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Finite volume discretization of curl-curl operator to compute magnetic field in low frequency approximation
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A muscl-scheme on 2D staggered unstructured grids for the Euler equations
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A structure preserving hybrid finite volume scheme for semiconductor models with magnetic field on general meshes
A Local Grid-Refined Numerical Groundwater Model Based on the Vertex-centred Finite-Volume Method
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A 3D face interpolated discretisation method for simulating anisotropic diffusive processes on meshes coming from wood morphology
Transfer of conservative discrete differential operators between staggered grids: construction and duality relations
Thierry Goudon, Stella Krell, Julie Llobell and Sebastian Minjeaud IMA Journal of Numerical Analysis 42(3) 2459 (2022) https://doi.org/10.1093/imanum/drab042
An explicit finite volume scheme on staggered grids for the Euler equations: Unstructured meshes, stability analysis, and energy conservation
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Non-overlapping Schwarz algorithms for the incompressible Navier–Stokes equations with DDFV discretizations
Thierry Goudon, Stella Krell and Giulia Lissoni ESAIM: Mathematical Modelling and Numerical Analysis 55(4) 1271 (2021) https://doi.org/10.1051/m2an/2021024
The Diamond Laplace for Polygonal and Polyhedral Meshes
Optimized Schwarz methods with general Ventcell transmission conditions for fully anisotropic diffusion with discrete duality finite volume discretizations
Martin J. Gander, Laurence Halpern, Florence Hubert and Stella Krell Moroccan Journal of Pure and Applied Analysis 7(2) 182 (2021) https://doi.org/10.2478/mjpaa-2021-0014
Combined mixed finite element and nonconforming finite volume methods for flow and transport in porous media
Raviart–Thomas finite elements of Petrov–Galerkin type
Francois Dubois, Isabelle Greff and Charles Pierre ESAIM: Mathematical Modelling and Numerical Analysis 53(5) 1553 (2019) https://doi.org/10.1051/m2an/2019020
Discrete duality finite volume method with tangential redistribution of points for surfaces evolving by mean curvature
Numerical Analysis of a Nonlinear Free-Energy Diminishing Discrete Duality Finite Volume Scheme for Convection Diffusion Equations
Clément Cancès, Claire Chainais-Hillairet and Stella Krell Computational Methods in Applied Mathematics 18(3) 407 (2018) https://doi.org/10.1515/cmam-2017-0043
Energy stable numerical methods for porous media flow type problems
Clément Cancès, A. Anciaux-Sedrakian and Q. H. Tran Oil & Gas Science and Technology – Revue d’IFP Energies nouvelles 73 78 (2018) https://doi.org/10.2516/ogst/2018067
Finite Volumes for Complex Applications VIII - Methods and Theoretical Aspects
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A posteriori error estimates for mixed finite volume solution of elliptic boundary value problems
Fayssal Benkhaldoun, Mohammed Seaid and Amadou Mahamane Moroccan Journal of Pure and Applied Analysis 3(2) 199 (2017) https://doi.org/10.1515/mjpaa-2017-0016
General fully implicit discretization of the diffusion term for the finite volume method
Finite Volumes for Complex Applications VIII - Methods and Theoretical Aspects
Franck Boyer, Stella Krell and Flore Nabet Springer Proceedings in Mathematics & Statistics, Finite Volumes for Complex Applications VIII - Methods and Theoretical Aspects 199 163 (2017) https://doi.org/10.1007/978-3-319-57397-7_11
An asymptotic-preserving scheme for systems of conservation laws with source terms on 2D unstructured meshes
Christophe Berthon, Guy Moebs, Céline Sarazin-Desbois and Rodolphe Turpault Communications in Applied Mathematics and Computational Science 11(1) 55 (2016) https://doi.org/10.2140/camcos.2016.11.55
Building Bridges: Connections and Challenges in Modern Approaches to Numerical Partial Differential Equations
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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
A discretization of the multigroup P radiative transfer equation on general meshes
A monotone nonlinear finite volume method for approximating diffusion operators on general meshes
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The arbitrary order mixed mimetic finite difference method for the diffusion equation
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
Convergence Analysis on Unstructured Meshes of a DDFV Method for Flow Problems with Full Neumann Boundary Conditions
Domain Decomposition Methods in Science and Engineering XXI
Paul-Marie Berthe, Caroline Japhet and Pascal Omnes Lecture Notes in Computational Science and Engineering, Domain Decomposition Methods in Science and Engineering XXI 98 567 (2014) https://doi.org/10.1007/978-3-319-05789-7_54
Comparison of DDFV and DG Methods for Flow in Anisotropic Heterogeneous Porous Media
V. Baron, Y. Coudière and P. Sochala Oil & Gas Science and Technology – Revue d’IFP Energies nouvelles 69(4) 673 (2014) https://doi.org/10.2516/ogst/2013157
Finite Volumes for Complex Applications VII-Elliptic, Parabolic and Hyperbolic Problems
Thierry Goudon and Stella Krell Springer Proceedings in Mathematics & Statistics, Finite Volumes for Complex Applications VII-Elliptic, Parabolic and Hyperbolic Problems 78 627 (2014) https://doi.org/10.1007/978-3-319-05591-6_62
Finite volume schemes for diffusion equations: Introduction to and review of modern methods
Domain Decomposition Methods in Science and Engineering XXI
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