A Local Refinement Finite-Element Method for Two-Dimensional Parabolic Systems

DOI10.1137/0909053zbMath0659.65105OpenAlexW2068363147MaRDI QIDQ3809182

Joseph E. Flaherty, Slimane Adjerid

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1137/0909053

zbMATH Keywords

error estimatesnumerical examplesparabolic systemssuperconvergenceinitial boundary value problemscomputational efficiencyadaptive finite element methodmesh refinementstiff differential systemsfinite element Galerkin procedurelocal refinement of the finite element grid

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

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Uses Software

• DASSL