Journal
NUMERISCHE MATHEMATIK
Volume 121, Issue 1, Pages 165-204Publisher
SPRINGER HEIDELBERG
DOI: 10.1007/s00211-011-0427-7
Keywords
-
Categories
Funding
- 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
Ask authors/readers for more resources
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.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available