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Chen, Zhiming; Feng, Jia

An adaptive finite element algorithm with reliable and efficient error control for linear parabolic problems. (English) Zbl 1052.65091

Math. Comput. 73, No. 247, 1167-1193 (2004).
The authors present an adaptive finite-element algorithm for parabolic equations. The algorithm for mesh refinement or coarsening is based on an a priori error estimate derived from the norm of the discontinuities in the flux and from the temporal variability of the source.
Reviewer: Gerald W. Hedstrom (Pleasanton)

Cited in 51 Documents

MSC:

65M60 Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs
65M15 Error bounds for initial value and initial-boundary value problems involving PDEs
35K15 Initial value problems for second-order parabolic equations
65M50 Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs

Keywords:

finite elements; parabolic equation; a posteriori error estimate; algorithm; mesh refinement

Software:

ALBERT
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Full Text: DOI

References:

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