Smoothing and Rothe's method for Stefan problems in enthalpy form

DOI10.1016/S0377-0427(01)00368-5zbMath0994.65099MaRDI QIDQ5957937

Christian Grossmann, Antje Noack

Publication date: 29 September 2002

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

stabilityconvergencesmoothingnumerical experimentsRothe's methodStefan problemssemi-discretizationenthalpy form

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) Free boundary problems for PDEs (35R35) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (3)

Numerical methods for nonlinear second-order hyperbolic partial differential equations. II: Rothe's techniques for 1-D problems ⋮ A regularization of a reaction-diffusion system approximation to the two-phase Stefan problem ⋮ Convergence of Rothe's method for smoothed Stefan problems

Cites Work

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• Optimal error estimates for an approximation of degenerate parabolic problems
• Error Analysis of the Enthalpy Method for the Stefan Problem
• Error estimates for multidimensional singular parabolic problems
• On the Finite Element Approximation of an Elliptic Variational Inequality Arising from an Implicit Time Discretization of the Stefan Problem
• Solution to strongly nonlinear parabolic problems by a linear approximation scheme
• The Stefan Problem in Several Space Variables
• A moving mesh finite element method for the solution of two-dimensional Stefan problems

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