Compressed Scattering Matrices and Fast Direct Solvers

Abstract

New direct and analytically precondidoned frequency and time domain integral equation solvers have been developed. First mechanisms for compressing scattering matrices in static and relatively low-frequency environments will be pursued and used in the construction of direct frequency domain integral equation solvers applicable to objects roughly 40 wavelengths in size. Second hierarchical and Calderon preconditioned time-domain integral equation solvers were developed. These solvers remain repidly convergent and stable even when applied to very low-frequency problems and/or very densely meshed structures. Third, the methods developed gave rise to new techniques for designing numerical quadratures and for computing singular value decompositions.

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Document Details

Document Type
Technical Report
Publication Date
Oct 18, 2007
Accession Number
ADA473925

Entities

People

  • Vladimir Rokhlin, Jr.

Organizations

  • Yale University

Tags

Communities of Interest

  • Air Platforms
  • Human Systems
  • Weapons Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Applied Mathematics
  • Computational Science
  • Construction
  • Contract Administration
  • Department Of Defense
  • Electric Fields
  • Electromagnetic Scattering
  • Equations
  • Frequency
  • Frequency Domain
  • Integral Equations
  • Integrals
  • Mathematics
  • Radiation
  • Scattering
  • Time Domain

Readers

  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)