A Flexible Galerkin Finite Element Method with an A Posteriori Discontinuous Finite Element Error Estimation for Hyperbolic Problems

dc.contributor.authorMassey, Thomas Christopheren
dc.contributor.committeechairAdjerid, Slimaneen
dc.contributor.committeememberJohnson, Lee W.en
dc.contributor.committeememberBeattie, Christopher A.en
dc.contributor.committeememberBorggaard, Jeffrey T.en
dc.contributor.committeememberRogers, Robert C.en
dc.contributor.departmentMathematicsen
dc.date.accessioned2014-03-14T20:13:50Zen
dc.date.adate2002-07-15en
dc.date.available2014-03-14T20:13:50Zen
dc.date.issued2002-07-03en
dc.date.rdate2003-07-15en
dc.date.sdate2002-07-10en
dc.description.abstractA Flexible Galerkin Finite Element Method (FGM) is a hybrid class of finite element methods that combine the usual continuous Galerkin method with the now popular discontinuous Galerkin method (DGM). A detailed description of the formulation of the FGM on a hyperbolic partial differential equation, as well as the data structures used in the FGM algorithm is presented. Some hp-convergence results and computational cost are included. Additionally, an a posteriori error estimate for the DGM applied to a two-dimensional hyperbolic partial differential equation is constructed. Several examples, both linear and nonlinear, indicating the effectiveness of the error estimate are included.en
dc.description.degreePh. D.en
dc.identifier.otheretd-07102002-142105en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-07102002-142105/en
dc.identifier.urihttp://hdl.handle.net/10919/28245en
dc.publisherVirginia Techen
dc.relation.haspartmain.pdfen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjecta posteriori error estimationen
dc.subjectfinite elementsen
dc.subjectflexible discontinuous Galerkinen
dc.subjecthyperbolic partial differential equationsen
dc.titleA Flexible Galerkin Finite Element Method with an A Posteriori Discontinuous Finite Element Error Estimation for Hyperbolic Problemsen
dc.typeDissertationen
thesis.degree.disciplineMathematicsen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.leveldoctoralen
thesis.degree.namePh. D.en
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