Journal
NUMERISCHE MATHEMATIK
Volume 126, Issue 2, Pages 321-360Publisher
SPRINGER HEIDELBERG
DOI: 10.1007/s00211-013-0563-3
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Funding
- DOE Office of Science Advanced Scientific Computing Research (ASCR) Program in Applied Mathematics
- DOE [DE-FG02-04ER25618]
- NSF [DMS 1115856]
- Division Of Mathematical Sciences
- Direct For Mathematical & Physical Scien [1115856] Funding Source: National Science Foundation
- U.S. Department of Energy (DOE) [DE-FG02-04ER25618] Funding Source: U.S. Department of Energy (DOE)
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We study locally mass conservative approximations of coupled Darcy and Stokes flows on polygonal and polyhedral meshes. The discontinuous Galerkin (DG) finite element method is used in the Stokes region and the mimetic finite difference method is used in the Darcy region. DG finite element spaces are defined on polygonal and polyhedral grids by introducing lifting operators mapping mimetic degrees of freedom to functional spaces. Optimal convergence estimates for the numerical scheme are derived. Results from computational experiments supporting the theory are presented.
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