Fully discrete approximation for a quasilinear Stefan problem with forcing term

DOI10.1016/S0096-3003(01)00249-1zbMath1029.65110OpenAlexW2042993948MaRDI QIDQ1855896

H. Y. Lee, Mi-Ray Ohm, Jun Yong Shin

Publication date: 28 January 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(01)00249-1

zbMATH Keywords

optimal error estimatesbackward Euler methodfinite element Galerkin methodquasilinear Stefan problem

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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Free boundary problems for PDEs (35R35) Finite element, Galerkin and related methods applied to problems in thermodynamics and heat transfer (80M10)

Related Items

A discrete finite element Galerkin method for a unidimensional single-phase Stefan problem, Mixed finite element method for a single phase quasi-linear Stefan problem with a forcing term in non-divergence form., Fully discrete mixed finite element method for a quasilinear Stefan problem with a forcing term in non-divergence form, Numerical schemes for one-dimensional Stefan-like problems with a forcing term

Cites Work

• Free boundary problems for nonlinear parabolic equations with nonlinear free boundary conditions
• A Finite Element Galerkin Method for a Unidimensional Single-Phase Nonlinear Stefan Problem with Dirichlet Boundary Conditions
• A Priori Error Estimates for a Single-Phase Quasilinear Stefan Problem in one Space Dimension
• A Priori Error Estimates in H¹ and H² Norms for Galerkin Approximations to a Single-Phase Nonlinear Stefan Problem in One Space Dimension
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