期刊
NUMERISCHE MATHEMATIK
卷 121, 期 1, 页码 165-204出版社
SPRINGER HEIDELBERG
DOI: 10.1007/s00211-011-0427-7
关键词
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资金
- NSF-CDI [DMS 0835745]
- DOE [DE-FG02-04ER25617, DE-FG02-04ER25618]
- Center for Frontiers of Subsurface Energy Security [DE-SC0001114]
- NSF [DMS 0813901]
- ICES, The University of Texas at Austin
- [KUS-F1-032-04]
- Division Of Mathematical Sciences
- Direct For Mathematical & Physical Scien [1115856] Funding Source: National Science Foundation
In this paper, we develop a new mixed finite element method for elliptic problems on general quadrilateral and hexahedral grids that reduces to a cell-centered finite difference scheme. A special non-symmetric quadrature rule is employed that yields a positive definite cell-centered system for the pressure by eliminating local velocities. The method is shown to be accurate on highly distorted rough quadrilateral and hexahedral grids, including hexahedra with non-planar faces. Theoretical and numerical results indicate first-order convergence for the pressure and face fluxes.
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