An Adaptive Finite Element Method for Parabolic Differential Systems: Some Algorithmic Considerations in Solving in Three Space Dimensions

DOI10.1137/S1064827598349197zbMath0969.65090OpenAlexW1981839014MaRDI QIDQ4509788

Peter K. Moore

Publication date: 19 October 2000

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

Full work available at URL: https://doi.org/10.1137/s1064827598349197

zbMATH Keywords

numerical exampleserror boundmethod of linesdifferential algebraic equationsadaptive finite element methodsimplementationgrid refinementcombustion problemrefinement rulesBrusselator problem with diffusionGalerking methodincomplete Gauss elimination

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Numerical methods for differential-algebraic equations (65L80) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

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