Blockwise Adaptivity for Time Dependent Problems Based on Coarse Scale Adjoint Solutions

DOI10.1137/090753826zbMath1216.65127OpenAlexW2035843399MaRDI QIDQ2998026

Mats G. Larson, Donald J. Estep, A. Johansson, V. Carey, Simon J. Tavener

Publication date: 17 May 2011

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

Full work available at URL: https://semanticscholar.org/paper/a7c08ce6095571621320535b53b4d780921205f5

zbMATH Keywords

numerical examplesadaptive mesh refinementdualitydiscontinuous Galerkin methodresidualreaction-diffusion equationadaptive error controlvariational analysisa posteriori error analysisadjoint problemgeneralized Green's functiongoal oriented error estimates

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)

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