Adaptive FEM for reaction-diffusion equations

DOI10.1016/S0168-9274(97)00088-3zbMath0908.65088MaRDI QIDQ1379046

Jens Lang

Publication date: 18 March 1999

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

zbMATH Keywords

finite element methodmethod of linesRosenbrock methodsa posteriori error estimatesstep size controladaptive Rothe methodmixed systems of nonlinear parabolic and elliptic differential equationstrimming-tree strategy

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) 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) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Related Items

A two-dimensional moving finite element method with local refinement based on a posteriori error estimates, The impact of parameter selection on the performance of an automatic adaptive code for solving reaction-diffusion equations in three dimensions, Pointwise nonlinear scaling for reaction-diffusion equations

Uses Software

• PLTMG
• RODAS
• Kaskade7

Cites Work

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