Finite element approximations of Burgers' equation

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dc.contributor.authorPugh, Steven M.en
dc.contributor.committeechairBurns, John A.en
dc.contributor.committeememberCliff, Eugene M.en
dc.contributor.committeememberHerdman, Terry L.en
dc.contributor.departmentMathematicsen
dc.date.accessioned2014-03-14T20:49:00Zen
dc.date.adate2009-12-05en
dc.date.available2014-03-14T20:49:00Zen
dc.date.issued1995-09-01en
dc.date.rdate2009-12-05en
dc.date.sdate2009-12-05en
dc.description.abstractThis work is a numerical study of Burgers' equation with Neumann boundary conditions. The goal is to determine the long term behavior of solutions. We develop and test two separate finite element and Galerkin schemes and then use those schemes to compute the response to various initial conditions and Reynolds numbers. It is known that for sufficiently small initial data, all steady state solutions of Burgers' equation with Neumann boundary conditions are constant. The goal here is to investigate the case where initial data is large. Our numerical results indicate that for certain initial data the solution of Burgers' equation can approach non-constant functions as time goes to infinity. In addition, the numerical results raise some interesting questions about steady state solutions of nonlinear systems.en
dc.description.degreeMaster of Scienceen
dc.format.extentvii, 77 leavesen
dc.format.mediumBTDen
dc.format.mimetypeapplication/pdfen
dc.identifier.otheretd-12052009-020403en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-12052009-020403/en
dc.identifier.urihttp://hdl.handle.net/10919/35977en
dc.language.isoenen
dc.publisherVirginia Techen
dc.relation.haspartLD5655.V855_1995.P844.pdfen
dc.relation.isformatofOCLC# 34185512en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectfinite elementsen
dc.subjectBurgers equationen
dc.subject.lccLD5655.V855 1995.P844en
dc.titleFinite element approximations of Burgers' equationen
dc.typeThesisen
dc.type.dcmitypeTexten
thesis.degree.disciplineMathematicsen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.levelmastersen
thesis.degree.nameMaster of Scienceen

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