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On a Meshfree Method for Singular Problems
Department of Mathematics, University of Iowa, Iowa City, IA 52242, U.S.A.
Computer Modeling in Engineering & Sciences 2002, 3(1), 65-76. https://doi.org/10.3970/cmes.2002.003.065
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Interests in meshfree (or meshless) methods have grown rapidly in the recent years in solving boundary value problems arising in mechanics, especially in dealing with difficult problems involving large deformation, moving discontinuities, etc. Rigorous error estimates of a meshfree method, the reproducing kernel particle method, for smooth solutions have been theoretically derived and experimentally tested in Han, Meng (2001). In this paper, we provide an error analysis of the meshfree method for solving problems with singular solutions. The results are presented in the context of one-dimensional problems. The error estimates are of optimal order and are supported by numerical results.Cite This Article
APA Style
Han, W., Meng, X. (2002). On a meshfree method for singular problems. Computer Modeling in Engineering & Sciences, 3(1), 65-76. https://doi.org/10.3970/cmes.2002.003.065
Vancouver Style
Han W, Meng X. On a meshfree method for singular problems. Comput Model Eng Sci. 2002;3(1):65-76 https://doi.org/10.3970/cmes.2002.003.065
IEEE Style
W. Han and X. Meng, "On a Meshfree Method for Singular Problems," Comput. Model. Eng. Sci., vol. 3, no. 1, pp. 65-76. 2002. https://doi.org/10.3970/cmes.2002.003.065
Copyright © 2002 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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