Error Control and Andaptivity for a Phase Relaxation Model

DOI10.1051/m2an:2000103zbMath0965.65114OpenAlexW2012903976MaRDI QIDQ4518351

Zhiming Chen, Alfred Schmidt, Ricardo H. Nochetto

Publication date: 6 March 2001

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/197455

zbMATH Keywords

performancestabilityfinite elementsnumerical experimentsadaptivitya posteriori error estimatesvariable step-sizediffuse interfacesubdifferential operatorphase relaxationsemi-explicit Euler method

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) 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) Free boundary problems for PDEs (35R35) Initial value problems for second-order parabolic equations (35K15) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Complexity and performance of numerical algorithms (65Y20)

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