A Fast, Bandlimited Solver for Scattering Problems in Inhomogeneous Media

Fredrik Andersson; Anders Holst

doi:10.1007/s00041-005-4082-1

A Fast, Bandlimited Solver for Scattering Problems in Inhomogeneous Media

Fredrik Andersson, Anders Holst

Research output: Contribution to journal › Article › peer-review

Abstract

The numerical treatment of two-dimensional scattering in inhomogeneous media is considered. A novel approach in treating convolution operators with low regularity is used to construct an iterative solver for the Lippmann-Schwinger integral equation. In this way, accurate approximations within a choice of bandwidth can be obtained in a rapid manner. The performance of the method is tested on a discontinuous scattering object for which the exact solution is known.

Original language	English
Pages (from-to)	471-487
Journal	Journal of Fourier Analysis and Applications
Volume	11
Issue number	4
DOIs	https://doi.org/10.1007/s00041-005-4082-1
Publication status	Published - 2005

Subject classification (UKÄ)

Mathematical Analysis

Free keywords

fast algorithms
Lippmann-Schwinger equation
Helmholtz equation

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10.1007/s00041-005-4082-1

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title = "A Fast, Bandlimited Solver for Scattering Problems in Inhomogeneous Media",

abstract = "The numerical treatment of two-dimensional scattering in inhomogeneous media is considered. A novel approach in treating convolution operators with low regularity is used to construct an iterative solver for the Lippmann-Schwinger integral equation. In this way, accurate approximations within a choice of bandwidth can be obtained in a rapid manner. The performance of the method is tested on a discontinuous scattering object for which the exact solution is known.",

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AU - Andersson, Fredrik

AU - Holst, Anders

PY - 2005

Y1 - 2005

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AB - The numerical treatment of two-dimensional scattering in inhomogeneous media is considered. A novel approach in treating convolution operators with low regularity is used to construct an iterative solver for the Lippmann-Schwinger integral equation. In this way, accurate approximations within a choice of bandwidth can be obtained in a rapid manner. The performance of the method is tested on a discontinuous scattering object for which the exact solution is known.

KW - fast algorithms

KW - Lippmann-Schwinger equation

KW - Helmholtz equation

U2 - 10.1007/s00041-005-4082-1

DO - 10.1007/s00041-005-4082-1

M3 - Article

SN - 1531-5851

VL - 11

SP - 471

EP - 487

JO - Journal of Fourier Analysis and Applications

JF - Journal of Fourier Analysis and Applications

IS - 4

ER -

A Fast, Bandlimited Solver for Scattering Problems in Inhomogeneous Media

Abstract

Subject classification (UKÄ)

Free keywords

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Cite this