/j.rinam.2024.100496

Directional enrichment functions for finite element solutions of transient anisotropic diffusion

Abderrahim Bahssini, Nouh Izem, M. Shadi Mohamed and Mohammed Seaid
Computers & Mathematics with Applications 163 42 (2024)
https://doi.org/10.1016/j.camwa.2024.03.016

Robust Scheme on 3D Hybrid Meshes with Non-conformity for Maxwell’s Equations in Time Domain

Valentin Ritzenthaler, Pierre Cantin and Xavier Ferrieres
Journal of Scientific Computing 99 (3) (2024)
https://doi.org/10.1007/s10915-024-02533-1

A local projection stabilised HHO method for the Oseen problem

Gouranga Mallik, Rahul Biswas and Thirupathi Gudi
Computers & Mathematics with Applications 176 202 (2024)
https://doi.org/10.1016/j.camwa.2024.10.030

A Hybrid High-Order Method for a Class of Strongly Nonlinear Elliptic Boundary Value Problems

Gouranga Mallik and Thirupathi Gudi
Journal of Scientific Computing 98 (1) (2024)
https://doi.org/10.1007/s10915-023-02390-4

An Arbitrary-Order Discrete de Rham Complex on Polyhedral Meshes: Exactness, Poincaré Inequalities, and Consistency

Daniele A. Di Pietro and Jérôme Droniou
Foundations of Computational Mathematics 23 (1) 85 (2023)
https://doi.org/10.1007/s10208-021-09542-8

Algebraic Multigrid Preconditioner for Statically Condensed Systems Arising from Lowest-Order Hybrid Discretizations

Daniele A. Di Pietro, Frank Hülsemann, Pierre Matalon, Paul Mycek and Ulrich Rüde
SIAM Journal on Scientific Computing 45 (3) S329 (2023)
https://doi.org/10.1137/21M1429849

Artificial Compressibility Methods for the Incompressible Navier–Stokes Equations Using Lowest-Order Face-Based Schemes on Polytopal Meshes

Riccardo Milani, Jérôme Bonelle and Alexandre Ern
Computational Methods in Applied Mathematics 22 (1) 133 (2022)
https://doi.org/10.1515/cmam-2021-0089

Virtual elements for sound propagation in complex poroelastic media

Abhilash Sreekumar, Savvas P. Triantafyllou and Fabien Chevillotte
Computational Mechanics 69 (1) 347 (2022)
https://doi.org/10.1007/s00466-021-02078-2

A Hybrid High-Order Method for Quasilinear Elliptic Problems of Nonmonotone Type

Thirupathi Gudi, Gouranga Mallik and Tamal Pramanick
SIAM Journal on Numerical Analysis 60 (4) 2318 (2022)
https://doi.org/10.1137/21M1412050

The role of the dual grid in low-order compatible numerical schemes on general meshes

Silvano Pitassi, Riccardo Ghiloni, Francesco Trevisan and Ruben Specogna
Journal of Computational Physics 436 110285 (2021)
https://doi.org/10.1016/j.jcp.2021.110285

Explicit geometric construction of sparse inverse mass matrices for arbitrary tetrahedral grids

Silvano Pitassi, Francesco Trevisan and Ruben Specogna
Computer Methods in Applied Mechanics and Engineering 377 113699 (2021)
https://doi.org/10.1016/j.cma.2021.113699

Multiscale VEM for the Biot consolidation analysis of complex and highly heterogeneous domains

Abhilash Sreekumar, Savvas P. Triantafyllou, François-Xavier Bécot and Fabien Chevillotte
Computer Methods in Applied Mechanics and Engineering 375 113543 (2021)
https://doi.org/10.1016/j.cma.2020.113543

Trefftz Finite Elements on Curvilinear Polygons

Akash Anand, Jeffrey S. Ovall, Samuel E. Reynolds and Steffen Weißer
SIAM Journal on Scientific Computing 42 (2) A1289 (2020)
https://doi.org/10.1137/19M1294046

Analysis of the decoupled and positivity-preserving DDFV schemes for diffusion problems on polygonal meshes

Qiannan Dong, Shuai Su and Jiming Wu
Advances in Computational Mathematics 46 (2) (2020)
https://doi.org/10.1007/s10444-020-09748-4

A multiscale virtual element method for the analysis of heterogeneous media

Abhilash Sreekumar, Savvas P. Triantafyllou, François‐Xavier Bécot and Fabien Chevillotte
International Journal for Numerical Methods in Engineering 121 (8) 1791 (2020)
https://doi.org/10.1002/nme.6287

Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples

Jérôme Bonelle, Alexandre Ern and Riccardo Milani
Springer Proceedings in Mathematics & Statistics, Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples 323 93 (2020)
https://doi.org/10.1007/978-3-030-43651-3_6

Hybrid high-order discretizations combined with Nitsche’s method for Dirichlet and Signorini boundary conditions

Karol L Cascavita, Franz Chouly and Alexandre Ern
IMA Journal of Numerical Analysis 40 (4) 2189 (2020)
https://doi.org/10.1093/imanum/drz038

Fully discrete polynomial de Rham sequences of arbitrary degree on polygons and polyhedra

Daniele A. Di Pietro, Jérôme Droniou and Francesca Rapetti
Mathematical Models and Methods in Applied Sciences 30 (09) 1809 (2020)
https://doi.org/10.1142/S0218202520500372

Anisotropic Error Estimates of the Linear Nonconforming Virtual Element Methods

Shuhao Cao and Long Chen
SIAM Journal on Numerical Analysis 57 (3) 1058 (2019)
https://doi.org/10.1137/18M1196455

A higher‐order equilibrium finite element method

K. Olesen, B. Gervang, J. N. Reddy and M. Gerritsma
International Journal for Numerical Methods in Engineering 114 (12) 1262 (2018)
https://doi.org/10.1002/nme.5785

A Nyström-based finite element method on polygonal elements

Akash Anand, Jeffrey S. Ovall and Steffen Weißer
Computers & Mathematics with Applications 75 (11) 3971 (2018)
https://doi.org/10.1016/j.camwa.2018.03.007

A simple a posteriori estimate on general polytopal meshes with applications to complex porous media flows

Martin Vohralík and Soleiman Yousef
Computer Methods in Applied Mechanics and Engineering 331 728 (2018)
https://doi.org/10.1016/j.cma.2017.11.027

Improved $L^2$ estimate for gradient schemes and super-convergence of the TPFA finite volume scheme

Jérôme Droniou and Neela Nataraj
IMA Journal of Numerical Analysis 38 (3) 1254 (2018)
https://doi.org/10.1093/imanum/drx028

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)
https://doi.org/10.1051/m2an/2017036

New polyhedral discretisation methods applied to the Richards equation: CDO schemes in Code_Saturne

Jérôme Bonelle, Yvan Fournier and Charles Moulinec
Computers & Fluids 173 93 (2018)
https://doi.org/10.1016/j.compfluid.2018.03.026

An edge-based scheme on polyhedral meshes for vector advection-reaction equations

Pierre Cantin and Alexandre Ern
ESAIM: Mathematical Modelling and Numerical Analysis 51 (5) 1561 (2017)
https://doi.org/10.1051/m2an/2016075

A mass, energy, enstrophy and vorticity conserving (MEEVC) mimetic spectral element discretization for the 2D incompressible Navier–Stokes equations

A. Palha and M. Gerritsma
Journal of Computational Physics 328 200 (2017)
https://doi.org/10.1016/j.jcp.2016.10.009

A numerical simulation model for multi-scale flow in tight oil reservoirs

Wenchao FANG, Hanqiao JIANG, Junjian LI, et al.
Petroleum Exploration and Development 44 (3) 446 (2017)
https://doi.org/10.1016/S1876-3804(17)30051-4

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)
https://doi.org/10.1093/imanum/drw003

A pyramid scheme for three-dimensional diffusion equations on polyhedral meshes

Shuai Wang, Xudeng Hang and Guangwei Yuan
Journal of Computational Physics 350 590 (2017)
https://doi.org/10.1016/j.jcp.2017.08.060

A stress/displacement Virtual Element method for plane elasticity problems

E. Artioli, S. de Miranda, C. Lovadina and L. Patruno
Computer Methods in Applied Mechanics and Engineering 325 155 (2017)
https://doi.org/10.1016/j.cma.2017.06.036

Bridging the hybrid high-order and hybridizable discontinuous Galerkin methods

Bernardo Cockburn, Daniele A. Di Pietro and Alexandre Ern
ESAIM: Mathematical Modelling and Numerical Analysis 50 (3) 635 (2016)
https://doi.org/10.1051/m2an/2015051

Building Bridges: Connections and Challenges in Modern Approaches to Numerical Partial Differential Equations

Konstantin Lipnikov and Gianmarco Manzini
Lecture Notes in Computational Science and Engineering, Building Bridges: Connections and Challenges in Modern Approaches to Numerical Partial Differential Equations 114 311 (2016)
https://doi.org/10.1007/978-3-319-41640-3_10

A vertex-based scheme on polyhedral meshes for advection–reaction equations with sub-mesh stabilization

Pierre Cantin, Jérôme Bonelle, Erik Burman and Alexandre Ern
Computers & Mathematics with Applications 72 (9) 2057 (2016)
https://doi.org/10.1016/j.camwa.2016.07.038

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)
https://doi.org/10.1007/978-3-319-41640-3_7

Numerical Mathematics and Advanced Applications ENUMATH 2015

Marc Gerritsma, Jeroen Kunnen and Boudewijn de Heij
Lecture Notes in Computational Science and Engineering, Numerical Mathematics and Advanced Applications ENUMATH 2015 112 635 (2016)
https://doi.org/10.1007/978-3-319-39929-4_61

Gradient schemes: Generic tools for the numerical analysis of diffusion equations

Jérome Droniou, Robert Eymard and Raphaèle Herbin
ESAIM: Mathematical Modelling and Numerical Analysis 50 (3) 749 (2016)
https://doi.org/10.1051/m2an/2015079

Geometrically defined basis functions for polyhedral elements with applications to computational electromagnetics

Lorenzo Codecasa, Ruben Specogna and Francesco Trevisan
ESAIM: Mathematical Modelling and Numerical Analysis 50 (3) 677 (2016)
https://doi.org/10.1051/m2an/2015077

Mixed virtual element methods for general second order elliptic problems on polygonal meshes

Lourenço Beirão da Veiga, Franco Brezzi, Luisa Donatella Marini and Alessandro Russo
ESAIM: Mathematical Modelling and Numerical Analysis 50 (3) 727 (2016)
https://doi.org/10.1051/m2an/2015067

A vertex‐centered linearity‐preserving discretization of diffusion problems on polygonal meshes

Jiming Wu, Zhiming Gao and Zihuan Dai
International Journal for Numerical Methods in Fluids 81 (3) 131 (2016)
https://doi.org/10.1002/fld.4178

A discontinuous skeletal method for the viscosity-dependent Stokes problem

Daniele A. Di Pietro, Alexandre Ern, Alexander Linke and Friedhelm Schieweck
Computer Methods in Applied Mechanics and Engineering 306 175 (2016)
https://doi.org/10.1016/j.cma.2016.03.033

Interpolation error estimates for harmonic coordinates on polytopes

Andrew Gillette and Alexander Rand
ESAIM: Mathematical Modelling and Numerical Analysis 50 (3) 651 (2016)
https://doi.org/10.1051/m2an/2015096

$$H({\text {div}})$$ H ( div ) and $$H(\mathbf{curl})$$ H ( curl ) -conforming virtual element methods

L. Beirão da Veiga, F. Brezzi, L. D. Marini and A. Russo
Numerische Mathematik 133 (2) 303 (2016)
https://doi.org/10.1007/s00211-015-0746-1

Virtual element methods for parabolic problems on polygonal meshes

Giuseppe Vacca and Lourenco Beirão da Veiga
Numerical Methods for Partial Differential Equations 31 (6) 2110 (2015)
https://doi.org/10.1002/num.21982

Low-order reconstruction operators on polyhedral meshes: application to compatible discrete operator schemes

Jérôme Bonelle, Daniele A. Di Pietro and Alexandre Ern
Computer Aided Geometric Design 35-36 27 (2015)
https://doi.org/10.1016/j.cagd.2015.03.015

Discrete Helmholtz–Hodge Decomposition on Polyhedral Meshes Using Compatible Discrete Operators

A. Lemoine, J.-P. Caltagirone, M. Azaïez and S. Vincent
Journal of Scientific Computing 65 (1) 34 (2015)
https://doi.org/10.1007/s10915-014-9952-8

Residuala posteriorierror estimation for the Virtual Element Method for elliptic problems

L. Beirão da Veiga and G. Manzini
ESAIM: Mathematical Modelling and Numerical Analysis 49 (2) 577 (2015)
https://doi.org/10.1051/m2an/2014047

Analysis of compatible discrete operator schemes for the Stokes equations on polyhedral meshes

Jérôme Bonelle and Alexandre Ern
IMA Journal of Numerical Analysis 35 (4) 1672 (2015)
https://doi.org/10.1093/imanum/dru051

Addressing integration error for polygonal finite elements through polynomial projections: A patch test connection

Cameron Talischi and Glaucio H. Paulino
Mathematical Models and Methods in Applied Sciences 24 (08) 1701 (2014)
https://doi.org/10.1142/S0218202514400077

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
Oil & Gas Science and Technology – Revue d’IFP Energies nouvelles 69 (4) 701 (2014)
https://doi.org/10.2516/ogst/2013158