Error analysis of a mixed finite element approximation of a linear Stefan problem.

DOI10.1016/S0096-3003(02)00376-4zbMath1062.65094MaRDI QIDQ1399812

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

Publication date: 30 July 2003

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

zbMATH Keywords

convergenceerror analysissemidiscrete approximationfully discrete approximationmixed finite element Galerkin methodsingle-phase linear Stefan problem

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) Heat equation (35K05) 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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Free boundary problems for PDEs (35R35) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Finite element, Galerkin and related methods applied to problems in thermodynamics and heat transfer (80M10)

Related Items (3)

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 ⋮ Fully discrete mixed finite element method for a quasilinear Stefan problem with a forcing term in non-divergence form

Cites Work

• Free boundary problems for nonlinear parabolic equations with nonlinear free boundary conditions
• Error estimates for a single-phase quasilinear Stefan problem in one space dimension
• \(H_ 1\)-estimates of optimal orders for Galerkin methods to one-dimensional Stefan problems
• 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 finite element method for a single phase semilinear 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
• Galerkin method for a Stefan-type problem in one space dimension
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