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ABSTRACT

A Meshless Regularized Integral Equation Method (MRIEM) for Laplace Equation in Arbitrary Interior or Exterior Plane Domains

Chein-Shan Liu1

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

Abstract

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.

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Cite This Article

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



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