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

DOI10.1007/BF02832310zbMath1131.65087MaRDI QIDQ2454975

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

Publication date: 22 October 2007

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

zbMATH Keywords

convergencesuperconvergencemixed finite element methodnon-divergence formsingle-phase quasilinear 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 (1)

The numerical analysis of piezoelectric ceramics based on the Hermite-type RPIM

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• 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
• 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.
• Fully discrete approximation for a quasilinear Stefan problem with forcing term
• \(H_ 1\)-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

This page was built for publication: Fully discrete mixed finite element method for a quasilinear Stefan problem with a forcing term in non-divergence form