H-matrix preconditioning for the time-harmonic electromagnetic discontinuous Galerkin method
dc.contributor.author | Bagherli, Hamidreza | |
dc.contributor.examiningcommittee | Okhmatovski, Vladimir (Electrical and Computer Engineering) Morrison, Jason (Biosystems Engineering) | en_US |
dc.contributor.supervisor | Jeffrey, Ian (Electrical and Computer Engineering) | en_US |
dc.date.accessioned | 2018-09-24T19:04:16Z | |
dc.date.available | 2018-09-24T19:04:16Z | |
dc.date.issued | 2018-08 | en_US |
dc.date.submitted | 2018-08-27T15:59:43Z | en |
dc.date.submitted | 2018-09-20T21:07:34Z | en |
dc.date.submitted | 2018-09-24T18:49:48Z | en |
dc.degree.discipline | Electrical and Computer Engineering | en_US |
dc.degree.level | Master of Science (M.Sc.) | en_US |
dc.description.abstract | Hierarchical matrices, or H-matrices are an error-controllable framework that permit efficient inversion and decomposition of matrices arising in time-harmonic electromagnetics applications. This work evaluates the capabilities of H-matrices for preconditioning iterative solutions to the time-harmonic discontinuous Galerkin method. Particular focus is given to exact radiating boundary conditions in the discontinuous Galerkin formulation. In order to ensure a deep understanding of H-matrix theory and operations, an H-matrix framework has been developed. Performance of H-LU decompositions as error-controllable preconditioners is demonstrated, showing the desired time, memory, and accuracy scaling. | en_US |
dc.description.note | October 2018 | en_US |
dc.identifier.uri | http://hdl.handle.net/1993/33464 | |
dc.language.iso | eng | en_US |
dc.rights | open access | en_US |
dc.subject | Galerkin method | en_US |
dc.subject | H-matrix | en_US |
dc.subject | Matrix decomposition | en_US |
dc.subject | Acceleration | en_US |
dc.subject | Electromagnetic scattering | en_US |
dc.subject | Preconditioning | en_US |
dc.title | H-matrix preconditioning for the time-harmonic electromagnetic discontinuous Galerkin method | en_US |
dc.type | master thesis | en_US |