{"title":"Zeroth-order divergence-complete discretizations of the EFIE at very low frequencies","authors":"E. Ubeda, J. Tamayo, J. Rius","doi":"10.1109/CEM.2009.5228113","DOIUrl":"https://doi.org/10.1109/CEM.2009.5228113","url":null,"abstract":"We present the self-loop basis functions, an edgeoriented divergence-conforming set with zero charge density. These basis functions allow a rearrangement of the linear-linear basis functions set to overcome the low-frequency breakdown of the electric-field integral equation.","PeriodicalId":416029,"journal":{"name":"2009 Computational Electromagnetics International Workshop","volume":"366 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2009-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123192994","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Overdetermined current and charge integral equations of averaged normalized fields","authors":"M. Taskinen","doi":"10.1109/CEM.2009.5228114","DOIUrl":"https://doi.org/10.1109/CEM.2009.5228114","url":null,"abstract":"Averaged normalized electromagnetic fields are defined on the interfaces of homogeneous domains as weighted averages of the local fields of the domains. A global current and charge surface integral representation having the averaged fields as global unknowns is derived as a direct sum of the local surface integral representations. Stability and accuracy of overdetermined non-square current and charge integral equations are verified with numerical experiments.","PeriodicalId":416029,"journal":{"name":"2009 Computational Electromagnetics International Workshop","volume":"54 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2009-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126685188","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Approximate Schur preconditioners for efficient solutions of dielectric problems formulated with surface integral equations","authors":"T. Malas, L. Gurel","doi":"10.1109/CEM.2009.5228104","DOIUrl":"https://doi.org/10.1109/CEM.2009.5228104","url":null,"abstract":"We propose direct and iterative versions of approximate Schur preconditioners to increase robustness and efficiency of iterative solutions of dielectric problems formulated with surface integral equations. The performance of these preconditioners depends on the availability of fast and approximate solutions to reduced matrix systems. We show that sparse-approximateinverse techniques provide a suitable mechanism for this purpose. The proposed preconditioners are demonstrated to significantly improve convergence rates of dielectric problems formulated with two different surface integral equations.","PeriodicalId":416029,"journal":{"name":"2009 Computational Electromagnetics International Workshop","volume":"163 6 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2009-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125954709","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
F. Vipiana, M. Francavilla, F. Andriulli, P. Pirinoli, G. Vecchi
{"title":"Multi-resolution approach to three-dimensional method-of-moments problems","authors":"F. Vipiana, M. Francavilla, F. Andriulli, P. Pirinoli, G. Vecchi","doi":"10.1109/CEM.2009.5228115","DOIUrl":"https://doi.org/10.1109/CEM.2009.5228115","url":null,"abstract":"Objectives, expectations and difficulties associated to the use of multi-resolution (MR) constructs in integral equation, method of moments (MoM) are reviewed and put in a contemporary perspective. A MR approach is presented that can be applied to any mesh without any constrain on the structure topology. The so-obtained MR basis positively affects the spectrum of the MoM matrix, affording an efficient (multiplicative) preconditioner. The reasons of this are explained in terms of the dual spatial-spectral resolution of the MR basis.","PeriodicalId":416029,"journal":{"name":"2009 Computational Electromagnetics International Workshop","volume":"22 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2009-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126594640","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Three-dimensional electromagnetic scattering from flat plates by using sinc-type basis functions in method of moments","authors":"B. Ozbakis, T. Oğuzer, A. Kuştepeli","doi":"10.1109/CEM.2009.5228106","DOIUrl":"https://doi.org/10.1109/CEM.2009.5228106","url":null,"abstract":"Sinc functions are used in the basis and testing procedures in the conventional method of moments (MoM) formulation. But unlike conventional MoM, simple pointwise meshing is enough and no integral computation is required due to the mathematical properties of the sinc function. The simulation results of surface current densities and radar cross section for a few wavelength square flat plate are obtained by using our own codes. The results are compared with those of the rooftop basis functions. The CPU-time decreases by half of the time of the conventional method. The error that occurs from the approximated integral of the sinc function in the computation of main matrix elements is very small and decreases while the bandwidth of the sinc function increases.","PeriodicalId":416029,"journal":{"name":"2009 Computational Electromagnetics International Workshop","volume":"23 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2009-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133510302","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
K. Cools, I. Bogaert, J. Fostier, J. Peeters, D. De Zutter
{"title":"Design of accurate and efficient boundary-integral-based solvers for the study of electromagnetic scattering","authors":"K. Cools, I. Bogaert, J. Fostier, J. Peeters, D. De Zutter","doi":"10.1109/CEM.2009.5228108","DOIUrl":"https://doi.org/10.1109/CEM.2009.5228108","url":null,"abstract":"In this contribution, the challenges in designing accurate and efficient boundary integral equation based solvers for electromagnetic scattering are discussed. More in particular, the efficiency of the solvers are enhanced using the following techniques: the number of degrees of freedom required to reach a certain accuracy is decreased by choosing accurate discretization schemes, the number of iterations required by iterative solvers is decreased by using Calderón preconditioned equations, the matrix-vector multiplication is accelerated using broad band multi-level fast multipole algorithms, and the computational workload is distributed using parallel paradigms. These techniques will be elucidated and demonstrated on test cases. Finally, larger and real live results will be presented in which the above mentioned techniques are combined.","PeriodicalId":416029,"journal":{"name":"2009 Computational Electromagnetics International Workshop","volume":"18 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2009-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125815828","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}