A Posteriori Finite Element Error Estimation for Diffusion Problems

DOI10.1137/S1064827596305040zbMath0952.65064MaRDI QIDQ4702405

Belkacem Belguendouz, Joseph E. Flaherty, Slimane Adjerid

Publication date: 24 November 1999

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

zbMATH Keywords

numerical examplesfinite element methodsa posteriori error estimationhierarchical approximations\(p\)-refinementelliptic and parabolic partial differential equations

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Initial value problems for second-order parabolic equations (35K15) 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)

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Uses Software

• DASSL

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