Arbogast, Todd James, 1957-1662561402008-08-282017-05-112008-08-282017-05-112007http://hdl.handle.net/2152/2929textelectronicengCopyright is held by the author. Presentation of this material on the Libraries' web site by University Libraries, The University of Texas at Austin was made possible under a limited license grant from the author who has retained all copyrights in the works.Porous materials--Mathematical modelsMultigrid methods (Numerical analysis)Finite element methodFluid dynamics--Mathematical modelsDarcy's lawStokes equationsA three dimensional finite element method and multigrid solver for a Darcy-Stokes system and applications to vuggy porous mediaThesis