Fast direct solver based on the generalized equivalence integral equation

Yaniv Brick, Vitaliy Lomakin, Amir Boag

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

3 Scopus citations

Abstract

A novel fast direct solver using the recently proposed generalized equivalence integral equation (GEIE) is presented. By eliminating the line-of-sight between distant subdomains of convex geometries, the GEIE essentially reduces the problems' dimensionality, thus producing highly compressible impedance matrices. The compression is facilitated using a multilevel non-uniform grid (NG) scheme, tailored to the GEIE. The high compressibility and fast compression sum up to a fast direct solver. The solver is applied to the problem of scattering from an essentially circular cylinder, thus facilitating the construction of a modified Green's function that is needed in the GEIE formulation. For the 2-dimensional (2D) case, compression to O(1) unknowns is achieved.

Original languageEnglish
Title of host publication2013 International Symposium on Electromagnetic Theory, EMTS 2013 - Proceedings
Pages614-617
Number of pages4
StatePublished - 4 Sep 2013
Externally publishedYes
Event2013 21st International Symposium on Electromagnetic Theory, EMTS 2013 - Hiroshima, Japan
Duration: 20 May 201324 May 2013

Publication series

Name2013 International Symposium on Electromagnetic Theory, EMTS 2013 - Proceedings

Conference

Conference2013 21st International Symposium on Electromagnetic Theory, EMTS 2013
Country/TerritoryJapan
CityHiroshima
Period20/05/1324/05/13

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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