Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
499934 | Computer Methods in Applied Mechanics and Engineering | 2006 | 35 Pages |
Abstract
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.
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Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Thomas J.R. Hughes, Arif Masud, Jing Wan,