DOMAIN DECOMPOSITION FOR POROELASTICITY AND ELASTICITY WITH DG JUMPS AND MORTARS

V. GIRAULT, G. PENCHEVA, M. F. WHEELER, T. WILDEY

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22 Scopus citations

Abstract

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.
Original languageEnglish (US)
Pages (from-to)169-213
Number of pages45
JournalMathematical Models and Methods in Applied Sciences
Volume21
Issue number01
DOIs
StatePublished - Jan 2011
Externally publishedYes

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