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Numerical Simulation of Chemotaxis Systems Using the Finite Volume SUSHI Scheme
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Finite volume discretization of curl-curl operator to compute magnetic field in low frequency approximation
Wayne Poirier, Mohamed Boubekeur and Abelin Kameni COMPEL - The international journal for computation and mathematics in electrical and electronic engineering 45(3) 449 (2026) https://doi.org/10.1108/COMPEL-10-2024-0429
Simulation of Mixture Flows by the Discrete Duality Finite Volume Method
Advanced numerical methods for simulating suspension flow in fibrous media: Application to the RTM process
Hamza Boullouz, Imad Kissami, Imad Elmahi, Ahmed El Moumen and Abdelghani Saouab Computer Physics Communications 316 109783 (2025) https://doi.org/10.1016/j.cpc.2025.109783
Convergence Rates for a Finite Volume Scheme of the Stochastic Heat Equation
Modeling Radiation Belt Dynamics Using a Positivity‐Preserving Finite Volume Method on General Meshes
Peng Peng, Xin Tao, Zong Peng, Yan Jiang, Zhiming Gao, Di Yang, Jay M. Albert and Anthony A. Chan Journal of Geophysical Research: Space Physics 129(9) (2024) https://doi.org/10.1029/2024JA032919
A symmetric and coercive finite volume scheme preserving the discrete maximum principle for anisotropic diffusion equations on star-shaped polygonal meshes
A linearity-preserving diamond scheme with extended least square interpolation for the 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
Study on borehole temperature distribution when the well-kick and the well-leakage occurs simultaneously during geothermal well drilling
Zheng Zhang, Xin Wang, Youming Xiong, Geng Peng, Guorong Wang, Jingsheng Lu, Lin Zhong, Jingpeng Wang, Zhiyin Yan and Ruihua Wei Geothermics 104 102441 (2022) https://doi.org/10.1016/j.geothermics.2022.102441
A nonlinear correction scheme for the heterogeneous and anisotropic diffusion problems on polygonal 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
Entropy and convergence analysis for two finite volume schemes for a Nernst–Planck–Poisson system with ion volume constraints
ADER scheme for incompressible Navier-Stokes equations on overset grids with a compact transmission condition
Michel Bergmann, Michele Giuliano Carlino, Angelo Iollo and Haysam Telib Journal of Computational Physics 467 111414 (2022) https://doi.org/10.1016/j.jcp.2022.111414
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
A linearity-preserving finite volume scheme with a diamond stencil for the simulation of anisotropic and highly heterogeneous diffusion problems using tetrahedral meshes
Ricardo J.M. de Lira Filho, Sidicley R. dos Santos, Túlio de M. Cavalcante, Fernando R.L. Contreras, Paulo R.M. Lyra and Darlan K.E. de Carvalho Computers & Structures 250 106510 (2021) https://doi.org/10.1016/j.compstruc.2021.106510
Accuracy of Cell Centres to Vertices Interpolation for Unstructured Mesh Finite Volume Solver
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
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
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
Thierry Goudon, Stella Krell and Giulia Lissoni Springer Proceedings in Mathematics & Statistics, Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples 323 335 (2020) https://doi.org/10.1007/978-3-030-43651-3_30
A linearity-preserving vertex interpolation algorithm for cell-centered finite volume approximations of anisotropic diffusion problems
Large Time Behavior of Nonlinear Finite Volume Schemes for Convection-Diffusion Equations
Clément Cancès, Claire Chainais-Hillairet, Maxime Herda and Stella Krell SIAM Journal on Numerical Analysis 58(5) 2544 (2020) https://doi.org/10.1137/19M1299311
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
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
Analysis of the decoupled and positivity-preserving DDFV schemes for diffusion problems on polygonal meshes
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
Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problems
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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
A sixth-order finite volume method for diffusion problem with curved boundaries
A positive scheme for diffusion problems on deformed meshes
Xavier Blanc and Emmanuel Labourasse ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 96(6) 660 (2016) https://doi.org/10.1002/zamm.201400234
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
Numerical study of compositional compressible degenerate two-phase flow in saturated–unsaturated heterogeneous porous media
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
An admissibility and asymptotic-preserving scheme for systems of conservation laws with source term on 2D unstructured meshes