Wavelet Nyström fast numerical algorithm for the integral equation in scattering problems

We present a fast Nyström algorithm to solving the inhomogeneous Lippmann- Schwinger equation for scattering wave field problems. This algorithm transforms the discrete matrix of the linear integral operator into a sparse matrix utilizing the compression property of the wavelet transform. The sparse...

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Bibliographic Details
Published inIOP conference series. Earth and environmental science Vol. 660; no. 1; pp. 12101 - 12105
Main Authors Xu, Yangyang, Shang, Yaoda, Meng, Xiangyu, Sun, Jianguo
Format Journal Article
LanguageEnglish
Published Bristol IOP Publishing 01.02.2021
Subjects
Algorithms
Compression
Conjugate gradient method
Integral equations
Linear equations
Mathematical analysis
Mathematical models
Matrix methods
Model testing
Numerical analysis
Operators (mathematics)
Scattering
Sparse matrices
Wavelet transforms
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ISSN1755-1307
1755-1315
1755-1315
DOI10.1088/1755-1315/660/1/012101

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Summary:We present a fast Nyström algorithm to solving the inhomogeneous Lippmann- Schwinger equation for scattering wave field problems. This algorithm transforms the discrete matrix of the linear integral operator into a sparse matrix utilizing the compression property of the wavelet transform. The sparse linear equations are solved by the double conjugate gradient method. In the numerical part, we verified the feasibility and effectiveness of our method by modeling the wave field for a synthetic model.
Bibliography:ObjectType-Conference Proceeding-1
SourceType-Scholarly Journals-1
content type line 14
ISSN:1755-1307
1755-1315
1755-1315
DOI:10.1088/1755-1315/660/1/012101