Excellence in Research and Innovation for Humanity

Jieer Wu

Publications

1

Publications

1
5950
On Method of Fundamental Solution for Nondestructive Testing
Abstract:
Nondestructive testing in engineering is an inverse Cauchy problem for Laplace equation. In this paper the problem of nondestructive testing is expressed by a Laplace-s equation with third-kind boundary conditions. In order to find unknown values on the boundary, the method of fundamental solution is introduced and realized. Because of the ill-posedness of studied problems, the TSVD regularization technique in combination with L-curve criteria and Generalized Cross Validation criteria is employed. Numerical results are shown that the TSVD method combined with L-curve criteria is more efficient than the TSVD method combined with GCV criteria. The abstract goes here.
Keywords:
ill-posed,TSVD, Laplace's equation,inverse problem, L-curve, Generalized Cross Validation.