Fast direct (noniterative) solvers for integral-equation formulations of scattering problems

Levent Gürel, Weng Cho Chew

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

For problems involving resonant or near-resonant structures, what is needed is a direct (noniterative) solver with reduced computational complexity. A family of such solvers are introduced. In addition to being alternatives to iterative solvers, fast direct solvers can also be used in the framework of iterative solvers as a preconditioner and to obtain accurate initial guess for parts of the geometry. In both cases, the objective is to utilize the direct solvers in a way to accelerate the iterative solvers by reducing the number of iterations required to required to reach the given convergence criteria. The fast direct solvers presented in this paper are based on the recursive interaction matrix algorithm (RIMA) and exploit the aggregation concept of the recursive aggregate T-matrix algorithm (RATMA) to accelerate the solution.

Original languageEnglish (US)
Title of host publicationIEEE Antennas and Propagation Society International Symposium, 1998 Digest - Antennas
Subtitle of host publicationGateways to the Global Network - Held in conjunction with: USNC/URSI National Radio Science Meeting
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages298-301
Number of pages4
ISBN (Print)0780344782, 9780780344785
DOIs
StatePublished - 1998
Externally publishedYes
Event1998 IEEE Antennas and Propagation Society International Symposium, APSURSI 1998 - Atlanta, United States
Duration: Jun 21 1998Jun 26 1998

Publication series

NameIEEE Antennas and Propagation Society International Symposium, 1998 Digest - Antennas: Gateways to the Global Network - Held in conjunction with: USNC/URSI National Radio Science Meeting
Volume1

Other

Other1998 IEEE Antennas and Propagation Society International Symposium, APSURSI 1998
Country/TerritoryUnited States
CityAtlanta
Period6/21/986/26/98

ASJC Scopus subject areas

  • Instrumentation
  • Radiation
  • Computer Networks and Communications
  • Electrical and Electronic Engineering

Fingerprint

Dive into the research topics of 'Fast direct (noniterative) solvers for integral-equation formulations of scattering problems'. Together they form a unique fingerprint.

Cite this