Accurate boundary treatments for Maxwell's equations and their computational complexity

Thomas Hagstrom; Bradley K. Alpert; Leslie F. Greengard; S. I. Hariharan

Accurate boundary treatments for Maxwell's equations and their computational complexity

Thomas Hagstrom, Bradley K. Alpert, Leslie F. Greengard, S. I. Hariharan

Mathematics

Research output: Contribution to conference › Paper › peer-review

Abstract

A variety of techniques capable of achieving arbitrary accuracy for special boundaries and estimate the associated cost are considered. For plane boundaries these include direct implementations of the exact condition as a convolution Volterra equation, high-order local boundary conditions deriving from the work of Engquist-Majda-Lindman, and stabilized absorbing layers. For spherical boundaries implementations of the exact condition are considered using local operators, in particular the conditions of Grote-Keller and a new spatially localized equivalent as well as conditions based on uniform rational approximations.

Original language	English (US)
Pages	600-606
Number of pages	7
State	Published - 1998
Event	Proceedings of the 1998 14th Annual Review of Progress in Applied Computational Electromagnetics. Part 1 (of 2) - Monterey, CA, USA Duration: Mar 16 1998 → Mar 20 1998

Other

Other	Proceedings of the 1998 14th Annual Review of Progress in Applied Computational Electromagnetics. Part 1 (of 2)
City	Monterey, CA, USA
Period	3/16/98 → 3/20/98

ASJC Scopus subject areas

Electrical and Electronic Engineering

Cite this

Accurate boundary treatments for Maxwell's equations and their computational complexity. / Hagstrom, Thomas; Alpert, Bradley K.; Greengard, Leslie F. et al.
1998. 600-606 Paper presented at Proceedings of the 1998 14th Annual Review of Progress in Applied Computational Electromagnetics. Part 1 (of 2), Monterey, CA, USA.

Research output: Contribution to conference › Paper › peer-review

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AB - A variety of techniques capable of achieving arbitrary accuracy for special boundaries and estimate the associated cost are considered. For plane boundaries these include direct implementations of the exact condition as a convolution Volterra equation, high-order local boundary conditions deriving from the work of Engquist-Majda-Lindman, and stabilized absorbing layers. For spherical boundaries implementations of the exact condition are considered using local operators, in particular the conditions of Grote-Keller and a new spatially localized equivalent as well as conditions based on uniform rational approximations.

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Accurate boundary treatments for Maxwell's equations and their computational complexity

Abstract

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ASJC Scopus subject areas

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