A piecewise linear finite element discretization of the diffusion equation for arbitrary polyhedral grids

DOI10.1016/j.jcp.2007.11.026zbMath1142.65077OpenAlexW2053533742MaRDI QIDQ2427315

Teresa S. Bailey, Marvin L. Adams, Michael R. Zika, Brian Yang

Publication date: 9 May 2008

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://digital.library.unt.edu/ark:/67531/metadc885830/

zbMATH Keywords

Galerkin methodnumerical examplesadaptive mesh refinementfinite elementunstructured gridsfinite-volumeradiation diffusion equationarbitrary polyhedral gridspiecewise linear weight and basis functions

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Initial value problems for second-order parabolic equations (35K15) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Related Items (5)

Provably optimal parallel transport sweeps on semi-structured grids ⋮ Massively parallel transport sweeps on meshes with cyclic dependencies ⋮ A finite volume method for approximating 3D diffusion operators on general meshes ⋮ Discontinuous finite element solution of the radiation diffusion equation on arbitrary polygonal meshes and locally adapted quadrilateral grids ⋮ An unstructured CD-grid variational formulation for sea ice dynamics

Uses Software

• hypre

Cites Work

• Unnamed Item
• Differencing of the diffusion equation in Lagrangian hydrodynamic codes
• Asymptotic analysis of a computational method for time- and frequency-dependent radiative transfer
• Theory and practice of finite elements.
• The mimetic finite difference method on polygonal meshes for diffusion-type problems

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