To improve the accuracy of the standard finite element (FE) solutions for acoustic radiation
computation, this work presents the coupling of a radial point interpolation method (RPIM) …

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 …

It has been known that numerical solutions to Helmholtz problems obtained using several
numerical methodologies (eg finite element approach) are always plagued by the pollution …

The partition of unity based methods, such as the extended finite element method and the
numerical manifold method, are able to construct global functions that accurately reflect local …

Traditional finite element method (FEM) using linear triangular element is overly-stiff and
generally natural frequencies calculated would be too high. The newly developed node …

The paper presents an efficient and accurate algorithm to analyze the fluid/solid and
solid/fluid phononic crystals (PCs) with fluid structure interaction (FSI). In the proposed mass …

To improve the performance of the classical finite element method (FEM) in acoustic
analyses, in this work the interpolation cover functions are incorporated into the standard …

As is known to all, there always exists the numerical dispersive effects of the standard finite
element (FE) for the wave propagation problems and the corresponding FE solutions are …

Although the radial point interpolation method (RPIM), which is a typical meshless numerical
technique, usually behaves much better than the conventional FEM in addressing the …

The traditional method of fundamental solutions has a full interpolation matrix, and thus its
solution is computationally expensive, especially for large-scale problems with complicated …