DOMAIN DECOMPOSITION FOR POROELASTICITY AND ELASTICITY WITH DG JUMPS AND MORTARS

Citation data:

Mathematical Models and Methods in Applied Sciences, ISSN: 0218-2025, Vol: 21, Issue: 01, Page: 169-213

Publication Year:
2011
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Repository URL:
http://hdl.handle.net/10754/598007
DOI:
10.1142/s0218202511005039
Author(s):
V. GIRAULT ; G. PENCHEVA ; M. F. WHEELER ; T. WILDEY
Publisher(s):
World Scientific Pub Co Pte Lt; World Scientific Publishing Company
Tags:
Mathematics; discontinuous Galerkin; Domain decomposition; interface problem; linear elasticity; mortar finite elements; poroelasticity
article description
We couple a time-dependent poroelastic model in a region with an elastic model in adjacent regions. We discretize each model independently on non-matching grids and we realize a domain decomposition on the interface between the regions by introducing DG jumps and mortars. The unknowns are condensed on the interface, so that at each time step, the computation in each subdomain can be performed in parallel. In addition, by extrapolating the displacement, we present an algorithm where the computations of the pressure and displacement are decoupled. We show that the matrix of the interface problem is positive definite and establish error estimates for this scheme. © 2011 World Scientific Publishing Company.