On superconvergence results and negative norm estimates for a unidimensional single phase stefan problem

DOI10.1080/01630569508816611zbMath0834.65126OpenAlexW1988489151MaRDI QIDQ4844886

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Publication date: 27 August 1995

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630569508816611

zbMATH Keywords

Galerkin methodfinite elementsuperconvergencefree boundarynegative norm estimatessingle phase Stefan problem

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) 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)

Related Items (2)

On superconvergence results and negative norm estimates for parabolic integro-differential equations ⋮ Negative norm estimates and superconvergence results in Galerkin method for strongly nonlinear parabolic problems

Cites Work

• Superconvergence of the Galerkin approximation of a quasilinear parabolic equation in a single space variable
• A Finite Element Galerkin Method for a Unidimensional Single-Phase Nonlinear Stefan Problem with Dirichlet Boundary Conditions
• Negative Norm Estimates and Superconvergence in Galerkin Methods for Parabolic Problems
• A finite element method for a single phase semilinear stefan problem in one space dimension
• On Galerkin Methods in Semilinear Parabolic Problems

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