An adaptive multilevel approach to parabolic equations

DOI10.1016/0899-8248(91)90011-IzbMath0735.65066OpenAlexW1988975817MaRDI QIDQ3971863

Folkmar A. Bornemann

Publication date: 25 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(91)90011-i

zbMATH Keywords

numerical resultsfinite element methodextrapolation methodselliptic subproblemsextrapolated implicit Euler schememultiplicative error correctionrestricted-denominator- Pade approximationstemporally homogeneous parabolic initial-boundary-value problemsvariable-order time discretization

Mathematics Subject Classification ID

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)

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Numerical approximation of multi-phase Penrose-Fife systems ⋮ Two-dimensional fully adaptive solutions of reaction-diffusion equations ⋮ On the History of Differential-Algebraic Equations ⋮ Error-controlled global sensitivity analysis of ordinary differential equations ⋮ Error estimates and adaptive finite element methods ⋮ Residual based a posteriori error estimators for eddy current computation ⋮ Cascadic multigrid methods for parabolic problems ⋮ Discrete transparent boundary conditions for the numerical solution of Fresnel's equation ⋮ The DUNE-subgrid module and some applications ⋮ An adaptive Rothe method for nonlinear reaction-diffusion systems

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