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Media type:
E-Article
Title:
AN OPTIMAL ADAPTIVE MIXED FINITE ELEMENT METHOD
Contributor:
CARSTENSEN, CARSTEN;
RABUS, HELLA
Published:
American Mathematical Society, 2011
Published in:
Mathematics of Computation, 80 (2011) 274, Seite 649-667
Language:
English
DOI:
10.1090/S0025-5718-2010-02397-X
ISSN:
0025-5718;
1088-6842
Origination:
Footnote:
Description:
Various applications in fluid dynamics and computational continuum mechanics motivate the development of reliable and efficient adaptive algorithms for mixed finite element methods. In order to save degrees of freedom, not all but just a selection of finite element domains are refined. Hence the fundamental question of convergence as well as the question of optimality require new mathematical arguments. The presented adaptive algorithm for Raviart-Thomas mixed finite element methods solves the Poisson model problem, with optimal convergence rate.