Numerical Study of Maximum Norm a Posteriori Error Estimates for Singularly Perturbed Parabolic Problems

DOI10.1007/978-3-642-41515-9_5zbMath1352.65354OpenAlexW1433860824MaRDI QIDQ2859132

Torsten Linss, Natalia Kopteva

Publication date: 6 November 2013

Published in: Lecture Notes in Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-41515-9_5

zbMATH Keywords

singular perturbationparabolic equationreaction-diffusion equationa posteriori error estimatebackward Euler methodCrank-Nicolson methodelliptic reconstructionmaximum norm

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

Related Items (2)

Improved maximum-norm a posteriori error estimates for linear and semilinear parabolic equations ⋮ A posteriori error estimation for arbitrary order FEM applied to singularly perturbed one-dimensional reaction-diffusion problems.

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