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The plane wave method for inverse problems associated with Helmholtz-type equations
- Source :
-
Engineering Analysis with Boundary Elements . Mar2008, Vol. 32 Issue 3, p223-240. 18p. - Publication Year :
- 2008
-
Abstract
- Abstract: In this paper, a numerical scheme based on the meshfree plane wave method applied to inverse boundary value problems associated with Helmholtz-type equations is investigated. The resulting ill-conditioned system of linear algebraic equations is solved in a stable manner by employing the truncated singular value decomposition, while the optimal truncation number, i.e. the regularization parameter, is determined using the -curve criterion. Numerical results are presented for two- and three-dimensional problems in smooth and piecewise smooth geometries, with both exact and noisy data. The accuracy, convergence and stability of the numerical method are analysed and, furthermore, a comparison with other meshless methods is also performed. [Copyright &y& Elsevier]
- Subjects :
- *NUMERICAL analysis
*MESHFREE methods
*HELMHOLTZ equation
*BOUNDARY element methods
Subjects
Details
- Language :
- English
- ISSN :
- 09557997
- Volume :
- 32
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Engineering Analysis with Boundary Elements
- Publication Type :
- Periodical
- Accession number :
- 28744313
- Full Text :
- https://doi.org/10.1016/j.enganabound.2007.08.005