Error estimates for a single-phase quasilinear Stefan problem in one space dimension

DOI10.1016/S0168-9274(97)00100-1zbMath0907.65129OpenAlexW2006583689MaRDI QIDQ1382292

D. Massart

Publication date: 2 June 1998

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0168-9274(97)00100-1

zbMATH Keywords

convergencefinite elementoptimal error estimatesCrank-Nicolson methodquasilinear Stefan problem

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Stefan problems, phase changes, etc. (80A22) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) 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) Applications to the sciences (65Z05) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)

Related Items (6)

Error estimates for mixed finite element approximations to a linear Stefan problem. ⋮ 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 mixed finite element method for a quasilinear Stefan problem with a forcing term in non-divergence form ⋮ Legendre wavelet based numerical solution of variable latent heat moving boundary problem ⋮ A new approach for numerical identification of free boundary

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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