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

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

Research output: Contribution to conferencePaper

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 languageEnglish (US)
Pages600-606
Number of pages7
StatePublished - 1998
EventProceedings of the 1998 14th Annual Review of Progress in Applied Computational Electromagnetics. Part 1 (of 2) - Monterey, CA, USA
Duration: Mar 16 1998Mar 20 1998

Other

OtherProceedings of the 1998 14th Annual Review of Progress in Applied Computational Electromagnetics. Part 1 (of 2)
CityMonterey, CA, USA
Period3/16/983/20/98

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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    Hagstrom, T., Alpert, B. K., Greengard, L. F., & Hariharan, S. I. (1998). Accurate boundary treatments for Maxwell's equations and their computational complexity. 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, .