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Galerkin‐type space‐time finite elements for volumetrically coupled problems
Author(s) -
Steeb Holger,
Diebels Stefan,
Ehlers Wolfgang
Publication year - 2003
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200310117
Subject(s) - galerkin method , flexibility (engineering) , space time , scheme (mathematics) , space (punctuation) , measure (data warehouse) , mathematical optimization , discontinuous galerkin method , finite element method , type (biology) , dual (grammatical number) , mathematics , computer science , spacetime , mathematical analysis , physics , engineering , art , ecology , statistics , literature , database , chemical engineering , biology , thermodynamics , operating system , quantum mechanics
The study focuses on error estimation techniques for a coupled problem with two constituents based on the Theory of Porous Media. After developing space‐time finite elements for this mixed problem, we extend the numerical scheme to a coupled space‐time adaptive strategy. Therefore, an adjoint or dual problem is formulated and discussed, which is solved lateron numerically. One advantage of the presented technique is the high flexibility of the error indicator with respect to the error measure.