Date of Award
8-2014
Document Type
Thesis
Degree Name
Master of Science (MS)
Legacy Department
Mathematics
Committee Chair/Advisor
Ervin, Vincent J.
Committee Member
Jenkins , Lea
Committee Member
Rebholz , Leo G.
Abstract
The \(H_{div}\) vector space arises in a number of mixed method formulations, particularly in fluid flow through a porous medium. First we present a Lagrangian computational basis for the Raviert-Thomas (\(RT\)) and Brezzi-Douglas-Marini (\(BDM\)) approximation subspaces of \(H_{div}\) in \(\mathbb{R}^{3}\). Second, we offer three solutions to a numerical problem that arises from the Piola mapping when \(RT\) and \(BDM\) elements are used in practice.
Recommended Citation
Bentley, Alistair, "Computational Bases for Hdiv" (2014). All Theses. 1867.
https://open.clemson.edu/all_theses/1867