A domain decomposition method for the vector wave equation

IEEE Transactions on Antennas and Propagation

Volumn 48, Issue 5, 2000, Pages 653-660

  Stupfel, Bruno ^a   Mognot, Martine ^a  

^a CEA CESTA   (France)

Author keywords

Electromagnetic scattering; Finite element method

Indexed keywords

ALGORITHMS; BOUNDARY CONDITIONS; COMPUTATIONAL COMPLEXITY; FINITE ELEMENT METHOD; PROBLEM SOLVING; RADAR CROSS SECTION; THREE DIMENSIONAL; WAVE EQUATIONS;

ABSORBING BOUNDARY CONDITION; DOMAIN DECOMPOSITION METHOD;

ELECTROMAGNETIC WAVE SCATTERING;

EID: 0034186875     PISSN: 0018926X     EISSN: None     Source Type: Journal    
DOI: 10.1109/8.855483     Document Type: Article

References (22)

1. X. Yuan, "Three-dimensional electromagnetic scattering from inhomogeneous objects by the hybrid moment and finite element method," IEEE Trans. Microwave Theory Tech., vol. 38, pp. 1053-1058, 1990.
2. B. Stupfel, R. Le Martret, P. Bonnemason, and B. Scheurer, "Solution of the scattering problem by axisymmetrical penetrable objects with a mixed boundary-element and finite-element method," in Proc. Journées Int. Antennes, Nice, France, Nov. 1990, pp. 116-119.
3. W. E. Boyse and A. A. Seidl, "A hybrid finite element method for near bodies of revolution," IEEE Trans. Magn., vol. 27, pp. 3833-3836, 1991.
4. P. Soudais, "Computation of the electromagnetic scattering from complex 3D objects by a hybrid FEM/BEM method," J. Electromagn. Waves Appl., vol. 9, pp. 871-886, 1995.
5. A. F. Peterson, "Absorbing boundary conditions for the vector wave equation," Microwave Opt. Tech. Lett., vol. 1, pp. 62-64, 1988.
6. J. Jin, The Finite Element Methods in Electromagnetics. New York: Wiley, 1993.
7. B. Stupfel, "Absorbing boundary conditions on arbitrary boundaries for the scalar and vector wave equations," IEEE Trans. Antennas Propagat., vol. 42, pp. 773-780, 1994.
8. F. Collino and P. Joly, "New absorbing boundary conditions for the finite element solution of 3-D Maxwell's equations," IEEE Trans. Magn., vol. 31, pp. 1696-1701, 1995.
9. R. Cicchetti, "A class of exact and higher-order surface boundary conditions for layered structures," IEEE Trans. Antennas Propagat., vol. 44, pp. 249-259, 1996.
10. B. Stupfel and M. Mognot, "Implementation and derivation of conformal absorbing boundary conditions for the vector wave equation," J. Electromagn. Waves Appl., vol. 12, pp. 1653-1677, 1998.
11. Z. S. Sacks, D. M. Kingsland, R. Lee, and J. F. Lee, "A perfectly matched anistropic absorber for use as an absorbing boundary condition," IEEE Trans. Antennas Propagat., vol. 43, pp. 1460-1463, 1995.
12. J. Y. Wu, D. M. Kingsland, J. F. Lee, and R. Lee, "A comparison of anistropic PML to Bérenger's PML and its application to the finite-element method for electromagnetic scattering," IEEE Trans. Antennas Propagat., vol. 45, pp. 40-50, Jan. 1997.
13. M. Kuzuoglu and R. Mittra, "Investigation of nonplanar perfectly matched absorbers for finite element mesh truncation," IEEE Trans. Antennas Propagat., vol. 45, pp. 474-486, 1997.
14. F. L. Teixeira and W. C. Chew, "Analytical derivation of a conformal perfectly matched absorber for electromagnetic waves," Microwave Opt. Tech. Lett., vol. 17, pp. 231-236, 1998.
15. B. Després, Ph.D dissertation, Université Paris IX Dauphine, Paris, France, 1991.
16. _, "Domain decomposition method and the Helmholtz problem," in Proc. Int. Symp. Math. Numer. Aspects Wave Propagat. Phenomena, 1992, pp. 44-52.
17. _, "Domain decomposition method and the Helmholtz problem (part II)," in Proc. 2ndlnt. Conf. Math. Numer. Aspects Wave Propagat., 1993, pp. 197-206.
18. _, "A domain decomposition method for the harmonic Maxwell equations," in Iterative Methods in Linear Algebra, R. Beauwens and P. de Groen, Eds. Amsterdam, The Netherlands: Elsevier, 1992, pp. 475-484.
19. V. V. Shaidurov and E. I. Ogorodnikov, "Some numerical method of solving Helmholtz equation wave equation," in Proc. Int. Symp. Math. Numer. Aspects Wave Propagat. Phenomena, 1992, pp. 73-79.
20. B. Stupfel, "A fast domain decomposition method for the solution of electromagnetic scattering by large objects," IEEE Trans. Antennas Propagat., vol. 44, pp. 1375-1385, 1996.
21. B. Stupfel and B. Després, "A domain decomposition method for the solution of large electromagnetic scattering problems," J. Electromagn. Waves Appl., vol. 13, pp. 1553-1568, 1999.
22. P. Bonnemason and B. Stupfel, "Modeling high frequency scattering by axisymmetric perfectly or imperfectly conducting scatterers," Electromagn., vol. 13, pp. 111-129, 1993.