Izmirlioglu, Ahmet
(2009)
HIGH ORDER DISCONTINUOUS GALERKIN METHODS FOR 1D PARABOLIC EQUATIONS.
Master's Thesis, University of Pittsburgh.
(Unpublished)
Abstract
Development of accurate and efficient numerical methods is an important task for many research areas. This work presents the numerical study of the Discontinuous Galerkin Finite Element (DG) methods in space and various ODE solvers in time applied to 1D parabolic equation. In particular, we study the numerical convergence and computational efficiency of the Backward Euler (BE) in time and high order DG in space methods vs. the numerical convergence and the computational efficiency of the DG in time and space methods.
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Details
Item Type: |
University of Pittsburgh ETD
|
Status: |
Unpublished |
Creators/Authors: |
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ETD Committee: |
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Date: |
5 June 2009 |
Date Type: |
Completion |
Defense Date: |
8 May 2008 |
Approval Date: |
5 June 2009 |
Submission Date: |
24 April 2009 |
Access Restriction: |
No restriction; Release the ETD for access worldwide immediately. |
Institution: |
University of Pittsburgh |
Schools and Programs: |
Dietrich School of Arts and Sciences > Mathematics |
Degree: |
MS - Master of Science |
Thesis Type: |
Master's Thesis |
Refereed: |
Yes |
Uncontrolled Keywords: |
Backward Euler; DG in time; Discontinuous Galerkin; Numerical methods; Parabolic equation |
Other ID: |
http://etd.library.pitt.edu/ETD/available/etd-04242009-014821/, etd-04242009-014821 |
Date Deposited: |
10 Nov 2011 19:42 |
Last Modified: |
15 Nov 2016 13:42 |
URI: |
http://d-scholarship.pitt.edu/id/eprint/7608 |
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