Infinite element schemes for unbounded wave problems are reviewed and a procedure is
presented forassessing their performance. A general computational scheme is implemented …

This work is devoted to review infinite element discretizations for the Helmholtz equation in
exterior domains, which have become popular in recent years, as many research papers on …

The distance between railway systems and buildings has been significantly reduced due to
the rapid development of public transportation. Environmental vibration is increasingly …

A symmetric PML formulation that is suitable for finite element computation of time-harmonic
acoustic waves in exterior domains is analyzed. Dispersion analysis displays the …

In this paper, the application of the method of fundamental solutions to the Cauchy problem
associated with two-dimensional Helmholtz-type equations is investigated. The resulting …

In this paper, an iterative algorithm based on the conjugate gradient method (CGM) in
combination with the boundary element method (BEM) for obtaining stable approximate …

In this paper, the iterative algorithm proposed by Kozlov et al.[Comput. Maths. Math. Phys.
31 (1991) 45] for obtaining approximate solutions to the ill-posed Cauchy problem for the …

This paper is concerned with transparent boundary conditions for the one dimensional time-
dependent Schrödinger equation. They are used to restrict the original PDE problem that is …

Comparing with the straight track, the curved track accounts for a large proportion with the
rapid development of metro networks. The train-induced horizontal vibrations, which can't be …

In this paper, the Cauchy problem of inhomogeneous Helmholtz equation is investigated.
This problem is ill-posed and the truncation method is used to solve this inverse problem …