DOMAIN DECOMPOSITION FOR POROELASTICITY AND ELASTICITY WITH DG JUMPS AND MORTARS

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

Research output: Contribution to journalArticlepeer-review

30 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

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledged KAUST grant number(s): AEA-UTA08-687
Acknowledgements: The first author was supported by an Oden Fellowship and CSM at The University of Texas at Austin. The fourth author was supported by ICES Postdoctoral Fellowship. All authors were partially supported by the DOE grant DE-FGO2-04ER25617, NSF-CDI grant DMS0835745, and King Abdullah University of Science and Technology (KAUST) AEA-UTA08-687.
This publication acknowledges KAUST support, but has no KAUST affiliated authors.

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