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Finite volume discretization of curl-curl operator to compute magnetic field in low frequency approximation
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Convergence Rates for a Finite Volume Scheme of the Stochastic Heat Equation
Advanced numerical methods for simulating suspension flow in fibrous media: Application to the RTM process
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Arbitrary-Lagrangian-Eulerian finite volume IMEX schemes for the incompressible Navier-Stokes equations on evolving Chimera meshes
Modeling Radiation Belt Dynamics Using a Positivity‐Preserving Finite Volume Method on General Meshes
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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
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
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
An Eulerian finite-volume approach of fluid-structure interaction problems on quadtree meshes
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
Hybrid finite volume-finite element methods for hydro-mechanical analysis in highly heterogeneous porous media
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
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Cartesian CFD Methods for Complex Applications
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
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
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 combined finite volume - finite element scheme for a low-Mach system involving a Joule term
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 second order in space combination of methods verifying a maximum principle for the discretization of diffusion operators
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
Accurate discretization of diffusion in the LS-STAG cut-cell method using diamond cell techniques
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
Regularization of the Lagrangian point force approximation for deterministic discrete particle simulations
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
Vertex-Centered Linearity-Preserving Schemes for Nonlinear Parabolic Problems on Polygonal Grids
Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problems
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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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Numerical modeling of subsidence in saturated porous media: A mass conservative method