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Finite volume discretization of curl-curl operator to compute magnetic field in low frequency approximation
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Simulation of Mixture Flows by the Discrete Duality Finite Volume Method
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Advanced numerical methods for simulating suspension flow in fibrous media: Application to the RTM process
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The cell-centered positivity-preserving finite volume scheme for 3D convection–diffusion equation on distorted meshes
Modeling Radiation Belt Dynamics Using a Positivity‐Preserving Finite Volume Method on General Meshes
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A mimetic interpolation-free cell-centered finite volume scheme for the 2D and 3D heterogeneous anisotropic diffusion equations
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
Transfer of conservative discrete differential operators between staggered grids: construction and duality relations
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ADER scheme for incompressible Navier-Stokes equations on overset grids with a compact transmission condition
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Study on borehole temperature distribution when the well-kick and the well-leakage occurs simultaneously during geothermal well drilling
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A Cell-Centered Semi-Lagrangian Finite Volume Method for Solving Two-Dimensional Coupled Burgers’ Equations
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A positivity-preserving and free energy dissipative hybrid scheme for the Poisson-Nernst-Planck equations on polygonal and polyhedral 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
The cell-centered positivity-preserving finite volume scheme for 3D anisotropic diffusion problems on distorted meshes
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Cartesian CFD Methods for Complex Applications
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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
Parallelization of a finite volumes discretization for anisotropic diffusion problems using an improved Schur complement technique
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Large Time Behavior of Nonlinear Finite Volume Schemes for Convection-Diffusion Equations
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Borehole temperature distribution when drilling fluid loss occurs in the two-dimensional area at the bottom-hole during drilling
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A positivity-preserving nonlinear finite volume scheme for radionuclide transport calculations in geological radioactive waste repository
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A second order in space combination of methods verifying a maximum principle for the discretization of diffusion operators
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
Validation of a 2D cell-centered Finite Volume method for elliptic equations
Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problems
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Very high order finite volume methods for cardiac electrophysiology
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
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A sixth-order finite volume method for diffusion problem with curved boundaries
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