An Efficient Positivity-Preserving Finite Volume Scheme for the Nonequilibrium Three-Temperature Radiation Diffusion Equations on Polygonal Meshes

A High Order Bound Preserving Finite Difference Linear Scheme for Incompressible Flows ⋮ A Quadratic Serendipity Finite Volume Element Method on Arbitrary Convex Polygonal Meshes ⋮ An Interpolation-Free Cell-Centered Finite Volume Scheme for 3D Anisotropic Convection-Diffusion Equations on Arbitrary Polyhedral Meshes

TRHD

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TRHD: Three-temperature radiation-hydrodynamics code with an implicit non-equilibrium radiation transport using a cell-centered monotonic finite volume scheme on unstructured-grids
Nonlinear finite volume method with discrete maximum principle for the two-phase flow model
The cutoff method for the numerical computation of nonnegative solutions of parabolic PDEs with application to anisotropic diffusion and lubrication-type equations
A nine-point scheme with explicit weights for diffusion equations on distorted meshes
Anderson acceleration and application to the three-temperature energy equations
Non-negative mixed finite element formulations for a tensorial diffusion equation
Some new discretization and adaptation and multigrid methods for 2-D 3-T diffusion equations
Interpolation-free monotone finite volume method for diffusion equations on polygonal meshes
On choosing a nonlinear initial iterate for solving the 2-D 3-T heat conduction equations
Jacobian-free Newton-Krylov methods: a survey of approaches and applications.
Convergence of nonlinear finite volume schemes for heterogeneous anisotropic diffusion on general meshes
A vertex-centered and positivity-preserving scheme for anisotropic diffusion problems on arbitrary polygonal grids
Vertex-centered linearity-preserving schemes for nonlinear parabolic problems on polygonal grids
A decoupled and positivity-preserving discrete duality finite volume scheme for anisotropic diffusion problems on general polygonal meshes
A positivity-preserving finite volume scheme for three-temperature radiation diffusion equations
Interface- and discontinuity-aware numerical schemes for plasma 3-T radiation diffusion in two and three dimensions
Monotone finite volume schemes for diffusion equations on unstructured triangular and shape-regular polygonal meshes
Finite volume monotone scheme for highly anisotropic diffusion operators on unstructured triangular meshes. (Schéma volumes finis monotone pour des opérateurs de diffusion fortement anisotropes sur des maillages de triangles non structurés).
A linearity-preserving cell-centered scheme for the heterogeneous and anisotropic diffusion equations on general meshes
A monotone nonlinear finite volume method for approximating diffusion operators on general meshes
A Lions Domain Decomposition Algorithm for Radiation Diffusion Equations on Non-matching Grids
Enforcing the non-negativity constraint and maximum principles for diffusion with decay on general computational grids
A Finite Volume Scheme Preserving Maximum Principle for the System of Radiation Diffusion Equations with Three-Temperature
Parallel adaptive multigrid algorithm for 2-d 3-t diffusion equations
Parallel Finite Volume Computation on General Meshes
A Vertex-Centered and Positivity-Preserving Finite Volume Scheme for Two-Dimensional Three-Temperature Radiation Diffusion Equations on General Polygonal Meshes
Substructuring Preconditioners with a Simple Coarse Space for 2-D 3-T Radiation Diffusion Equations
A New Interpolation for Auxiliary Unknowns of the Monotone Finite Volume Scheme for 3D Diffusion Equations
A Second-Order Positivity-Preserving Finite Volume Scheme for Diffusion Equations on General Meshes
Anderson Acceleration for Nonlinear Finite Volume Scheme for Advection-Diffusion Problems
Finite Volume Element Methods for Two-Dimensional Three-Temperature Radiation Diffusion Equations
A Numerical Methodology for Enforcing Maximum Principles and the Non-Negative Constraint for Transient Diffusion Equations
Discrete maximum principle based on repair technique for diamond type scheme of diffusion problems
Iterative Procedures for Nonlinear Integral Equations