Journal
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
Volume 21, Issue 1, Pages 169-213Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218202511005039
Keywords
Domain decomposition; linear elasticity; poroelasticity; discontinuous Galerkin; mortar finite elements; interface problem
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Funding
- Oden Fellowship
- CSM at The University of Texas at Austin
- ICES
- DOE [DE-FGO2-04ER25617]
- NSF-CDI [DMS0835745]
- King Abdullah University of Science and Technology (KAUST) [AEA-UTA08-687]
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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.
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