A Hybrid Solvers Enhanced Integral Equation Domain Decomposition Method for Modeling of Electromagnetic Radiation
The hybrid solvers based on integral equation domain decomposition method (HS-DDM) are developed for modeling of electromagnetic radiation. Based on the philosophy of “divide and conquer,” the IE-DDM divides the original multiscale problem into many closed nonoverlapping subdomains. For adjacent sub...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | International Journal of Antennas and Propagation |
| Online Access: | http://dx.doi.org/10.1155/2015/467680 |
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| author | Ran Zhao Jun Hu Han Guo Ming Jiang Zai-ping Nie |
| author_facet | Ran Zhao Jun Hu Han Guo Ming Jiang Zai-ping Nie |
| author_sort | Ran Zhao |
| collection | DOAJ |
| description | The hybrid solvers based on integral equation domain decomposition method (HS-DDM) are developed for modeling of electromagnetic radiation. Based on the philosophy of “divide and conquer,” the IE-DDM divides the original multiscale problem into many closed nonoverlapping subdomains. For adjacent subdomains, the Robin transmission conditions ensure the continuity of currents, so the meshes of different subdomains can be allowed to be nonconformal. It also allows different fast solvers to be used in different subdomains based on the property of different subdomains to reduce the time and memory consumption. Here, the multilevel fast multipole algorithm (MLFMA) and hierarchical (H-) matrices method are combined in the framework of IE-DDM to enhance the capability of IE-DDM and realize efficient solution of multiscale electromagnetic radiating problems. The MLFMA is used to capture propagating wave physics in large, smooth regions, while H-matrices are used to capture evanescent wave physics in small regions which are discretized with dense meshes. Numerical results demonstrate the validity of the HS-DDM. |
| format | Article |
| id | doaj-art-2abe478c395e429c88df7bcd07ef91d7 |
| institution | Kabale University |
| issn | 1687-5869 1687-5877 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
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| series | International Journal of Antennas and Propagation |
| spelling | doaj-art-2abe478c395e429c88df7bcd07ef91d72025-08-20T03:54:42ZengWileyInternational Journal of Antennas and Propagation1687-58691687-58772015-01-01201510.1155/2015/467680467680A Hybrid Solvers Enhanced Integral Equation Domain Decomposition Method for Modeling of Electromagnetic RadiationRan Zhao0Jun Hu1Han Guo2Ming Jiang3Zai-ping Nie4School of Electronic Engineering, University of Electronic Science and Technology of China, Chengdu 611731, ChinaSchool of Electronic Engineering, University of Electronic Science and Technology of China, Chengdu 611731, ChinaSchool of Electronic Engineering, University of Electronic Science and Technology of China, Chengdu 611731, ChinaSchool of Electronic Engineering, University of Electronic Science and Technology of China, Chengdu 611731, ChinaSchool of Electronic Engineering, University of Electronic Science and Technology of China, Chengdu 611731, ChinaThe hybrid solvers based on integral equation domain decomposition method (HS-DDM) are developed for modeling of electromagnetic radiation. Based on the philosophy of “divide and conquer,” the IE-DDM divides the original multiscale problem into many closed nonoverlapping subdomains. For adjacent subdomains, the Robin transmission conditions ensure the continuity of currents, so the meshes of different subdomains can be allowed to be nonconformal. It also allows different fast solvers to be used in different subdomains based on the property of different subdomains to reduce the time and memory consumption. Here, the multilevel fast multipole algorithm (MLFMA) and hierarchical (H-) matrices method are combined in the framework of IE-DDM to enhance the capability of IE-DDM and realize efficient solution of multiscale electromagnetic radiating problems. The MLFMA is used to capture propagating wave physics in large, smooth regions, while H-matrices are used to capture evanescent wave physics in small regions which are discretized with dense meshes. Numerical results demonstrate the validity of the HS-DDM.http://dx.doi.org/10.1155/2015/467680 |
| spellingShingle | Ran Zhao Jun Hu Han Guo Ming Jiang Zai-ping Nie A Hybrid Solvers Enhanced Integral Equation Domain Decomposition Method for Modeling of Electromagnetic Radiation International Journal of Antennas and Propagation |
| title | A Hybrid Solvers Enhanced Integral Equation Domain Decomposition Method for Modeling of Electromagnetic Radiation |
| title_full | A Hybrid Solvers Enhanced Integral Equation Domain Decomposition Method for Modeling of Electromagnetic Radiation |
| title_fullStr | A Hybrid Solvers Enhanced Integral Equation Domain Decomposition Method for Modeling of Electromagnetic Radiation |
| title_full_unstemmed | A Hybrid Solvers Enhanced Integral Equation Domain Decomposition Method for Modeling of Electromagnetic Radiation |
| title_short | A Hybrid Solvers Enhanced Integral Equation Domain Decomposition Method for Modeling of Electromagnetic Radiation |
| title_sort | hybrid solvers enhanced integral equation domain decomposition method for modeling of electromagnetic radiation |
| url | http://dx.doi.org/10.1155/2015/467680 |
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