Solution of Equilibrium Radiation Diffusion Problems Using Implicit Adaptive Mesh Refinement

DOI10.1137/040609069zbMath1099.65071OpenAlexW2033209980WikidataQ57707682 ScholiaQ57707682MaRDI QIDQ5470387

Bobby Philip, Michael Pernice

Publication date: 30 May 2006

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/3c01cc7198bb8df72404a653e564d720dc16fa50

zbMATH Keywords

nonlinear parabolic equationfinite volume methodnumerical examplesNewton-Krylov methodsimplicit time integrationmultilevel preconditioningMarshak wavefast adaptive composite gridfinite diffrence method

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Nonlinear parabolic equations (35K55) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

Related Items (12)

A finite volume element scheme with a monotonicity correction for anisotropic diffusion problems on general quadrilateral meshes ⋮ A moving mesh finite difference method for equilibrium radiation diffusion equations ⋮ Interface- and discontinuity-aware numerical schemes for plasma 3-T radiation diffusion in two and three dimensions ⋮ Dynamic implicit 3D adaptive mesh refinement for non-equilibrium radiation diffusion ⋮ Meshfree methods for nonlinear equilibrium radiation diffusion equation with jump coefficient ⋮ Improving the stochastic direct simulation method with applications to evolution partial differential equations ⋮ Nonlinear iteration acceleration solution for equilibrium radiation diffusion equation ⋮ Implicit adaptive mesh refinement for 2D reduced resistive magnetohydrodynamics ⋮ A Nonlinear Finite Volume Scheme Preserving Maximum Principle for Diffusion Equations ⋮ Moving mesh finite difference solution of non-equilibrium radiation diffusion equations ⋮ Second-order accurate interface- and discontinuity-aware diffusion solvers in two and three dimensions ⋮ On choosing a nonlinear initial iterate for solving the 2-D 3-T heat conduction equations

Uses Software

• hypre
• VLUGR2
• PETSc
• SAMRAI

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