A space-time finite element method for nonlinear parabolic problems

DOI10.1016/0168-9274(94)00023-9zbMath0810.65092OpenAlexW1993569129MaRDI QIDQ1339324

A. Scarpa, Maria Morandi Cecchi

Publication date: 1 December 1994

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0168-9274(94)00023-9

zbMATH Keywords

Stefan problemspace-time finite element methodnonlinear parabolic problems

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Stefan problems, phase changes, etc. (80A22) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Free boundary problems for PDEs (35R35)

Cites Work

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• Error estimates for two-phase Stefan problems in several space variables. I: Linear boundary conditions
• On the numerical approach to a two-phase Stefan problem with nonlinear flux
• Error estimates for a semi-explicit numerical scheme for Stefan-type problems
• 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
• Energy error estimates for a linear scheme to approximate nonlinear parabolic problems
• 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
• A Stable Extrapolation Method for Multidimensional Degenerate Parabolic Problems
• A Numerical Solution of the Enthalpy Formulation of the Stefan Problem
• Error Estimates for the Multidimensional Two-Phase Stefan Problem

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