An enriched finite element method is presented to solve various wave propagation
problems. The proposed method is an extension of the procedure introduced by Kohno …

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 …

It is well known that Galerkin finite element methods suffer from pollution error when solving
wave problems. To reduce the pollution impact on the solution different approaches were …

In this paper, two high-order finite element models are investigated for the solution of two-
dimensional wave problems governed by the Helmholtz equation. Plane wave enriched …

Abstract The Acoustic Black Hole (ABH) phenomenon can be exploited to manipulate and
mitigate flexural wave propagation in thin-walled structures. ABH structures feature unique …

An efficient partition of unity finite element method for three-dimensional transient diffusion
problems is presented. A class of multiple exponential functions independent of time …

The efficient finite element discretization of the Helmholtz equation becomes challenging in
the medium frequency regime because of numerical dispersion, or what is often referred to …

An enriched partition of unity FEM is developed to solve time‐dependent diffusion problems.
In the present formulation, multiple exponential functions describing the spatial and temporal …

The Partition of Unity Finite Element Method is used to solve wave scattering problems
governed by the Helmholtz equation, involving one or more scatterers, in two dimensions …

We present a partition of unity finite element method for wave propagation problems in the
time domain using an explicit time integration scheme. Plane wave enrichment functions are …