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Medientyp: E-Artikel Titel: Method of fundamental solutions: singular value decomposition analysis Beteiligte: Ramachandran, P. A. Erschienen: Wiley, 2002 Erschienen in: Communications in Numerical Methods in Engineering Sprache: Englisch DOI: 10.1002/cnm.537 ISSN: 1069-8299; 1099-0887 Entstehung: Anmerkungen: Beschreibung: <jats:title>Abstract</jats:title><jats:p>The method of fundamental solutions (also known as the singularity or the source method) is a useful technique for solving linear partial differential equations such as the Laplace or the Helmholtz equation. The procedure involves only boundary collocation or boundary fitting and hence is a very fast procedure for the solution of these classes of problems. The resulting coefficient matrix, is however ill‐conditioned and hence the solution accuracy is sensitive to the location of the source points. In this paper, an alternative solution procedure based on the singular value decomposition of the coefficient matrix is suggested and it is shown that the numerical results are extremely accurate (often within machine precision) and relatively independent of the location of the source points. Copyright © 2002 John Wiley & Sons, Ltd.</jats:p>