@Article{CiCP-6-625, author = {}, title = {Fast Spectral Collocation Method for Surface Integral Equations of Potential Problems in a Spheroid}, journal = {Communications in Computational Physics}, year = {2009}, volume = {6}, number = {3}, pages = {625--638}, abstract = {

This paper proposes a new technique to speed up the computation of the matrix of spectral collocation discretizations of surface single and double layer operators over a spheroid. The layer densities are approximated by a spectral expansion of spherical harmonics and the spectral collocation method is then used to solve surface integral equations of potential problems in a spheroid. With the proposed technique, the computation cost of collocation matrix entries is reduced from O(M2N4) to O(MN4), where Nis the number of spherical harmonics (i.e., size of the matrix) and M is the number of one-dimensional integration quadrature points. Numerical results demonstrate the spectral accuracy of the method.

}, issn = {1991-7120}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cicp/7697.html} }