## 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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