Toward more geometrically adaptive compression of moment matrices

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

Abstract

In recent years, fast direct integral equation solvers have been developed, as an alternative to iterative solver, for problems that suffer from ill-conditioning or when a solution is sought for many right-hand-sides. These solvers rely on the fast computation of a compressed representation of the impedance matrix. Then, the compressed representation's factorized (effectively 'solved') form is computed and applied to each right-hand-side. If the factorized form inherits the original matrix's compressibility, the savings in memory are maintained and the solution for each right-hand-side is, indeed, fast. The compression of the impedance matrix is often performed in a hierarchical manner. The geometry is first partitioned into clusters of basis and testing functions. Then, a hierarchical block structure for compression is defined, in accordance with the choice of hierarchical algebraic procedure for computing the compressed factorized form, e.g., [1], [2], or [3]. Matrix blocks, corresponding to interactions between sources and observers, that are assumed compressible, in some sense, are identified and compressed.

Original languageEnglish
Title of host publicationProceedings of the 2019 21st International Conference on Electromagnetics in Advanced Applications, ICEAA 2019
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages513
Number of pages1
ISBN (Electronic)9781728105635
DOIs
StatePublished - 1 Sep 2019
Event21st International Conference on Electromagnetics in Advanced Applications, ICEAA 2019 - Granada, Spain
Duration: 9 Sep 201913 Sep 2019

Publication series

NameProceedings of the 2019 21st International Conference on Electromagnetics in Advanced Applications, ICEAA 2019

Conference

Conference21st International Conference on Electromagnetics in Advanced Applications, ICEAA 2019
Country/TerritorySpain
CityGranada
Period9/09/1913/09/19

ASJC Scopus subject areas

  • Computer Networks and Communications
  • Geophysics
  • Radiation
  • Modeling and Simulation
  • Statistics and Probability
  • Instrumentation

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