Date of Award

8-2014

Document Type

Thesis

Degree Name

Master of Science (MS)

Legacy Department

Mathematics

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.

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