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A \(P^1-P^1\) finite element method for a phase relaxation model. I: Quasi-uniform mesh. (English) Zbl 0972.65067


MSC:

65M60 Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs
80A22 Stefan problems, phase changes, etc.
80M10 Finite element, Galerkin and related methods applied to problems in thermodynamics and heat transfer
35R35 Free boundary problems for PDEs
65M15 Error bounds for initial value and initial-boundary value problems involving PDEs
65M50 Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs
35K15 Initial value problems for second-order parabolic equations
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