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Dynamic analysis of porous materials: Numerical modeling with a space‐time FEM
Author(s) -
Chen Z.,
Steeb H.,
Diebels S.
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200700289
Subject(s) - finite element method , porous medium , constraint (computer aided design) , discontinuous galerkin method , galerkin method , space time , porosity , mathematics , space (punctuation) , mathematical analysis , flux (metallurgy) , mechanics , penalty method , work (physics) , spacetime , mathematical optimization , computer science , physics , materials science , engineering , structural engineering , geometry , mechanical engineering , geotechnical engineering , chemical engineering , operating system , quantum mechanics , metallurgy
In the current work, we investigate the dynamic analysis of a two‐phase porous material using the space‐time discontinuous Galerkin method. The physical model is based on the Theory of Porous Media (TPM). The finite element approximation consists of continuous approximations in space but discontinuous ones in time. The continuity condition between the adjacent time intervals is weakly enforced by the upwind flux treatment. No artificial penalty function is involved. Moreover, the Embedded Velocity Integration technique is applied to reduce the second‐order equation in time into a first order one without introducing an additional constraint. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)