Convergence of Rothe's method for smoothed Stefan problems

DOI10.1016/S0362-546X(01)00866-5zbMath1011.65060MaRDI QIDQ1849008

Yanyan Li

Publication date: 28 November 2002

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

zbMATH Keywords

convergencefree boundary problemfinite elementmethod of lineserror estimateRothe's methodtwo-phase Stefan problemdiscontinuous parabolic equation

Mathematics Subject Classification ID

Heat equation (35K05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Free boundary problems for PDEs (35R35) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Cites Work

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• On a numerical approach to Stefan-like problems
• Error estimates for the explicit finite difference method solving the Stefan problem
• Quasilinear elliptic-parabolic differential equations
• Solution of porous medium type systems by linear approximation schemes
• Co-volume methods for degenerate parabolic problems
• Smoothing and newton's method for a discontinuous variational equation of stefan type^∗
• Error estimates for multidimensional singular parabolic problems
• Solution to strongly nonlinear parabolic problems by a linear approximation scheme
• The Stefan Problem in Several Space Variables
• Smoothing and Rothe's method for Stefan problems in enthalpy form

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