A Flexible Galerkin Finite Element Method with an A Posteriori Discontinuous Finite Element Error Estimation for Hyperbolic Problems
dc.contributor.author | Massey, Thomas Christopher | en |
dc.contributor.committeechair | Adjerid, Slimane | en |
dc.contributor.committeemember | Johnson, Lee W. | en |
dc.contributor.committeemember | Beattie, Christopher A. | en |
dc.contributor.committeemember | Borggaard, Jeffrey T. | en |
dc.contributor.committeemember | Rogers, Robert C. | en |
dc.contributor.department | Mathematics | en |
dc.date.accessioned | 2014-03-14T20:13:50Z | en |
dc.date.adate | 2002-07-15 | en |
dc.date.available | 2014-03-14T20:13:50Z | en |
dc.date.issued | 2002-07-03 | en |
dc.date.rdate | 2003-07-15 | en |
dc.date.sdate | 2002-07-10 | en |
dc.description.abstract | A 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.degree | Ph. D. | en |
dc.identifier.other | etd-07102002-142105 | en |
dc.identifier.sourceurl | http://scholar.lib.vt.edu/theses/available/etd-07102002-142105/ | en |
dc.identifier.uri | http://hdl.handle.net/10919/28245 | en |
dc.publisher | Virginia Tech | en |
dc.relation.haspart | main.pdf | en |
dc.rights | In Copyright | en |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | en |
dc.subject | a posteriori error estimation | en |
dc.subject | finite elements | en |
dc.subject | flexible discontinuous Galerkin | en |
dc.subject | hyperbolic partial differential equations | en |
dc.title | A Flexible Galerkin Finite Element Method with an A Posteriori Discontinuous Finite Element Error Estimation for Hyperbolic Problems | en |
dc.type | Dissertation | en |
thesis.degree.discipline | Mathematics | en |
thesis.degree.grantor | Virginia Polytechnic Institute and State University | en |
thesis.degree.level | doctoral | en |
thesis.degree.name | Ph. D. | en |
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