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A symmetric and coercive finite volume scheme preserving the discrete maximum principle for anisotropic diffusion equations on star-shaped polygonal meshes
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Iteratively coupled elastoplastic simulation of pumping-induced land deformation using a finite volume-finite element method
A linearity-preserving diamond scheme with extended least square interpolation for the heterogeneous and anisotropic diffusion problems on polyhedral meshes
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
A least squares based diamond scheme for 3D heterogeneous and anisotropic diffusion problems on polyhedral meshes
A Cell-Centered Semi-Lagrangian Finite Volume Method for Solving Two-Dimensional Coupled Burgers’ Equations
Ilham Asmouh, Mofdi El-Amrani, Mohammed Seaid, Naji Yebari and Chunrui Zhang Computational and Mathematical Methods 2022 1 (2022) https://doi.org/10.1155/2022/8192192
An Eulerian Finite-Volume Approach of Fluid-Structure Interaction Problems on Quadtree Meshes
A least squares based diamond scheme for anisotropic diffusion problems on polygonal meshes
Cheng Dong and Tong Kang International Journal for Numerical Methods in Fluids 93(11) 3231 (2021) https://doi.org/10.1002/fld.5031
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
Parallelization of a finite volumes discretization for anisotropic diffusion problems using an improved Schur complement technique
Hassan Belhadj, Samir Khallouq and Mohamed Rhoudaf Discrete & Continuous Dynamical Systems - S 14(7) 2075 (2021) https://doi.org/10.3934/dcdss.2020260
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
Accuracy of Cell Centres to Vertices Interpolation for Unstructured Mesh Finite Volume Solver
A linearity-preserving finite volume scheme with a diamond stencil for the simulation of anisotropic and highly heterogeneous diffusion problems using tetrahedral meshes
Michel Bergmann, Antoine Fondanèche and Angelo Iollo SEMA SIMAI Springer Series, Cartesian CFD Methods for Complex Applications 3 1 (2021) https://doi.org/10.1007/978-3-030-61761-5_1
A numerical-analysis-focused comparison of several finite volume schemes for a unipolar degenerate drift-diffusion model
Clément Cancès, Claire Chainais-Hillairet, Jürgen Fuhrmann and Benoît Gaudeul IMA Journal of Numerical Analysis 41(1) 271 (2021) https://doi.org/10.1093/imanum/draa002
Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples
Michel Bergmann, Antoine Fondanèche and Angelo Iollo Springer Proceedings in Mathematics & Statistics, Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples 323 765 (2020) https://doi.org/10.1007/978-3-030-43651-3_73
A Convergent Entropy Diminishing Finite Volume Scheme for a Cross-Diffusion System
A positivity-preserving nonlinear finite volume scheme for radionuclide transport calculations in geological radioactive waste repository
Gang Peng, Zhiming Gao, Wenjing Yan and Xinlong Feng International Journal of Numerical Methods for Heat & Fluid Flow 30(2) 516 (2020) https://doi.org/10.1108/HFF-04-2019-0327
A combined finite volume - finite element scheme for a low-Mach system involving a Joule term
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
A finite volume method for a coupled fracture model with matching and nonmatching grids
Convergence analysis of the nonlinear iterative method for two-phase flow in porous media associated with nanoparticle injection
Mohamed El-Amin, Jisheng Kou and Shuyu Sun International Journal of Numerical Methods for Heat & Fluid Flow 27(10) 2289 (2017) https://doi.org/10.1108/HFF-05-2016-0210
Finite Volumes for Complex Applications VIII - Methods and Theoretical Aspects
Clément Cancès, Claire Chainais-Hillairet and Stella Krell Springer Proceedings in Mathematics & Statistics, Finite Volumes for Complex Applications VIII - Methods and Theoretical Aspects 199 439 (2017) https://doi.org/10.1007/978-3-319-57397-7_37
Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problems
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Vertex-Centered Linearity-Preserving Schemes for Nonlinear Parabolic Problems on Polygonal Grids
A monotone nonlinear finite volume method for approximating diffusion operators on general meshes
Jean‐Sylvain Camier and Francois Hermeline International Journal for Numerical Methods in Engineering 107(6) 496 (2016) https://doi.org/10.1002/nme.5184
A positive scheme for diffusion problems on deformed meshes
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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
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A reconstruction algorithm with flexible stencils for anisotropic diffusion equations on 2D skewed meshes
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Finite volume schemes for diffusion equations: Introduction to and review of modern methods