DOMAIN DECOMPOSITION FOR POROELASTICITY AND ELASTICITY WITH DG JUMPS AND MORTARS

Handle URI:
http://hdl.handle.net/10754/598007
Title:
DOMAIN DECOMPOSITION FOR POROELASTICITY AND ELASTICITY WITH DG JUMPS AND MORTARS
Authors:
GIRAULT, V.; PENCHEVA, G.; WHEELER, M. F.; WILDEY, T.
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.
Citation:
GIRAULT V, PENCHEVA G, WHEELER MF, WILDEY T (2011) DOMAIN DECOMPOSITION FOR POROELASTICITY AND ELASTICITY WITH DG JUMPS AND MORTARS. Mathematical Models and Methods in Applied Sciences 21: 169–213. Available: http://dx.doi.org/10.1142/S0218202511005039.
Publisher:
World Scientific Pub Co Pte Lt
Journal:
Mathematical Models and Methods in Applied Sciences
KAUST Grant Number:
AEA-UTA08-687
Issue Date:
Jan-2011
DOI:
10.1142/S0218202511005039
Type:
Article
ISSN:
0218-2025; 1793-6314
Sponsors:
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.
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Full metadata record

DC FieldValue Language
dc.contributor.authorGIRAULT, V.en
dc.contributor.authorPENCHEVA, G.en
dc.contributor.authorWHEELER, M. F.en
dc.contributor.authorWILDEY, T.en
dc.date.accessioned2016-02-25T13:10:51Zen
dc.date.available2016-02-25T13:10:51Zen
dc.date.issued2011-01en
dc.identifier.citationGIRAULT V, PENCHEVA G, WHEELER MF, WILDEY T (2011) DOMAIN DECOMPOSITION FOR POROELASTICITY AND ELASTICITY WITH DG JUMPS AND MORTARS. Mathematical Models and Methods in Applied Sciences 21: 169–213. Available: http://dx.doi.org/10.1142/S0218202511005039.en
dc.identifier.issn0218-2025en
dc.identifier.issn1793-6314en
dc.identifier.doi10.1142/S0218202511005039en
dc.identifier.urihttp://hdl.handle.net/10754/598007en
dc.description.abstractWe 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.en
dc.description.sponsorshipThe 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.en
dc.publisherWorld Scientific Pub Co Pte Lten
dc.subjectdiscontinuous Galerkinen
dc.subjectDomain decompositionen
dc.subjectinterface problemen
dc.subjectlinear elasticityen
dc.subjectmortar finite elementsen
dc.subjectporoelasticityen
dc.titleDOMAIN DECOMPOSITION FOR POROELASTICITY AND ELASTICITY WITH DG JUMPS AND MORTARSen
dc.typeArticleen
dc.identifier.journalMathematical Models and Methods in Applied Sciencesen
dc.contributor.institutionUniversite Pierre et Marie Curie, Paris, Franceen
dc.contributor.institutionTexas A and M University, College Station, United Statesen
dc.contributor.institutionUniversity of Texas at Austin, Austin, United Statesen
kaust.grant.numberAEA-UTA08-687en
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