H-matrix preconditioning for the time-harmonic electromagnetic discontinuous Galerkin method

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dc.contributor.authorBagherli, Hamidreza
dc.contributor.examiningcommitteeOkhmatovski, Vladimir (Electrical and Computer Engineering) Morrison, Jason (Biosystems Engineering)en_US
dc.contributor.supervisorJeffrey, Ian (Electrical and Computer Engineering)en_US
dc.date.accessioned2018-09-24T19:04:16Z
dc.date.available2018-09-24T19:04:16Z
dc.date.issued2018-08en_US
dc.date.submitted2018-08-27T15:59:43Zen
dc.date.submitted2018-09-20T21:07:34Zen
dc.date.submitted2018-09-24T18:49:48Zen
dc.degree.disciplineElectrical and Computer Engineeringen_US
dc.degree.levelMaster of Science (M.Sc.)en_US
dc.description.abstractHierarchical 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.noteOctober 2018en_US
dc.identifier.urihttp://hdl.handle.net/1993/33464
dc.language.isoengen_US
dc.rightsopen accessen_US
dc.subjectGalerkin methoden_US
dc.subjectH-matrixen_US
dc.subjectMatrix decompositionen_US
dc.subjectAccelerationen_US
dc.subjectElectromagnetic scatteringen_US
dc.subjectPreconditioningen_US
dc.titleH-matrix preconditioning for the time-harmonic electromagnetic discontinuous Galerkin methoden_US
dc.typemaster thesisen_US
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