A globally convergent multi-grid algorithm for moving boundary problems of two-phase Stefan type

DOI10.1093/IMANUM/13.2.235zbMath0771.65085OpenAlexW2010604500MaRDI QIDQ4031988

Ronald H. W. Hoppe

Publication date: 3 May 1993

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imanum/13.2.235

zbMATH Keywords

global convergencenumerical resultstwo-phase Stefan problemmultigrid algorithmelliptic variational inequalitycoarse grid correctionpiecewise linear finite elementsenthalpy functionmoving boundary value problem\(W\)-cycleselliptic differential inclusionsdamped multigrid solverdegenerate parabolic initial-boundary value problemSOR algorithmsymmetric nonlinear Gauss-Seidel iterationunconstrained subdifferentiable convex minimization

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) Heat equation (35K05) Degenerate parabolic equations (35K65) 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) Free boundary problems for PDEs (35R35) Applications to the sciences (65Z05) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

Related Items (2)

Implementation of an X-FEM solver for the classical two-phase Stefan problem ⋮ Two algorithms for two-phase Stefan type problems

This page was built for publication: A globally convergent multi-grid algorithm for moving boundary problems of two-phase Stefan type