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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 3347-3381 |
| Number of pages | 35 |
| Journal | Computer Methods in Applied Mechanics and Engineering |
| Volume | 195 |
| Issue number | 25-28 |
| DOIs | |
| State | Published - May 1 2006 |
| Externally published | Yes |
Keywords
- Darcy flow
- Discontinuous Galerkin method
- Error estimates
- Finite elements
- Mass balance
- Mixed method
- Patch test
- Stabilized method
ASJC Scopus subject areas
- Computational Mechanics
- Mechanics of Materials
- Mechanical Engineering
- General Physics and Astronomy
- Computer Science Applications
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