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HIGH ORDER DISCONTINUOUS GALERKIN METHODS FOR 1D PARABOLIC EQUATIONS

Izmirlioglu, Ahmet (2009) HIGH ORDER DISCONTINUOUS GALERKIN METHODS FOR 1D PARABOLIC EQUATIONS. Master's Thesis, University of Pittsburgh. (Unpublished)

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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Status: Unpublished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:
CreatorsEmailPitt UsernameORCID
Izmirlioglu, Ahmetahist1@pitt.eduAHIST1
ETD Committee:
TitleMemberEmail AddressPitt UsernameORCID
Committee ChairRiviere, Beatriceriviere@caam.rice.edu
Committee MemberVainchtein, Annaaav4@pitt.eduAAV4
Committee MemberSwigon, Davidswigon@pitt.eduSWIGON
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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