Abstract
In this work we apply the Method of Fundamental Solutions (MFS) with fixed singularities and boundary collocation to certain axisymmetric harmonic and biharmonic problems. By exploiting the block circulant structure of the coefficient matrices appearing when the MFS is applied to such problems, we develop efficient matrix decomposition algorithms for their solution. The algorithms are tested on several examples
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AMS SUBJECT CLASSIFICATION: Primary 65N12; 65N38; Secondary 65N15; 65T50;35J25
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Tsangaris, T., Smyrlis, Y.S. & Karageorghis, A. A Matrix Decomposition MFS Algorithm for Problems in Hollow Axisymmetric Domains. J Sci Comput 28, 31–50 (2006). https://doi.org/10.1007/s10915-005-9006-3
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DOI: https://doi.org/10.1007/s10915-005-9006-3