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Dynamic analysis of porous materials: Numerical simulation with an adaptive space‐time FEM
Author(s) -
Chen Z.,
Diebels S.,
Steeb H.
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200700831
Subject(s) - discretization , finite element method , galerkin method , discontinuous galerkin method , space time , consistency (knowledge bases) , porous medium , mathematics , spacetime , computer simulation , space (punctuation) , time domain , numerical analysis , porosity , computer science , mathematical analysis , materials science , physics , engineering , structural engineering , geometry , simulation , quantum mechanics , chemical engineering , computer vision , operating system , composite material
We investigated a space‐time Galerkin method applied to the dynamic analysis of fully‐saturated porous material. The governing set of equations are derived from the well‐studied Theory of Porous Media (TPM). The numerical scheme consists of a coupled finite element discretization in the space‐time domain. Discontinuous approximations of the primary variables in time are employed. A natural flux treatment is applied in time to impose the consistency between the adjacent time intervals. A simple space‐time decoupled adaptive strategy based on the “jumps” in time and the ZZ error indicator in space is investigated. Numerical experiments demonstrate the efficiency and reliability of the proposed approach. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)