Error estimates for Euler forward scheme related to two-phase Stefan problems

DOI10.1051/m2an/1992260203651zbMath0748.65082OpenAlexW2517222584MaRDI QIDQ3988578

Geneviève Amiez, Pierre Alain Gremaud

Publication date: 28 June 1992

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

Full work available at URL: https://eudml.org/doc/193668

zbMATH Keywords

stabilityconvergenceerror estimatesnonlinear parabolic problementhalpylinear finite elementsEuler forward schemeexplicit time discretizationtwo-phase Stefan problemsmass-lumping procedure

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Stefan problems, phase changes, etc. (80A22) 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) Applications to the sciences (65Z05)

Related Items

Existence and uniqueness of solution to the two-phase Stefan problem with convection ⋮ Three-dimensional numerical simulation of solidification by an improved explicit scheme ⋮ High-order Mass-lumped Schemes for Nonlinear Degenerate Elliptic Equations

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