| Source | icces, Vol. 3, No. 2, pp. 57-68 |
| Download | Full length paper in PDF format. Size = 128,785 bytes |
| Keywords | Laplace equation, Meshless method, Regularized integral equation, Artificial circle, Arbitrary plane domain. |
| 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. |