Space-Time adaptive algorithm for the mixed parabolic problem

In this paper we present an a-posteriori error estimator for the mixed formulation of a linear parabolic problem, used for designing an efficient adaptive algorithm. Our space-time discretization consists of lowest order Raviart-Thomas finite element over graded meshes and discontinuous Galerkin met...

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Bibliographic Details
Published in:Numerische Mathematik 2006-05, Vol.103 (3), p.367-392
Main Authors: CASCON, J. M, FERRAGUT, L, ASENSIO, M. I
Format: Article
Language:English
Subjects:
Adaptive algorithms
Exact sciences and technology
Galerkin method
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Partial differential equations, boundary value problems
Sciences and techniques of general use
Spacetime
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Summary:In this paper we present an a-posteriori error estimator for the mixed formulation of a linear parabolic problem, used for designing an efficient adaptive algorithm. Our space-time discretization consists of lowest order Raviart-Thomas finite element over graded meshes and discontinuous Galerkin method with variable time step. Finally, several examples show that the proposed method is efficient and reliable.
ISSN:0029-599X
0945-3245
DOI:10.1007/s00211-006-0677-y