28
Views
12
CrossRef citations to date
0
Altmetric
Articles

Absorbing Boundary Conditions on Circular and Elliptical Boundaries

, , &
Pages 945-962 | Published online: 03 Apr 2012

References

  • Mei , K. K. 1974 . Unimoment method of solving antenna and scattering problems . IEEE. Trans. Antennas Propagat. , AP-22 ( No. 6 ) : 760 – 766 .
  • Ting , L. and Miksis , M. 1986 . Exact boundary conditions for scattering problems . J. Acoust. Soc. Am. , 80 ( 6 )
  • Engquist , B. and Majda , A. 1977 . Radiation boundary conditions for the numerical simulation of waves . Math. Comp. , 31 : 629 – 651 .
  • Bayliss , A. and Turkel , E. 1980 . Radiation boundary conditions for wave-like equations . Comm. Pure Appl. Math. , 33 : 707 – 725 .
  • Friedrichs , K. O. Pseudo-Differential Operators, An Introduction , Courant Institute of Mathematical Sciences, New York University .
  • Nirenberg , L. 1973 . Linear Partial Differential Equations, C. B. M. S., Regional Conference Series in Mathematics, No. 17 , Providence , R.I : Amer. Math. Soc . Lectures on
  • Hitoshi , K. 1974 . Pseudo-Differential Operators , Massachusetts , , USA : MIT Press .
  • Mur , G. 1981 . Absorbing boundary conditions for the finite difference approximation of the time domain electromagnetic field equations . IEEE Trans. Electromagn. Compat. , EMC-23 ( No. 4 ) Nov.
  • Wilcox , C. 1956 . An expansion theorem for electromagnetic fields . Comm. on Pure and Applied Math. , 9 : 115 – 134 .
  • McCartin , B. J. , Meltz , G. and Mittra , R. 1988 . “ Application of the control region approximation in conjunction with absorbing boundary conditions to the direct solution of the electromagnetic scattering problems ” . In Proc. 1988 URSI Radio Science Meeting Syracuse , New York
  • Kriegsmann , G. , Taflove , A. and Umashankar , K. 1987 . A new formulation of electromagnetic wave scattering using an on-surface radiation boundary condition approach . IEEE Trans. Antennas Propagat. , AP-35 ( No. 2 ) : 153 – 161 .
  • Majda , A. and Osher , S. 1975 . Reflection of singularities at the boundary . Comm. on Pure and Applied Math. , 28 : 479 – 499 .
  • Bayliss , A. , Goldstein and Turkel , E. 1985 . On accuracy conditions for the numerical computation of waves . J. Computational Physics , 59 : 396 – 404 .
  • Trefethen , L. N. and Halpern , L. 1986 . Well-posedness of one-way wave equations and absorbing boundary conditions . Math. Comput. , 47 ( No. 176 ) : 421 – 435 .
  • Blaschak , J. G. and Kriegsmann , G. A. 1988 . A comparative study of absorbing boundary conditions . J. Computational Physics , 77 : 109 – 139 .
  • Moore , T. G. , Blaschak , J. G. and Kriegsmann , G. A. 1988 . Theory and application of radiation boundary operators . IEEE Trans. Antennas Propagat , AP-36 ( No. 12 )

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.