Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
500140 | Computer Methods in Applied Mechanics and Engineering | 2006 | 14 Pages |
Abstract
Recently Masud and Hughes proposed a stabilized mixed finite element formulation for Darcy flow. An interesting feature of this formulation is that there are no mesh-dependent parameters. In the present work we provide a derivation of this formulation based on a multiscale decomposition of the solution. We also extend the work of Masud and Hughes to three-dimensional problems and show the convergence rates for various three-dimensional finite elements. We also show that this formulation passes three-dimensional constant-flow patch tests for distorted element geometries (i.e., elements with non-constant Jacobian). Robustness of this formulation is illustrated by performing numerical simulations on complex geometries.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
K.B. Nakshatrala, D.Z. Turner, K.D. Hjelmstad, A. Masud,