A fourier method to recover elastic sources with multi-frequency data

Minghui Song; Xianchao Wang

doi:10.4208/eajam.250518.041118

A fourier method to recover elastic sources with multi-frequency data

Minghui Song^*
, Xianchao Wang

^*Corresponding author for this work

School of Mathematics

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

3 Scopus citations

Abstract

An inverse source problem for elastic waves in isotropic homogeneous media is considered and a Fourier transform based multi-frequency approach to determine the elastic source is proposed. This is an easily implementable fast non-iterative inversion scheme. The stability estimate is derived. Numerical examples demonstrate the effectiveness of the method.

Original language	English
Pages (from-to)	369-385
Number of pages	17
Journal	East Asian Journal on Applied Mathematics
Volume	9
Issue number	2
DOIs	https://doi.org/10.4208/eajam.250518.041118
State	Published - May 2019

Keywords

Elastic wave
Far field
Fourier transform
Inverse source problem
Multi-frequency

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10.4208/eajam.250518.041118

Cite this

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title = "A fourier method to recover elastic sources with multi-frequency data",

abstract = "An inverse source problem for elastic waves in isotropic homogeneous media is considered and a Fourier transform based multi-frequency approach to determine the elastic source is proposed. This is an easily implementable fast non-iterative inversion scheme. The stability estimate is derived. Numerical examples demonstrate the effectiveness of the method.",

keywords = "Elastic wave, Far field, Fourier transform, Inverse source problem, Multi-frequency",

author = "Minghui Song and Xianchao Wang",

note = "Publisher Copyright: {\textcopyright} 2019 Global-Science Press.",

year = "2019",

month = may,

doi = "10.4208/eajam.250518.041118",

language = "英语",

volume = "9",

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journal = "East Asian Journal on Applied Mathematics",

issn = "2079-7362",

publisher = "Global Science Press",

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T1 - A fourier method to recover elastic sources with multi-frequency data

AU - Song, Minghui

AU - Wang, Xianchao

PY - 2019/5

Y1 - 2019/5

N2 - An inverse source problem for elastic waves in isotropic homogeneous media is considered and a Fourier transform based multi-frequency approach to determine the elastic source is proposed. This is an easily implementable fast non-iterative inversion scheme. The stability estimate is derived. Numerical examples demonstrate the effectiveness of the method.

AB - An inverse source problem for elastic waves in isotropic homogeneous media is considered and a Fourier transform based multi-frequency approach to determine the elastic source is proposed. This is an easily implementable fast non-iterative inversion scheme. The stability estimate is derived. Numerical examples demonstrate the effectiveness of the method.

KW - Elastic wave

KW - Far field

KW - Fourier transform

KW - Inverse source problem

KW - Multi-frequency

UR - https://www.scopus.com/pages/publications/85074304097

U2 - 10.4208/eajam.250518.041118

DO - 10.4208/eajam.250518.041118

M3 - 文章

AN - SCOPUS:85074304097

SN - 2079-7362

VL - 9

SP - 369

EP - 385

JO - East Asian Journal on Applied Mathematics

JF - East Asian Journal on Applied Mathematics

IS - 2

ER -

A fourier method to recover elastic sources with multi-frequency data

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Keywords

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