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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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Discrete duality finite volume scheme for a generalized Joule heating problem
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A nonlinear correction scheme for the heterogeneous and anisotropic diffusion problems on polygonal meshes
A Cell-Centered Semi-Lagrangian Finite Volume Method for Solving Two-Dimensional Coupled Burgers’ Equations
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Study on borehole temperature distribution when the well-kick and the well-leakage occurs simultaneously during geothermal well drilling
A linearity-preserving finite volume scheme with a diamond stencil for the simulation of anisotropic and highly heterogeneous diffusion problems using tetrahedral 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
A numerical-analysis-focused comparison of several finite volume schemes for a unipolar degenerate drift-diffusion model
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Hybrid finite volume-finite element methods for hydro-mechanical analysis in highly heterogeneous porous media
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
Borehole temperature distribution when drilling fluid loss occurs in the two-dimensional area at the bottom-hole during drilling
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 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
Validation of a 2D cell-centered Finite Volume method for elliptic equations
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
Very high order finite volume methods for cardiac electrophysiology
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An asymptotic-preserving scheme for systems of conservation laws with source terms on 2D unstructured meshes
A monotone nonlinear finite volume method for approximating diffusion operators on general meshes
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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
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Numerical analysis of a non equilibrium two-component two-compressible flow in porous media
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Study of Discrete Duality Finite Volume Schemes for the Peaceman Model
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Some recent advances on vertex centered finite volume element methods for elliptic equations