A Priori Error Estimates for a Single-Phase Quasilinear Stefan Problem in one Space Dimension

DOI10.1093/imanum/11.3.377zbMath0727.65113OpenAlexW2104594727MaRDI QIDQ3349933

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Publication date: 1991

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imanum/11.3.377

zbMATH Keywords

finite element Galerkin methodOptimal error estimatessingle phase nonlinear Stefan problem

Mathematics Subject Classification ID

Related Items (15)

A convergence analysis of semi-discrete and fully-discrete nonconforming FEM for the parabolic obstacle problem ⋮ Error estimates for mixed finite element approximations to a linear Stefan problem. ⋮ A discrete finite element Galerkin method for a unidimensional single-phase Stefan problem ⋮ Error analysis of finite element approximation of a Stefan problem with nonlinear free boundary condition ⋮ Error estimates for a single-phase quasilinear Stefan problem in one space dimension ⋮ Mixed finite element method for a single phase quasi-linear Stefan problem with a forcing term in non-divergence form. ⋮ Error analysis of a mixed finite element approximation of a linear Stefan problem. ⋮ Convergence analysis of finite element method for a parabolic obstacle problem ⋮ Fully discrete mixed finite element method for a quasilinear Stefan problem with a forcing term in non-divergence form ⋮ Unified error analysis of discontinuous Galerkin methods for parabolic obstacle problem. ⋮ Crouzeix-Raviart finite element approximation for the parabolic obstacle problem ⋮ Conforming and discontinuous Galerkin FEM in space for solving parabolic obstacle problem ⋮ A finite element method for a single phase quasilinear free boundary problem in one space dimension ⋮ Fully discrete approximation for a quasilinear Stefan problem with forcing term ⋮ Error estimates for a single phase quasilinear Stefan problem with a forcing term

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