Iterative Coupling of Variational Space-Time Methods for Biot’s System of Poroelasticity

  • Markus BauseEmail author
  • Uwe Köcher
Conference paper
Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 112)


In this work we present an iterative coupling scheme for the quasi-static Biot system of poroelasticity. For the discretization of the subproblems describing mechanical deformation and single-phase flow space-time finite element methods based on a discontinuous Galerkin approximation of the time variable are used. The spatial approximation of the flow problem is done by mixed finite element methods. The stability of the approach is illustrated by numerical experiments. The presented variational space-time framework is of higher order accuracy such that problems with high fluctuations become feasible. Moreover, it offers promising potential for the simulation of the fully dynamic Biot–Allard system coupling an elastic wave equation for solid’s deformation with single-phase flow for fluid infiltration.


Mixed Finite Element Finite Element Space Mixed Finite Element Method Fixed Point Iteration Time Discretization Scheme 
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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  1. 1.Helmut Schmidt UniversityHamburgGermany

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