A Domain Decomposition Method for the Solution of Large Electromagnetic Scattering Problems

References

• Yuan , X. 1990 . Three-dimensional electromagnetic scattering from inhomogeneous objects by the hybrid moment and finite element method . IEEE Trans. Microwave Theory Tech. , MTT-38 : 1053 – 1058 .
   Web of Science ®Google Scholar
• Stupfel , B. , Le Martret , R. , Bonnemason , P. and Scheurer , B. Solution of the scattering problem by axisymmetrical penetrable objects with a mixed boundary-element and finite-element method . Proceedings of the Journées Internationales de Nice sur les Antennes . November . pp. 116 – 119 . Nice , , France
   Google Scholar
• Boyse , W. E. and Seidl , A. A. 1991 . A hybrid finite element method for near bodies of revolution . IEEE Trans. Magnetics , 27 : 3833 – 3836 .
   Google Scholar
• Soudais , P. 1995 . Computation of the electromagnetic scattering from complex 3D objects by a hybrid FEM/BEM method . J. Electromag. Waves and Appl. , 9 : 871 – 886 .
   Web of Science ®Google Scholar
• Peterson , A. F. 1988 . Absorbing boundary conditions for the vector wave equation . Microwave and Opt. Tech. Let. , 1 : 62 – 64 .
   Web of Science ®Google Scholar
• Jin , J. 1993 . The Finite Element Methods in Electromagnetics , New York : Wiley- Interscience .
   Google Scholar
• Stupfel , B. 1994 . Absorbing boundary conditions on arbitrary boundaries for the scalar and vector wave equations . IEEE Trans. Antennas Propagat. , AP-42 : 773 – 780 .
   Web of Science ®Google Scholar
• Cicchetti , R. 1996 . A class of exact and higher-order surface boundary conditions for layered structures . IEEE Trans. Antennas Propagat. , AP-44 : 249 – 259 .
   Web of Science ®Google Scholar
• Stupfel , B. and Mognot , M. 1998 . Implementation and derivation of conformal absorbing boundary conditions for the vector wave equation . J. Electromag. Waves and Appl. , 12 : 1653 – 1677 .
   Web of Science ®Google Scholar
• Sacks , Z. S. , Kingsland , D. M. , Lee , R. and Lee , J. F. 1995 . A perfectly matched anistropic absorber for use as an absorbing boundary condition . IEEE Trans. Antennas Propagat. , AP-43 : 1460 – 1463 .
   Google Scholar
• Wu , J. Y. , Kingsland , D. M. , Lee , J. F. and Lee , R. 1997 . A comparison of anistropic PML to Berenger's PML and its application to the finite element method for electromagnetic scattering . IEEE Trans. Antennas Propagat. , AP-45 : 40 – 50 .
   Google Scholar
• Kuzuoglu , M. and Mittra , R. 1997 . Investigation of nonplanar perfectly matched absorbers for finite element mesh truncation . IEEE Trans. Antennas Propagat. , AP-45 : 474 – 486 .
   Google Scholar
• Teixeira , F. L. and Chew , W. C. 1998 . Analytical derivation of a conformal perfectly matched absorber for electromagnetic waves . Microwave and Opt. Tech. Let. , 17 : 231 – 236 .
   Google Scholar
• Song , J. M. , Lu , C. C. , Chew , W. C. and Lee , S. W. 1998 . Fast Illinois solver code (FISC) . IEEE Trans. Antennas Propagat. Mag. , 40 : 27 – 34 .
   Web of Science ®Google Scholar
• Legault , S. R. , Senior , T. B. A. and Volakis , J. L. 1996 . Design of planar absorbing layers for domain truncation in FEM applications . Electromagnetics , 16 : 451 – 464 .
   Web of Science ®Google Scholar
• Després , B. 1991 . Ph.D. Dissertation , France : Université Paris IX Dauphine .
   Google Scholar
• Després , B. Domain decomposition method and the Helmholtz problem . Proceedings of the International Symposium on Mathematical and Numerical Aspects of Wave Propagation Phenomena . pp. 44 – 52 . SIAM Ed .
   Google Scholar
• Després , B. Domain decomposition method and the Helmholtz problem (part II) . Proceedings of the Second International Conference on Mathematical and Numerical Aspects of Wave Propagation . pp. 197 – 206 . SIAM Ed .
   Google Scholar
• Després , B. 1992 . “ A domain decomposition method for the harmonic Maxwell equations ” . In Iterative Methods in Linear Algebra , Edited by: Beauwens , R. and de Groen , P. 475 – 484 . Elsevier Science Pub .
   Google Scholar
• Shaidurov , V. V. and Ogorodnikov , E. I. Some numerical method of solving Helmholtz equation wave equation . Proceedings of the international symposium on Mathematical and numerical aspects of wave propagation phenomena . pp. 73 – 79 . SIAM Ed .
   Google Scholar
• Benamou , J. D. and Després , B. 1997 . A domain decomposition method for the Helmholtz equation and related optimal control problems . J. Comp. Phys. , 136 : 68 – 82 .
   Web of Science ®Google Scholar
• Stupfel , B. 1996 . A fast domain decomposition method for the solution of electromagnetic scattering by large objects . IEEE Trans. Antennas Propagat. , AP-44 : 1375 – 1385 .
   Web of Science ®Google Scholar
• Medgyesi-Mitschang , L. N. and Putnam , J. M. 1985 . Integral equation formulations for imperfectly conducting scatterers . IEEE Trans. Antennas Propagat. , AP-33 : 206 – 214 .
   Web of Science ®Google Scholar
• Després , B. 1996 . Fonctionnelle quadratique et équations intégrales pour les équations de Maxwell harmoniques en domaine extérieur . C.R. Acad. Sci. Paris , 323 : 1145 – 1163 . Série I
   Google Scholar
• Colton , D. and Kress , R. 1983 . Integral Equation Methods in Scattering Theory , New York : Wiley and Sons .
   Google Scholar
• Mautz , J. R. and Harrington , R. F. 1978 . H-field, E-field, and combined field solutions for conducting bodies of revolution . AEU , 32 : 156 – 164 .
   Google Scholar
• Polycarpou , A. C. and Balanis , C. A. 1998 . An optimized anisotropic perfectly matched layer for the analysis of microwave circuit . IEEE Mirowave and Guided Waves Letters , 8 : 30 – 32 .
   Google Scholar