An adaptive multilevel approach to parabolic equations III. 2D error estimation and multilevel preconditioning

DOI10.1016/0899-8248(92)90015-ZzbMath0745.65055OpenAlexW2034298604MaRDI QIDQ3989845

Folkmar A. Bornemann

Publication date: 28 June 1992

Published in: IMPACT of Computing in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0899-8248(92)90015-z

zbMATH Keywords

preconditionerparabolic equationserror estimatormultilevel iterationadaptive finite element solverbioheat-transfer equationdiscretization of time and space

Mathematics Subject Classification ID

Numerical computation of matrix norms, conditioning, scaling (65F35) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Initial value problems for second-order parabolic equations (35K15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) 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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Uses Software

• Kaskade7