A Local Space-Time Adaptive Scheme in Solving Two-Dimensional Parabolic Problems Based on Domain Decomposition Methods

DOI10.1137/S1064827500315360zbMath0990.65108OpenAlexW2073870194MaRDI QIDQ2719281

Hong-Yi Yu

Publication date: 21 June 2001

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

Full work available at URL: https://doi.org/10.1137/s1064827500315360

zbMATH Keywords

domain decompositionadaptive mesh refinementfinite elementerror estimateextrapolation methodsmultiplicative Schwarz algorithm

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) 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) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) 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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