Date of Award

Summer 2010

Document Type

Dissertation

Degree Name

Doctor of Philosophy (PhD)

Department

Mathematics and Statistics

Program/Concentration

Computational and Applied Mathematics

Committee Director

Richard Noren

Committee Member

Hideaki Kaneko

Committee Member

Jin Wang

Committee Member

Dimitrie C. Popescu

Abstract

A numerical method to solve the parabolic problem is developed that utilizes the Discontinuous Galerkin Method for space and time discretization. A multilevel method is employed in the space variable. It is shown that use of this process yields the same level of accuracy as the standard Discontinuous Galerkin Method for the heat equation, but with cheaper computational cost. The results are demonstrated using a standard one-dimensional homogeneous heat problem.

DOI

10.25777/5hss-xb28

ISBN

9781124291796

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