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The method of fundamental solutions for eigenproblems with Laplace and biharmonic operators
Laboratory of Magnetohydrodynamics, Timurovtzev, 29 D, ap.51, 61142, Kharkov, Ukraine
Computers, Materials & Continua 2005, 2(3), 177-188. https://doi.org/10.3970/cmc.2005.002.177
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In this paper a new meshless method for eigenproblems with Laplace and biharmonic operators in simply and multiply connected domains is presented. The solution of an eigenvalue problem is reduced to a sequence of inhomogeneous problems with the differential operator studied. These problems are solved using the method of fundamental solutions. The method presented shows a high precision in simply and multiply connected domains. The results of the numerical experiments justifying the method are presented.Keywords
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APA Style
Reutskiy, S. (2005). The method of fundamental solutions for eigenproblems with laplace and biharmonic operators. Computers, Materials & Continua, 2(3), 177-188. https://doi.org/10.3970/cmc.2005.002.177
Vancouver Style
Reutskiy S. The method of fundamental solutions for eigenproblems with laplace and biharmonic operators. Comput Mater Contin. 2005;2(3):177-188 https://doi.org/10.3970/cmc.2005.002.177
IEEE Style
S. Reutskiy, “The method of fundamental solutions for eigenproblems with Laplace and biharmonic operators,” Comput. Mater. Contin., vol. 2, no. 3, pp. 177-188, 2005. https://doi.org/10.3970/cmc.2005.002.177
Copyright © 2005 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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