We present a high-order boundary integral equation (BIE) method for the frequency-domain
acoustic scattering of a point source by a singly-periodic, infinite, corrugated boundary. We …

In this letter, using subtraction and adding‐back (SAB), the authors propose a regularized
method of fundamental solution (RMPS) for solving the electromagnetic (EM) scattering …

In the realm of fluid dynamics, a curious and counterintuitive phenomenon is Stokes'
paradox. While Stokes equations--used for modeling slow and steady flows--lead to a …

Some inverse problems of Stokes flow, including noisy boundary conditions, unknown
angular velocity, and dynamic viscous constant identification are studied in this paper. The …

The method of fundamental solutions (MFS) is a boundary-type and truly meshfree method,
which is recognized as an efficient numerical tool for solving boundary value problems. The …

This paper expands the method of fundamental solutions (MFS) to solve the anti-plane crack
problems based on the traditional fundamental solution by the conformal mapping technique …

In this study, an efficient meshfree numerical method is introduced for solving the nonlinear
boundary value problems. The method of fundamental solutions (MFS) is one of the most …

The double-porosity saturated medium is widespread in the Earth's crust, rocks and man-
made materials. In this paper, we developed the indirect boundary integral equation method …

The null-field method (NFM) and the method of auxiliary sources (MAS) have been both
used extensively for the numerical solution of boundary-value problems arising in diverse …

In this paper, we propose a new geometric model that includes a fourth-order partial
differential equation (PDE) for reconstructing 2D curves. For instance, we use this model to …