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ABSTRACT
A Meshless Regularized Integral Equation Method (MRIEM) for Laplace Equation in Arbitrary Interior or Exterior Plane Domains
Department of Mechanical and Mechatronic Engineering, Taiwan Ocean University, Keelung, Taiwan. E-mail: csliu@mail.ntou.edu.tw
The International Conference on Computational & Experimental Engineering and Sciences 2007, 3(2), 57-68. https://doi.org/10.3970/icces.2007.003.057
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A new method is developed to solve the interior and exterior Dirichlet problems for the two-dimensional Laplace equation, namely the meshless regularized integral equation method (MRIEM), which consists of three parts: Fourier series expansion, the second kind Fredholm integral equation and an analytically regularized solution of the unknown boundary condition on an artificial circle. We find that the new method is powerful even for the problem with very complex boundary shape and with boundary noise.Keywords
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APA Style
Liu, C. (2007). A meshless regularized integral equation method (MRIEM) for laplace equation in arbitrary interior or exterior plane domains. The International Conference on Computational & Experimental Engineering and Sciences, 3(2), 57-68. https://doi.org/10.3970/icces.2007.003.057
Vancouver Style
Liu C. A meshless regularized integral equation method (MRIEM) for laplace equation in arbitrary interior or exterior plane domains. Int Conf Comput Exp Eng Sciences . 2007;3(2):57-68 https://doi.org/10.3970/icces.2007.003.057
IEEE Style
C. Liu, “A Meshless Regularized Integral Equation Method (MRIEM) for Laplace Equation in Arbitrary Interior or Exterior Plane Domains,” Int. Conf. Comput. Exp. Eng. Sciences , vol. 3, no. 2, pp. 57-68, 2007. https://doi.org/10.3970/icces.2007.003.057
Copyright © 2007 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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