TY - EJOU AU - Tsangaris, T. AU - Smyrlis, Y.–S. AU - Karageorghis, A. TI - A Matrix Decomposition MFS Algorithm for Biharmonic Problems in Annular Domains T2 - Computers, Materials \& Continua PY - 2004 VL - 1 IS - 3 SN - 1546-2226 AB - The Method of Fundamental Solutions (MFS) is a boundary-type method for the solution of certain elliptic boundary value problems. In this work, we develop an efficient matrix decomposition MFS algorithm for the solution of biharmonic problems in annular domains. The circulant structure of the matrices involved in the MFS discretization is exploited by using Fast Fourier Transforms. The algorithm is tested numerically on several examples. KW - Method of fundamental solutions KW - biharmonic equation KW - circulant matrices KW - annular domains KW - fast Fourier transform DO - 10.3970/cmc.2004.001.245