عنوان	Determining the optimal source points in MFS by minimizing an energy gap functional for 3D Laplace operator
نوع پژوهش	مقاله چاپ شده
کلیدواژه‌ها	Method of fundamental solution, Laplace equation, Energy gap functional
چکیده	In this paper, an extended version of the method of minimizing an energy gap functional for determining the optimal source points in the method of fundamental solutions (MFS) is applied to the 3D Laplace operator subject to the Dirichlet and Neumann boundary conditions. As we know, the MFS is a more popular meshless method for solving boundary or initial–boundary value problems due to its simplicity and high accuracy. However, the accuracy of the MFS depends strongly on the distribution of the source points. Finally, some of the numerical experiments are carried out to express the simplicity and effectiveness of the presented method.
پژوهشگران	مجتبی سجادمنش (نفر اول)، Hassen Aydi (نفر سوم)، شهین شکیب خانقاه (نفر دوم)