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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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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
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
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 asymptotic preserving method for the linear transport equation on general 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
Accuracy of Cell Centres to Vertices Interpolation for Unstructured Mesh Finite Volume Solver
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
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
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
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
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
A novel cell-centered finite volume scheme with positivity-preserving property for the anisotropic diffusion problems on general polyhedral meshes
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
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 linearity-preserving vertex interpolation algorithm for cell-centered finite volume approximations of anisotropic diffusion problems
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 vertex‐centered and positivity‐preserving scheme for anisotropic diffusion equations on general polyhedral meshes
Shuai Su, Qiannan Dong and Jiming Wu Mathematical Methods in the Applied Sciences 42(1) 59 (2019) https://doi.org/10.1002/mma.5324
Discrete duality finite volume method with tangential redistribution of points for surfaces evolving by mean curvature
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
Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problems
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A sixth-order finite volume method for diffusion problem with curved boundaries
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
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
Numerical modeling of subsidence in saturated porous media: A mass conservative method
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A reconstruction algorithm with flexible stencils for anisotropic diffusion equations on 2D skewed meshes
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New cell–vertex reconstruction for finite volume scheme: Application to the convection–diffusion–reaction equation
A sixth-order finite volume method for multidomain convection–diffusion problem with discontinuous coefficients
S. Clain, G.J. Machado, J.M. Nóbrega and R.M.S. Pereira Computer Methods in Applied Mechanics and Engineering 267 43 (2013) https://doi.org/10.1016/j.cma.2013.08.003