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Space‐time DG Method for Porous Media
Author(s) -
Chen Zhiyun,
Steeb Holger,
Diebels Stefan
Publication year - 2005
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200510169
Subject(s) - ansatz , discretization , discontinuous galerkin method , porous medium , finite element method , space time , galerkin method , space (punctuation) , slab , mathematics , work (physics) , spacetime , mathematical analysis , computer science , physics , porosity , materials science , mathematical physics , engineering , thermodynamics , composite material , quantum mechanics , chemical engineering , geophysics , operating system
In this work we present a new coupled space‐time discontinuous Galerkin method for the dynamical analysis of fully‐saturated porous media. The method consists of a finite element discretization in space and time simultaneously. The numerical solution is solved on every time‐slab ( Q n = Ω × ℐ n ), which is in analogy to classical finite difference methods in time. The method is stable and efficient. The computational accuracy can be easily raised by increasing the order of the ansatz functions. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)