Journal
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
Volume 195, Issue 25-28, Pages 3347-3381Publisher
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2005.06.018
Keywords
discontinuous Galerkin method; Darcy flow; mixed method; stabilized method; patch test; mass balance; finite elements; error estimates
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A new mixed, stabilized, discontinuous Galerkin formulation for Darcy flow is presented. The formulation combines several attributes not simultaneously satisfied by other methods: It is convergent for any combination of velocity and pressure interpolation higher than first-order, it exactly satisfies a mass balance on each element, and it passes two- and three-dimensional constant-flow patch tests for distorted element geometries. The key ingredient in the formulation is a volumetric, residual-based, stabilization term that does not involve any mesh-dependent parameters. (c) 2005 Elsevier B.V. All rights reserved.
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