Forward backward domain decomposition method for finite element solution of electromagnetic boundary value problems
We introduce the forward–backward domain decomposition method (FB‐DDM), which is basically an improved version of the classical alternating Schwarz method with overlapping subdomains, for electromagnetic boundary value problems. The proposed method is noniterative in some cases involving smooth geom...
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| Veröffentlicht in: | Microwave and optical technology letters Jg. 49; H. 10; S. 2582 - 2590 |
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| Abstract | We introduce the forward–backward domain decomposition method (FB‐DDM), which is basically an improved version of the classical alternating Schwarz method with overlapping subdomains, for electromagnetic boundary value problems. The proposed method is noniterative in some cases involving smooth geometries, or it usually converges in a few iterations in other cases involving challenging geometries, via the utilization of the locally‐conformal PML method. We report some numerical results for two‐dimensional electromagnetic scattering problems. © 2007 Wiley Periodicals, Inc. Microwave Opt Technol Lett 49: 2582–2590, 2007; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.22757 |
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| AbstractList | We introduce the forward–backward domain decomposition method (FB‐DDM), which is basically an improved version of the classical alternating Schwarz method with overlapping subdomains, for electromagnetic boundary value problems. The proposed method is noniterative in some cases involving smooth geometries, or it usually converges in a few iterations in other cases involving challenging geometries, via the utilization of the locally‐conformal PML method. We report some numerical results for two‐dimensional electromagnetic scattering problems. © 2007 Wiley Periodicals, Inc. Microwave Opt Technol Lett 49: 2582–2590, 2007; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.22757 We introduce the forward-backward domain decomposition method (FB-DDM), which is basically an improved version of the classical alternating Schwarz method with overlapping subdomains, for electromagnetic boundary value problems. The proposed method is noniterative in some cases involving smooth geometries, or it usually converges in a few iterations in other cases involving challenging geometries, via the utilization of the locally-conformal PML method. We report some numerical results for two-dimensional electromagnetic scattering problems. We introduce the forward-backward domain decomposition method (FB-DDM), which is basically an improved version of the classical alternating Schwarz method with overlapping subdomains, for electromagnetic boundary value problems. The proposed method is noniterative in some cases involving smooth geometries, or it usually converges in a few iterations in other cases involving challenging geometries, via the utilization of the locally-conformal PML method. We report some numerical results for two-dimensional electromagnetic scattering problems. copyright 2007 Wiley Periodicals, Inc. Microwave Opt Technol Lett 49: 2582-2590, 2007; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.22757 |
| Author | Kuzuoglu, Mustafa Ozgun, Ozlem |
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| Cites_doi | 10.1109/8.537332 10.1109/22.618405 10.1016/S0045-7825(97)00014-5 10.1002/mop.21788 10.1002/(SICI)1098-2760(199711)16:4<204::AID-MOP3>3.0.CO;2-P 10.1109/6040.784484 10.1016/j.jcp.2004.08.004 10.1006/jcph.2001.6903 |
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| References | Z. Zhu, H. Ji, and W. Hong, An efficient algorithm for the parametric extraction of 3D interconnect structures in the VLSI circuits: Domain-decomposition method, IEEE Trans Microwave Theory Tech 45 (1997), 1179-1184. F. Collino, G. Delbue, P. Joly, and A. Piacentini, A new interface condition in the non-overlapping domain decomposition methods for the Maxwell equations, Comput Methods Appl Mech Eng 148 (1997), 195-207. B. Stupfel, A fast-domain decomposition method for the solution of electromagnetic scattering by large objects, IEEE Trans Antennas Propaga 44 (1996), 1375-1385. E. Giladi and J.B. Keller, A hybrid numerical asymptotic method for scattering problems, J Comput Phys 174 (2001), 226-247. U. Navsariwala and S.D. Gedney, An efficient implementation of the finite element time-domain algorithms on parallel computers using a finite-element tearing and interconnecting algorithm, Microwave Opt Technol Lett 16 (1997), 204-208. S.-C. Lee, M.N. Vouvakis, and J.-F. Lee, A non-overlapping domain decomposition method with non-matching grids for modeling large finite antenna arrays, J Comput Phys 203 (2005), 1-21. V.V. Veremey and R. Mittra, Efficient computation of interconnect capacitances using the domain decomposition approach, IEEE Trans Adv Pack 22 (1999), 348-355. O. Ozgun and M. Kuzuoglu, Locally-conformal perfectly matched layer implementation for finite element mesh truncation, Microwave Opt Technol Lett 48 (2006), 1836-1839. 1999; 22 1997; 148 1997; 16 1890; 2 2001; 174 2005; 203 1997; 45 1996; 44 2006; 48 e_1_2_1_6_2 e_1_2_1_7_2 e_1_2_1_4_2 e_1_2_1_5_2 e_1_2_1_3_2 e_1_2_1_10_2 Schwarz H. (e_1_2_1_2_2) 1890 e_1_2_1_8_2 e_1_2_1_9_2 |
| References_xml | – reference: O. Ozgun and M. Kuzuoglu, Locally-conformal perfectly matched layer implementation for finite element mesh truncation, Microwave Opt Technol Lett 48 (2006), 1836-1839. – reference: V.V. Veremey and R. Mittra, Efficient computation of interconnect capacitances using the domain decomposition approach, IEEE Trans Adv Pack 22 (1999), 348-355. – reference: B. Stupfel, A fast-domain decomposition method for the solution of electromagnetic scattering by large objects, IEEE Trans Antennas Propaga 44 (1996), 1375-1385. – reference: U. Navsariwala and S.D. Gedney, An efficient implementation of the finite element time-domain algorithms on parallel computers using a finite-element tearing and interconnecting algorithm, Microwave Opt Technol Lett 16 (1997), 204-208. – reference: E. Giladi and J.B. Keller, A hybrid numerical asymptotic method for scattering problems, J Comput Phys 174 (2001), 226-247. – reference: Z. Zhu, H. Ji, and W. Hong, An efficient algorithm for the parametric extraction of 3D interconnect structures in the VLSI circuits: Domain-decomposition method, IEEE Trans Microwave Theory Tech 45 (1997), 1179-1184. – reference: S.-C. Lee, M.N. Vouvakis, and J.-F. Lee, A non-overlapping domain decomposition method with non-matching grids for modeling large finite antenna arrays, J Comput Phys 203 (2005), 1-21. – reference: F. Collino, G. Delbue, P. Joly, and A. Piacentini, A new interface condition in the non-overlapping domain decomposition methods for the Maxwell equations, Comput Methods Appl Mech Eng 148 (1997), 195-207. – volume: 48 start-page: 1836 year: 2006 end-page: 1839 article-title: Locally‐conformal perfectly matched layer implementation for finite element mesh truncation publication-title: Microwave Opt Technol Lett – volume: 22 start-page: 348 year: 1999 end-page: 355 article-title: Efficient computation of interconnect capacitances using the domain decomposition approach publication-title: IEEE Trans Adv Pack – volume: 16 start-page: 204 year: 1997 end-page: 208 article-title: An efficient implementation of the finite element time‐domain algorithms on parallel computers using a finite‐element tearing and interconnecting algorithm publication-title: Microwave Opt Technol Lett – volume: 45 start-page: 1179 year: 1997 end-page: 1184 article-title: An efficient algorithm for the parametric extraction of 3D interconnect structures in the VLSI circuits: Domain‐decomposition method publication-title: IEEE Trans Microwave Theory Tech – volume: 2 start-page: 133 year: 1890 end-page: 143 – volume: 148 start-page: 195 year: 1997 end-page: 207 article-title: A new interface condition in the non‐overlapping domain decomposition methods for the Maxwell equations publication-title: Comput Methods Appl Mech Eng – volume: 44 start-page: 1375 year: 1996 end-page: 1385 article-title: A fast‐domain decomposition method for the solution of electromagnetic scattering by large objects publication-title: IEEE Trans Antennas Propaga – volume: 174 start-page: 226 year: 2001 end-page: 247 article-title: A hybrid numerical asymptotic method for scattering problems publication-title: J Comput Phys – volume: 203 start-page: 1 year: 2005 end-page: 21 article-title: A non‐overlapping domain decomposition method with non‐matching grids for modeling large finite antenna arrays publication-title: J Comput Phys – ident: e_1_2_1_6_2 doi: 10.1109/8.537332 – ident: e_1_2_1_3_2 doi: 10.1109/22.618405 – ident: e_1_2_1_5_2 doi: 10.1016/S0045-7825(97)00014-5 – ident: e_1_2_1_9_2 doi: 10.1002/mop.21788 – ident: e_1_2_1_7_2 doi: 10.1002/(SICI)1098-2760(199711)16:4<204::AID-MOP3>3.0.CO;2-P – start-page: 133 year: 1890 ident: e_1_2_1_2_2 – ident: e_1_2_1_4_2 doi: 10.1109/6040.784484 – ident: e_1_2_1_8_2 doi: 10.1016/j.jcp.2004.08.004 – ident: e_1_2_1_10_2 doi: 10.1006/jcph.2001.6903 |
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| Snippet | We introduce the forward–backward domain decomposition method (FB‐DDM), which is basically an improved version of the classical alternating Schwarz method with... We introduce the forward-backward domain decomposition method (FB-DDM), which is basically an improved version of the classical alternating Schwarz method with... |
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| SubjectTerms | Boundary value problems domain decomposition method (DDM) Domain decomposition methods Electromagnetic scattering Finite element method finite element method (FEM) Mathematical analysis Mathematical models Microwaves perfectly matched layer (PML) Schwarz method Utilization |
| Title | Forward backward domain decomposition method for finite element solution of electromagnetic boundary value problems |
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