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A time‐discontinuous Galerkin method for the dynamical analysis of porous media
Author(s) -
Chen Zhiyun,
Steeb Holger,
Diebels Stefan
Publication year - 2006
Publication title -
international journal for numerical and analytical methods in geomechanics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.419
H-Index - 91
eISSN - 1096-9853
pISSN - 0363-9061
DOI - 10.1002/nag.516
Subject(s) - discontinuous galerkin method , discretization , finite element method , galerkin method , porous medium , basis function , space time , interval (graph theory) , mathematics , mathematical analysis , porosity , engineering , geotechnical engineering , structural engineering , combinatorics , chemical engineering
We present a time‐discontinuous Galerkin method (DGT) for the dynamic analysis of fully saturated porous media. The numerical method consists of a finite element discretization in space and time. The discrete basis functions are continuous in space and discontinuous in time. The continuity across the time interval is weakly enforced by a flux function. Two applications and several numerical investigations confirm the quality of the proposed space–time finite element scheme. Copyright © 2006 John Wiley & Sons, Ltd.