Thin-walled structural problems have been a longstanding computational challenge. The
research bottleneck in applying the standard numerical methods for such problems arises …

The singular boundary method (SBM) is a relatively new meshless boundary collocation
method for the numerical solution of certain elliptic boundary value problems. The method …

A 2D elastic problem for a body containing a set of bulk and thin rigid inclusions of arbitrary
shapes is considered. It is assumed that rigid inclusions are bonded into elastic matrix. To …

This paper presents a simple approach to evaluate origin intensity factors of the singular
boundary method (SBM), a recent strong-form boundary discretization numerical technique …

We investigate the numerical reconstruction of smooth star-shaped voids (rigid inclusions
and cavities) which are compactly contained in a three-dimensional isotropic linear elastic …

Using the temperature information obtained from the boundary to identify internal defects of
the component is significant to ensure the reliability and safety of the structure. Based on the …

In this paper, we present the adaptive physics-informed neural networks (PINNs) for
resolving three dimensional (3D) dynamic thermo-mechanical coupling problems in large …

In part I, we considered the application of the method of fundamental solutions (MFS) for
solving numerically the Brinkman fluid flow in the unbounded porous medium outside …

We investigate the numerical reconstruction of smooth star-shaped voids contained in a two-
dimensional isotropic linear thermoelastic material from the knowledge of a single non …

A numerical method based on the method of fundamental solutions (MFS) and the method of
particular solutions (MPS) together with the successive-approximation iteration process is …