In the earlier paper, it is known that the solution accuracy usually can not be monotonically
increased as the temporal discretization interval decreases when the standard finite element …

In this paper, a novel hybrid collocation scheme based on the generalized finite difference
method (GFDM) and the Burton–Miller singular boundary method (BMSBM) is developed to …

Isotropic porous materials retain the same physical properties in any direction, regardless of
the measurement direction. Therefore, mechanical metamaterials with isotropic properties …

In this article, a novel meshless local collocation method is proposed for the numerical
solution of the three-dimensional (3D) extended Fisher–Kolmogorov (EFK) equation. The …

This paper presents the localized collocation solver based on fundamental solutions to 3D
elastic wave propagation analysis. In the proposed collocation solver, the approximated …

The traditional finite element method (FEM) could only provide acceptable numerical
solutions for the Helmholtz equation in the relatively small wave number range due to …

This paper formulates a semi-analytical boundary meshless method, the singular boundary
method (SBM), to simulate the anti-plane wave motion in the heterogeneous media. Two …

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

The underwater acoustic wave propagation problem is an important issue in ocean
engineering field. The classical finite element approach with edge-based smoothed gradient …

Rapid calculation of large-scale acoustic scattering from complex targets is the basis of
many acoustic technologies. The key issue is to efficiently solve the dense and ill …