TY  - EJOU
AU  - Liu, Chein-Shan 

TI  - A Meshless Regularized Integral Equation Method for Laplace Equation in Arbitrary Interior or Exterior Plane Domains
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2007
VL  - 19
IS  - 1
SN  - 1526-1506

AB  - A new <i>meshless regularized integral equation method</i> (MRIEM) is developed to solve the interior and exterior Dirichlet problems for the two-dimensional Laplace equation, 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 <i>artificial</i> circle. We find that the new method is powerful even for the problem with complex boundary shape and with random noise disturbing the boundary data.
KW  - Laplace equation
KW  -  Meshless method
KW  -  Regularized integral equation
KW  -  Artificial circle

DO  - 10.3970/cmes.2007.019.099