{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/80846"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/80846","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Fast Higher -Order Solutions for Electromagnetic Scattering From Three -Dimensional Bodies","abstract":"Recent advances in the development of computational methods have made it feasible to obtain fast and accurate solutions for electromagnetic scattering from composite scatterers. The multilevel fast multipole method (MLFMA) is an O(N log N) algorithm used for reducing the computational complexity of integral equation-based methods. Using computers commonly available today, this method can be employed to solve large problems in the range of hundreds of thousands of unknowns. The main focus of this thesis is to develop fast and accurate scattering solutions for composite scatterers. Towards this purpose, the first part of this thesis deals with developing a higher-order MLFMA for solving integral equations based on Galerkin's method. The later part is devoted to developing grid-robust, higher-order MLFMA solutions. The grid-robust basis functions are based on the Lagrange interpolation polynomials, and the resultant integral equations are discretized by using the point-matching technique.","abstract_html":"Recent advances in the development of computational methods have made it feasible to obtain fast and accurate solutions for electromagnetic scattering from composite scatterers. The multilevel fast multipole method (MLFMA) is an O(N log N) algorithm used for reducing the computational complexity of integral equation-based methods. Using computers commonly available today, this method can be employed to solve large problems in the range of hundreds of thousands of unknowns. The main focus of this thesis is to develop fast and accurate scattering solutions for composite scatterers. Towards this purpose, the first part of this thesis deals with developing a higher-order MLFMA for solving integral equations based on Galerkin's method. The later part is devoted to developing grid-robust, higher-order MLFMA solutions. The grid-robust basis functions are based on the Lagrange interpolation polynomials, and the resultant integral equations are discretized by using the point-matching technique.","abstract_has_math":false,"creators":["Donepudi, Kalyan C."],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Electrical Engineering","degree_department":null,"school":null,"contributors":["Jin, Jianming"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2015,"date_issued":"2015-09-25T20:08:27Z","date_published":"2015-09-25T20:08:27Z","updated_at":"2026-07-22T22:26:15Z","subjects":["Engineering, Electronics and Electrical"],"languages":["eng"],"rights":[],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["(MiAaPQ)AAI3102015"],"render_values":[{"text":"(MiAaPQ)AAI3102015","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/80846","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Jin, Jianming"]},{"key":"dc:creator","label":"Author","values":["Donepudi, Kalyan C."]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2015-09-25T20:08:27Z","10000-01-01","2002"]},{"key":"dc:type","label":"Dc Type","values":["text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Electrical Engineering"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Dissertation"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Ph.D."]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["University of Illinois at Urbana-Champaign"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Engineering, Electronics and Electrical"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["eng"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/2142/80846","(MiAaPQ)AAI3102015"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["Recent advances in the development of computational methods have made it feasible to obtain fast and accurate solutions for electromagnetic scattering from composite scatterers. The multilevel fast multipole method (MLFMA) is an O(N log N) algorithm used for reducing the computational complexity of integral equation-based methods. Using computers commonly available today, this method can be employed to solve large problems in the range of hundreds of thousands of unknowns. The main focus of this thesis is to develop fast and accurate scattering solutions for composite scatterers. Towards this purpose, the first part of this thesis deals with developing a higher-order MLFMA for solving integral equations based on Galerkin's method. The later part is devoted to developing grid-robust, higher-order MLFMA solutions. The grid-robust basis functions are based on the Lagrange interpolation polynomials, and the resultant integral equations are discretized by using the point-matching technique.","Made available in DSpace on 2015-09-25T20:08:27Z (GMT). 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The multilevel fast multipole method (MLFMA) is an O(N log N) algorithm used for reducing the computational complexity of integral equation-based methods. Using computers commonly available today, this method can be employed to solve large problems in the range of hundreds of thousands of unknowns. The main focus of this thesis is to develop fast and accurate scattering solutions for composite scatterers. Towards this purpose, the first part of this thesis deals with developing a higher-order MLFMA for solving integral equations based on Galerkin's method. The later part is devoted to developing grid-robust, higher-order MLFMA solutions. The grid-robust basis functions are based on the Lagrange interpolation polynomials, and the resultant integral equations are discretized by using the point-matching technique.","Made available in DSpace on 2015-09-25T20:08:27Z (GMT). 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