Combinations of the method of fundamental solutions for general inverse source identification problems

Fuzhang Wang; Wen Chen; Leevan Ling

doi:10.1016/j.amc.2012.07.027

Combinations of the method of fundamental solutions for general inverse source identification problems

Fuzhang Wang^*
, Wen Chen
, Leevan Ling

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Journal article › peer-review

29 Citations (Scopus)

Abstract

In this paper, a new general scheme, based on the method of fundamental solutions, is presented for inverse source identification problems. This is fulfilled by coupling a linear combination of fundamental solutions and radial basis functions associated with particular solutions. Under this scheme, we can determine harmonic and nonharmonic source terms from partially accessible boundary measurements. Numerical results for several general inverse source identification problems show that the proposed numerical algorithm is simple, accurate, stable and computationally efficient.

Original language	English
Pages (from-to)	1173-1182
Number of pages	10
Journal	Applied Mathematics and Computation
Volume	219
Issue number	3
DOIs	https://doi.org/10.1016/j.amc.2012.07.027
Publication status	Published - 15 Oct 2012

User-Defined Keywords

Dual reciprocity method
Laplace equation
Method of fundamental solutions
Nonharmonic source function
Nonhomogeneous Cauchy problem

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10.1016/j.amc.2012.07.027

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title = "Combinations of the method of fundamental solutions for general inverse source identification problems",

abstract = "In this paper, a new general scheme, based on the method of fundamental solutions, is presented for inverse source identification problems. This is fulfilled by coupling a linear combination of fundamental solutions and radial basis functions associated with particular solutions. Under this scheme, we can determine harmonic and nonharmonic source terms from partially accessible boundary measurements. Numerical results for several general inverse source identification problems show that the proposed numerical algorithm is simple, accurate, stable and computationally efficient.",

keywords = "Dual reciprocity method, Laplace equation, Method of fundamental solutions, Nonharmonic source function, Nonhomogeneous Cauchy problem",

author = "Fuzhang Wang and Wen Chen and Leevan Ling",

note = "Funding Information: The work was supported by a research project funded by Huaibei Normal University (Project No. 2012xq44) and a research project funded by the National Basic Research Program of China (Project No. 2010CB832702). This project was also supported by the CERG Grant of Hong Kong Research Grant Council and the FRG Grant of Hong Kong Baptist University.",

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doi = "10.1016/j.amc.2012.07.027",

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T1 - Combinations of the method of fundamental solutions for general inverse source identification problems

AU - Wang, Fuzhang

AU - Chen, Wen

AU - Ling, Leevan

N1 - Funding Information: The work was supported by a research project funded by Huaibei Normal University (Project No. 2012xq44) and a research project funded by the National Basic Research Program of China (Project No. 2010CB832702). This project was also supported by the CERG Grant of Hong Kong Research Grant Council and the FRG Grant of Hong Kong Baptist University.

PY - 2012/10/15

Y1 - 2012/10/15

N2 - In this paper, a new general scheme, based on the method of fundamental solutions, is presented for inverse source identification problems. This is fulfilled by coupling a linear combination of fundamental solutions and radial basis functions associated with particular solutions. Under this scheme, we can determine harmonic and nonharmonic source terms from partially accessible boundary measurements. Numerical results for several general inverse source identification problems show that the proposed numerical algorithm is simple, accurate, stable and computationally efficient.

AB - In this paper, a new general scheme, based on the method of fundamental solutions, is presented for inverse source identification problems. This is fulfilled by coupling a linear combination of fundamental solutions and radial basis functions associated with particular solutions. Under this scheme, we can determine harmonic and nonharmonic source terms from partially accessible boundary measurements. Numerical results for several general inverse source identification problems show that the proposed numerical algorithm is simple, accurate, stable and computationally efficient.

KW - Dual reciprocity method

KW - Laplace equation

KW - Method of fundamental solutions

KW - Nonharmonic source function

KW - Nonhomogeneous Cauchy problem

UR - https://www.scopus.com/pages/publications/84867333631

U2 - 10.1016/j.amc.2012.07.027

DO - 10.1016/j.amc.2012.07.027

M3 - Journal article

AN - SCOPUS:84867333631

SN - 0096-3003

VL - 219

SP - 1173

EP - 1182

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 3

ER -

Combinations of the method of fundamental solutions for general inverse source identification problems

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