A survey of discontinuous Galerkin methods for solving the time domain Maxwell's equations

Simple item page
dc.contributor.advisorWarburton, Timen_US
dc.creatorBinford, Tommy L., Jr.en_US
dc.date.accessioned2018-12-03T18:32:51Zen_US
dc.date.available2018-12-03T18:32:51Zen_US
dc.date.issued2006en_US
dc.description.abstractThe discontinuous Galerkin (DG) method with different numerical fluxes is applied to the square wave guide problem to avoid spurious modes that arise from the application of standard finite element methods. These numerical fluxes are the central, upwind and Lax-Friedrichs found in the literature. A new scheme, called penalty DG, is presented. Each scheme is tested with and without a locally divergence-free basis for the magnetic field. The spectral properties of the DG spatial discretization matrix for each flux are surmised by considering three different meshes and example eigenvalue plots. The convergence rate of the first ten eigenvalues is observed for h - and p -refinements. The central flux scheme is determined to be a poor choice for problems involving Maxwell's equations. It is proved that the kernel is empty for the DG spatial discretization matrix corresponding to the Lax-Friedrichs divergence-free scheme.en_US
dc.format.extent87 ppen_US
dc.identifier.callnoTHESIS MATH.SCI. 2007 BINFORDen_US
dc.identifier.citationBinford, Tommy L., Jr.. "A survey of discontinuous Galerkin methods for solving the time domain Maxwell's equations." (2006) Master’s Thesis, Rice University. <a href="https://hdl.handle.net/1911/103704">https://hdl.handle.net/1911/103704</a>.en_US
dc.identifier.digital305274055en_US
dc.identifier.urihttps://hdl.handle.net/1911/103704en_US
dc.language.isoengen_US
dc.rightsCopyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.en_US
dc.subjectMathematicsen_US
dc.subjectPure sciencesen_US
dc.titleA survey of discontinuous Galerkin methods for solving the time domain Maxwell's equationsen_US
dc.typeThesisen_US
dc.type.materialTexten_US
thesis.degree.departmentMathematical Sciencesen_US
thesis.degree.disciplineEngineeringen_US
thesis.degree.grantorRice Universityen_US
thesis.degree.levelMastersen_US
thesis.degree.nameMaster of Artsen_US
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
305274055.pdf
Size:
1.6 MB
Format:
Adobe Portable Document Format
Download
Collections
Rice University Theses and Dissertations