Due to the fundamental solutions are employed as basis functions, the localized method of
fundamental solution can obtain more accurate numerical results than other localized …

A new global and direct integral formulation (GDIF) is presented for 2D potential problems.
The'global'and'direct'mean that Gaussian quadrature can be applied directly to the entire …

In science and engineering, partial differential equations (PDEs) are employed for modeling
and comprehending an extensive variety of physical phenomena. Solving these equations …

Stress fields of anti-plane finite elastic solids containing hole subjected to the traction or
displacement boundaries are studied by using the method of fundamental solutions (MFS) in …

The boundary element method (BEM) and the method of fundamental solutions (MFS) are
well-known fundamental solution-based methods for solving a variety of problems. Both …

The velocity and trajectory of particles moving along the corrugated (rough) surface under
the action of gravity is obtained by a modified Method of Fundamental Solutions (MFS). This …

This paper extends the method of fundamental solutions (MFS) for solving the boundary
value problems of analytic functions based on Cauchy-Riemann equations and properties of …

The Method of Fundamental Solutions: Theory and Applications Page 1 Current Natural
Sciences Zi-Cai LI, Hung-Tsai HUANG, Yimin WEI and Liping ZHANG The Method of …

In this article, we study a novel computational technique for the efficient numerical solution of
the inverse boundary identification problem with uncertain data in two dimensions. The …

In the past few decades, although traditional computational methods such as finite element
have been successfully used in many scientific and engineering fields, they still face several …