Smoothing and newton's method for a discontinuous variational equation of stefan type∗

DOI10.1080/02331930108844523zbMath0973.35102OpenAlexW2008821004MaRDI QIDQ2710386

Sirko Winzer, H.-P. Scheffler, Christian Grossmann

Publication date: 9 December 2001

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331930108844523

zbMATH Keywords

penalty methodsenthalpy formulation of Stefan problemsnonsmooth convex variational problems of obstacle type

Mathematics Subject Classification ID

Newton-type methods (49M15) Nonlinear parabolic equations (35K55) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Free boundary problems for PDEs (35R35)

Related Items (2)

Smoothing and Rothe's method for Stefan problems in enthalpy form ⋮ Convergence of Rothe's method for smoothed Stefan problems

Cites Work

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• Accurate solutions of moving boundary problems using the enthalpy method
• Quasilinear elliptic-parabolic differential equations
• An enthalpy scheme for Stefan problems in several dimensions
• An Adaptive Finite Element Method for Two-Phase Stefan Problems in Two Space Dimensions. II: Implementation and Numerical Experiments
• Optimal error estimates for an approximation of degenerate parabolic problems
• A class of non-degenerate two-phase stefan problems in several space variables
• Error Analysis of the Enthalpy Method for the Stefan Problem
• Approximation of Degenerate Parabolic Problems Using Numerical Integration
• 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
• Multidimensional Stefan Problems

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