Some Aspects of the Method of Fundamental Solutions for Certain Harmonic Problems
Journal of Scientific Computing
A meshless method for solving an inverse spacewise-dependent heat source problem
Journal of Computational Physics
Multi-level meshless methods based on direct multi-elliptic interpolation
Journal of Computational and Applied Mathematics
An accurate, stable and efficient domain-type meshless method for the solution of MHD flow problems
Journal of Computational Physics
Boundary point method for linear elasticity using constant and quadratic moving elements
Advances in Engineering Software
A multilayer method of fundamental solutions for Stokes flow problems
Journal of Computational Physics
Analysis of cutoff wavelength of elliptical waveguide by regularized meshless method
International Journal of Numerical Modelling: Electronic Networks, Devices and Fields
Improved singular boundary method for elasticity problems
Computers and Structures
Hi-index | 31.46 |
In this article, a non-singular and boundary-type meshless method in two dimensions is developed to solve the potential problems. The solution is represented by a distribution of the kernel functions of double layer potentials. By using the desingularization technique to regularize the singularity and hypersingularity of the kernel functions, the source points can be located on the real boundary and therefore the diagonal terms of influence matrices are determined. The main difficulty of the coincidence of the source and collocation points then disappears. By employing the two-point function, the off-diagonal coefficients of influence matrices are easily obtained. The numerical evidences of the proposed meshless method demonstrate the accuracy of the solutions after comparing with the results of exact solution, conventional MFS and BEM for the Dirichlet, Neumann and mix-type boundary conditions (BCs) of interior and exterior problems with simple and complicated boundaries. Good agreements with exact solutions are observed.