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Original Articles

General-Purpose Characteristic Basis Finite Element Method for Multi-Scale Electrostatic and Electromagnetic Problems

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Pages 205-221 | Received 12 Aug 2008, Accepted 15 Jun 2009, Published online: 08 Mar 2010

References

  • Abd-El-Raouf , H. , Mittra , R. and Ma , J. F. 2005 . “ Solving very large EM problems (109 DoFs or greater) using the MPI-CBFDTD method ” . In IEEE Anten. Prop. Soc. Int. Symp. 2 – 5 . Washington DC, 3-8 July, 2B
  • Barka , A. and Caudrillier , P. 2007 . Domain decomposition method based on generalized scattering matrix for installed performance of antennas on aircraft . IEEE Trans. Antennas Propagat. , 55 : 1833 – 1842 .
  • Gropp , W. , Lusk , E. and Skjellum , A. 1994 . Using MPI: Portable parallel programming with the message-passing interface , Cambridge, MA : MIT Press .
  • Kindt , R. W. , Sertel , K. , Topsakal , E. and Volakis , J. L. 2003 . Array decomposition method for the accurate analysis of finite arrays . IEEE Trans. Antennas Propagat. , 51 : 1364 – 1372 .
  • Kuzuoglu , M. 2003 . “ Fast solution of electromagnetic boundary value problems by the characteristic basis functions/FEM approach ” . In IEEE Anten. Prop. Soc. Int. Symp. 1072 – 1075 . Columbus, OH, 22-27 June, 2
  • Kwon , S. J. , Du , K. and Mittra , R. 2003 . Characteristic basis function method: A numerically efficient technique for analyzing microwave and RF circuits . Microw. Opt. Technol. Lett. , 38 : 444 – 448 .
  • Lee , J. F. , Lee , R. and Teixeira , F. 2004 . Hierarchical vector finite elements with p-type non-overlapping Schwarz method for modeling waveguide discontinuities . CMES Comp. Model. Eng. , 5 : 423 – 434 .
  • Li , Y. and Jin , J. M. 2006 . A vector dual-primal finite element tearing and interconnecting method for solving 3-D large-scale electromagnetic problems . IEEE Trans. Antennas Propagat. , 54 : 3000 – 3009 .
  • Marchand , R. G. , Botha , M. M. and Davidson , D. B. 2008 . Total and scattered field decomposition for the vector Helmholtz equation using the FETI . Electromagnetics , 28 : 77 – 91 .
  • Nabors , K. and White , J. 1991 . FastCap: A multipole accelerated 3-D capacitance extraction program . IEEE Trans. Comput. Aided Design , 10 : 1447 – 1459 . (www.fastfieldsolvers.com)
  • Ozgun , O. and Kuzuoglu , M. 2007a . Forward-backward domain decomposition method for finite element solution of boundary value problems . Microw. Opt. Technol. Lett. , 49 : 2582 – 2590 .
  • Ozgun , O. and Kuzuoglu , M. 2007b . Near-field performance analysis of locally-conformal perfectly matched absorbers via Monte Carlo simulations . J. Comput. Phys. , 227 : 1225 – 1245 .
  • Ozgun , O. and Kuzuoglu , M. 2007c . Non-Maxwellian locally-conformal PML absorbers for finite element mesh truncation . IEEE Trans. Antennas Propagat. , 55 : 931 – 937 .
  • Ozgun , O. and Kuzuoglu , M. 2008 . Finite element analysis of electromagnetic wave problems via iterative leap-field domain decomposition method . J. Electromagn. Waves Appl. , 22 : 251 – 266 .
  • Philips , T. N. 1992 . Preconditioned iterative methods for elliptic problems on decomposed domains . Int. J. Comp. Math. , 44 : 5 – 18 .
  • Plonsey , R. and Collin , R. E. 1961 . Principles and applications of electromagnetic fields , New York : McGraw Hill .
  • Prakash , V. V. S. and Mittra , R. 2003 . Characteristic basis function method: A new technique for efficient solution of method of moments matrix equations . Microw. Opt. Technol. Lett , 36 : 95 – 100 .
  • Rubia , V. and Zapata , J. 2007 . Microwave circuit design by means of direct decomposition in the finite-element method . IEEE Trans. Microw. Theory Techniq. , 55 : 1520 – 1530 .
  • Spring , C. T. and Cangellaris , A. C. 1995 . Parallel implementation of domain decomposition methods for the electromagnetic analysis of guided wave systems . J. Electromagn. Waves Appl. , 9 : 175 – 192 .
  • Veremey , V. V. and Mittra , R. 1999 . Efficient computation of interconnect capacitances using the domain decomposition approach . IEEE Trans. Adv. Pack. , 22 : 348 – 355 .
  • Vouvakis , M. N. , Cendes , Z. and Lee , J. F. 2006 . A FEM domain decomposition method for photonic and electromagnetic band gap structures . IEEE Trans. Antennas Propagat. , 54 : 721 – 733 .
  • Wolfe , C. T. and Gedney , S. D. 2007 . Implementation of a domain decomposition method on a high performance parallel platform for the solution of large electromagnetic problems . Electromagnetics , 27 : 278 – 284 .
  • Yeo , J. , Prakash , V. V. S. and Mittra , R. 2003 . Efficient analysis of a class of microstrip antennas using the characteristic basis function method (CBFM) . Microw. Opt. Technol. Lett , 39 : 456 – 464 .

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