AP1--P1Finite Element Method for a Phase Relaxation Model I: Quasi-Uniform Mesh

DOI10.1137/S0036142996297783zbMath0972.65067OpenAlexW2013539315MaRDI QIDQ4389172

Xun Jiang, Ricardo H. Nochetto

Publication date: 12 May 1998

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036142996297783

zbMATH Keywords

performancestabilityconvergenceasymptotic behaviornumerical experimentspreconditioned conjugate gradient methoddouble obstaclesdiffuse interfacephase relaxationpiecewise linear finite elementsquasi-uniform meshsemi-explicit time discretizationsuperheating effect

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) 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) Finite element, Galerkin and related methods applied to problems in thermodynamics and heat transfer (80M10)

Related Items (5)

Heterogeneous Stefan problem and permafrost models with P0-P0 finite elements and fully implicit monolithic solver ⋮ Anisotropic mesh adaptation for the solution of the Stefan problem. ⋮ Upscaling an extended heterogeneous Stefan problem from the pore-scale to the Darcy scale in permafrost ⋮ Optimal error estimates for semidiscrete phase relaxation models ⋮ Error Control and Andaptivity for a Phase Relaxation Model

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