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A Regularized Method of Fundamental Solutions Without Desingularization
Computer Modeling in Engineering & Sciences 2013, 92(1), 103-121. https://doi.org/10.3970/cmes.2013.092.103
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Some regularized versions of the Method of Fundamental Solutions are investigated. The problem of singularity of the applied method is circumvented in various ways using truncated or modified fundamental solutions, or higher order fundamental solutions which are continuous at the origin. For pure Dirichlet problems, these techniques seem to be applicable without special additional tools. In the presence of Neumann boundary condition, however, they need some desingularization techniques to eliminate the appearing strong singularity. Using fundamental solutions concentrated to lines instead of points, the desingularization can be omitted. The method is illustrated via numerical examples.Keywords
Method of Fundamental Solutions, regularization, desingularization
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APA Style
Gáspár, C. (2013). A regularized method of fundamental solutions without desingularization. Computer Modeling in Engineering & Sciences, 92(1), 103–121. https://doi.org/10.3970/cmes.2013.092.103
Vancouver Style
Gáspár C. A regularized method of fundamental solutions without desingularization. Comput Model Eng Sci. 2013;92(1):103–121. https://doi.org/10.3970/cmes.2013.092.103
IEEE Style
C. Gáspár, “A Regularized Method of Fundamental Solutions Without Desingularization,” Comput. Model. Eng. Sci., vol. 92, no. 1, pp. 103–121, 2013. https://doi.org/10.3970/cmes.2013.092.103
Copyright © 2013 The Author(s). Published by Tech Science Press.This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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