@Article{cmes.2005.007.119,
AUTHOR = {Y.C. Hon, T. Wei},
TITLE = {The method of fundamental solution for solving multidimensional inverse heat conduction problems},
JOURNAL = {Computer Modeling in Engineering \& Sciences},
VOLUME = {7},
YEAR = {2005},
NUMBER = {2},
PAGES = {119--132},
URL = {http://www.techscience.com/CMES/v7n2/29723},
ISSN = {1526-1506},
ABSTRACT = {We propose in this paper an effective meshless and integration-free method for the numerical solution of multidimensional inverse heat conduction problems. Due to the use of fundamental solutions as basis functions, the method leads to a global approximation scheme in both the spatial and time domains. To tackle the ill-conditioning problem of the resultant linear system of equations, we apply the Tikhonov regularization method based on the generalized cross-validation criterion for choosing the regularization parameter to obtain a stable approximation to the solution. The effectiveness of the algorithm is illustrated by several numerical two- and three-dimensional examples.},
DOI = {10.3970/cmes.2005.007.119}
}