The pronounced numerical dispersions and numerical anisotropy make solutions from the
finite element model using low-order elements unreliable for the time-harmonic acoustic …

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 …

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

This work presents a novel simulation approach to couple the meshfree radial point
interpolation method (RPIM) with the implicit direct time integration method for the transient …

In this paper, a meshless collocation method is introduced for two-dimensional (2D) and
three-dimensional (3D) transient elastodynamic problems by applying the generalized finite …

In this work, the novel quadrilateral overlapping element incorporated with the harmonic
trigonometric functions is presented to reduce the efforts in mesh division for modal analysis …

This paper proposes a fast meshless scheme for acoustic sensitivity analysis by using the
Burton–Miller-type singular boundary method (BM-SBM) and recursive skeletonization …

Abstract In this paper, a 2.5 D singular boundary method (SBM) in conjunction with the direct
differentiation method (DDM) and adjoint variable method (AVM) are formulated for the …

A boundary point interpolation method (BPIM) is presented in this paper for numerical
solving acoustic problems. The BPIM is a boundary-type meshless method that combines …

Underwater acoustic propagation plays a very important role in underwater communication
and ocean engineering field. The radial point interpolation method (RPIM) is an effective …