A new approach for numerical identification of free boundary

DOI10.1016/S0096-3003(01)00227-2zbMath1029.65107MaRDI QIDQ1855872

Chung-Ki Cho

Publication date: 28 January 2003

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

zbMATH Keywords

stabilityparameter estimationfree boundary problemparameter identificationStefan problemcubic spline scheme

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) Heat equation (35K05) Inverse problems for PDEs (35R30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Free boundary problems for PDEs (35R35) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

Related Items (1)

Numerical schemes for one-dimensional Stefan-like problems with a forcing term

Cites Work

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• Galerkin finite element methods for parabolic problems
• 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
• Estimation techniques for distributed parameter systems
• \(H_ 1\)-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
• On the Stefan problem
• Parameter estimation in nonlinear age-dependent population dynamics

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