Open Science Research Excellence
%0 Journal Article
%A Jieer Wu and  Zheshu Ma
%D 2012 
%J  International Journal of Physical and Mathematical Sciences
%B World Academy of Science, Engineering and Technology
%I International Science Index 68, 2012
%T On Method of Fundamental Solution for Nondestructive Testing
%V 68
%X 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.
%P 983 - 986