DOMAIN DECOMPOSITION FOR POROELASTICITY AND ELASTICITY WITH DG JUMPS AND MORTARS

Type
Article

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

KAUST Grant Number
AEA-UTA08-687

Date
2011-01

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.

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.

Publisher
World Scientific Pub Co Pte Lt

Journal
Mathematical Models and Methods in Applied Sciences

DOI
10.1142/S0218202511005039

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