{"id":{"repo_id":"must-thes","oai_identifier":"oai:scholarsmine.mst.edu:doctoral_dissertations-2675"},"canonical_url":"https://search.dev.ndltd.org/etd/must-thes/oai:scholarsmine.mst.edu:doctoral_dissertations-2675","repository":{"repo_id":"must-thes","name":"Missouri University of Science and Technology","base_url":"https://scholarsmine.mst.edu/do/oai/"},"display":{"title":"On improving the low-frequency performance of full-wave modeling techniques","abstract":"\"The method of moments and the finite element method are very powerful methods for solving electromagnetic problems in the frequency domain. However, the direct application of these techniques at low frequencies results in instability and significant errors. This is due to the divergence operation on the surface current density in the method of moments formulation and the curl operation on the electric field in the finite element formulation. Although this phenomenon has different physical meanings in these two methods, it can be interpreted in the same way in terms of their matrix equations. Both the moment method matrix and the finite element matrix have a singular component that dominates at low frequencies. Thus the problem can be solved in a similar way. This dissertation addresses the low frequency problems in the method of moments and the finite element method. It discusses the physical explanations for both methods and shows the mathematical source of these problems in the matrix formulations...The dissertation also demonstrates that the full-wave moment methods can be used to solve static field problems with the help of LU recombination\"--Abstract, page iv.","abstract_html":""The method of moments and the finite element method are very powerful methods for solving electromagnetic problems in the frequency domain. However, the direct application of these techniques at low frequencies results in instability and significant errors. This is due to the divergence operation on the surface current density in the method of moments formulation and the curl operation on the electric field in the finite element formulation. Although this phenomenon has different physical meanings in these two methods, it can be interpreted in the same way in terms of their matrix equations. Both the moment method matrix and the finite element matrix have a singular component that dominates at low frequencies. Thus the problem can be solved in a similar way. This dissertation addresses the low frequency problems in the method of moments and the finite element method. It discusses the physical explanations for both methods and shows the mathematical source of these problems in the matrix formulations...The dissertation also demonstrates that the full-wave moment methods can be used to solve static field problems with the help of LU recombination"--Abstract, page iv.","abstract_has_math":false,"creators":["Ke, Haixin"],"institution":"University of Missouri--Rolla","degree_name":"Ph. D. in Electrical Engineering","degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2016,"date_issued":"2016-02-10T08:00:00Z","date_published":"2016-02-10T08:00:00Z","updated_at":"2026-07-24T03:19:04Z","subjects":["Electric field integral equation (EFIE)","Electrical and Computer Engineering"],"languages":[],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://scholarsmine.mst.edu/doctoral_dissertations/1673","outbound_label":"Repository record","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["Ke, Haixin"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.available","label":"Dc Date Available","values":["2016-02-10T08:00:00Z"]},{"key":"dc:type","label":"Dc Type","values":["Dissertation - Citation"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Ph. D. in Electrical Engineering"]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["University of Missouri--Rolla"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Electric field integral equation (EFIE)","Electrical and Computer Engineering"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["https://scholarsmine.mst.edu/doctoral_dissertations/1673"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["\"The method of moments and the finite element method are very powerful methods for solving electromagnetic problems in the frequency domain. However, the direct application of these techniques at low frequencies results in instability and significant errors. This is due to the divergence operation on the surface current density in the method of moments formulation and the curl operation on the electric field in the finite element formulation. Although this phenomenon has different physical meanings in these two methods, it can be interpreted in the same way in terms of their matrix equations. Both the moment method matrix and the finite element matrix have a singular component that dominates at low frequencies. Thus the problem can be solved in a similar way. This dissertation addresses the low frequency problems in the method of moments and the finite element method. It discusses the physical explanations for both methods and shows the mathematical source of these problems in the matrix formulations...The dissertation also demonstrates that the full-wave moment methods can be used to solve static field problems with the help of LU recombination\"--Abstract, page iv."]},{"key":"dc:title","label":"Title","values":["On improving the low-frequency performance of full-wave modeling techniques"]}]}],"canonical_facts":{"dc:creator":["Ke, Haixin"],"dc:date.available":["2016-02-10T08:00:00Z"],"dc:description.abstract":["\"The method of moments and the finite element method are very powerful methods for solving electromagnetic problems in the frequency domain. However, the direct application of these techniques at low frequencies results in instability and significant errors. This is due to the divergence operation on the surface current density in the method of moments formulation and the curl operation on the electric field in the finite element formulation. Although this phenomenon has different physical meanings in these two methods, it can be interpreted in the same way in terms of their matrix equations. Both the moment method matrix and the finite element matrix have a singular component that dominates at low frequencies. Thus the problem can be solved in a similar way. This dissertation addresses the low frequency problems in the method of moments and the finite element method. It discusses the physical explanations for both methods and shows the mathematical source of these problems in the matrix formulations...The dissertation also demonstrates that the full-wave moment methods can be used to solve static field problems with the help of LU recombination\"--Abstract, page iv."],"dc:identifier":["https://scholarsmine.mst.edu/doctoral_dissertations/1673"],"dc:subject":["Electric field integral equation (EFIE)","Electrical and Computer Engineering"],"dc:title":["On improving the low-frequency performance of full-wave modeling techniques"],"dc:type":["Dissertation - Citation"],"thesis:degree_name":["Ph. D. in Electrical Engineering"],"thesis:institution_name":["University of Missouri--Rolla"]},"updated_at":"2026-07-24T03:19:04Z"}