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The conformal perfectly matched layer for electrically large curvilinear higher order finite element methods in electromagnetics

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dc.contributor.authorSmull, Aaron P., author
dc.contributor.authorNotaros, Branislav, advisor
dc.contributor.authorPezeshki, Ali, committee member
dc.contributor.authorEstep, Donald, committee member
dc.date.accessioned2017-09-14T16:06:28Z
dc.date.available2018-09-12T16:04:38Z
dc.date.issued2017
dc.description.abstractThe implementation of open-region boundary conditions in computational electromagnetics for higher order finite element methods presents a well known set of challenges. One such boundary condition is known as the perfectly matched layer. In this thesis, the generation of perfectly matched layers for arbitrary convex geometric hexahedral meshes is discussed, using a method that can be implemented without differential operator based absorbing boundary conditions or coupling to boundary integral equations. A method for automated perfectly matched layer element generation is presented, with geometries based on surface projections from a convex mesh. Material parameters are generated via concepts from transformation electromagnetics, from complex-coordinate transformation based conformal PML's in existing literature. A material parameter correction algorithm is also presented, based on a modified gradient descent optimization algorithm Numerical results are presented with comparison to analytical results and commercial software, with studies on the effects of discretization error of the effectiveness of the perfectly matched layer. Good agreement is found between simulated and analytical results, and between simulated results and commercial software.
dc.format.mediumborn digital
dc.format.mediummasters theses
dc.identifierSmull_colostate_0053N_14396.pdf
dc.identifier.urihttps://hdl.handle.net/10217/184021
dc.languageEnglish
dc.language.isoeng
dc.publisherColorado State University. Libraries
dc.relation.ispartof2000-2019
dc.rightsCopyright and other restrictions may apply. User is responsible for compliance with all applicable laws. For information about copyright law, please see https://libguides.colostate.edu/copyright.
dc.subjectfinite element method
dc.subjectperfectly matched layer
dc.subjectcomputational electromagnetics
dc.subjectscattering
dc.subjectnumerical methods
dc.titleThe conformal perfectly matched layer for electrically large curvilinear higher order finite element methods in electromagnetics
dc.typeText
dcterms.embargo.expires2018-09-12
dcterms.embargo.terms2018-09-12
dcterms.rights.dplaThis Item is protected by copyright and/or related rights (https://rightsstatements.org/vocab/InC/1.0/). You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s).
thesis.degree.disciplineElectrical and Computer Engineering
thesis.degree.grantorColorado State University
thesis.degree.levelMasters
thesis.degree.nameMaster of Science (M.S.)

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