Maximum-Norm A Posteriori Error Estimates for Singularly Perturbed Reaction-Diffusion Problems on Anisotropic Meshes

DOI10.1137/140983458zbMath1330.65164OpenAlexW2142233835MaRDI QIDQ3453959

Natalia Kopteva

Publication date: 2 December 2015

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10344/5604

zbMATH Keywords

singular perturbationreaction-diffusiona posteriori error estimatemaximum normanisotropic triangulation

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (11)

Maximum-norm a posteriori error estimates for singularly perturbed elliptic reaction-diffusion problems ⋮ An efficient numerical technique for solving nonlinear singularly perturbed reaction diffusion problem ⋮ Energy-norm a posteriori error estimates for singularly perturbed reaction-diffusion problems on anisotropic meshes ⋮ Improved maximum-norm a posteriori error estimates for linear and semilinear parabolic equations ⋮ Pointwise A Posteriori Error Estimates for Discontinuous Galerkin Methods for Singularly Perturbed Reaction-Diffusion Equations ⋮ Parameter uniform fitted mesh finite difference scheme for elliptical singularly perturbed problems with mixed shifts in two dimensions ⋮ A posteriori error estimates for a dual finite element method for singularly perturbed reaction-diffusion problems ⋮ Lower a posteriori error estimates on anisotropic meshes ⋮ A posteriori maximum-norm error bounds for the biquadratic spline collocation method applied to reaction-diffusion problems ⋮ Simple and robust equilibrated flux a posteriori estimates for singularly perturbed reaction–diffusion problems ⋮ Conditional A Posteriori Error Bounds for High Order Discontinuous Galerkin Time Stepping Approximations of Semilinear Heat Models with Blow-up

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