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A moving-mesh finite element method with local refinement for parabolic partial differential equations. (English) Zbl 0612.65070
The authors discuss a novel method for discretization, error estimation and moving mesh procedures using the finite element method. It is shown that creating an adaptive finite element algorithm can ensure better accuracy. Examples are given for illustration purposes.
Reviewer: P.K.Mahanti

MSC:
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
65N15 Error bounds for boundary value problems involving PDEs
65N50 Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs
35K20 Initial-boundary value problems for second-order parabolic equations
Software:
DASSL
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References:
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