6 papers
CQ-collocation BEMs for exterior wave propagation problems: the 3D Neumann case
Davide Collato, Silvia Falletta, Giovanni Monegato +1
In this paper, we consider three-dimensional exterior wave propagation problems with non-homogeneous Neumann boundary conditions. We reformulate the problem as a space-time boundar…
A spectral boundary element method for acoustic interference problems
Silvia Falletta, Stefan Sauter
In this paper we consider high-frequency acoustic transmission problems with jumping coefficients modelled by Helmholtz equations. The solution then is highly oscillatory and, in a…
A virtual element method for the solution of 2D time-harmonic elastic wave equations via scalar potentials
Silvia Falletta, Matteo Ferrari, Letizia Scuderi
In this paper, we propose and analyse a numerical method to solve 2D Dirichlet time-harmonic elastic wave equations. The procedure is based on the decoupling of the elastic vector…
CVEM-BEM coupling with decoupled orders for 2D exterior Poisson problems
Luca Desiderio, Silvia Falletta, Matteo Ferrari +1
For the solution of 2D exterior Dirichlet Poisson problems we propose the coupling of a Curved Virtual Element Method (CVEM) with a Boundary Element Method (BEM), by using decouple…
On the coupling of the Curved Virtual Element Method with the one-equation Boundary Element Method for 2D exterior Helmholtz problems
Luca Desiderio, Silvia Falletta, Matteo Ferrari +1
We consider the Helmholtz equation defined in unbounded domains, external to 2D bounded ones, endowed with a Dirichlet condition on the boundary and the Sommerfeld radiation condit…
Functional Estimates for Derivatives of the Modified Bessel Function and related Exponential Functions
Silvia Falletta, Stefan A. Sauter
Let denote the modified Bessel function of second kind and zeroth order. In this paper we will studying the function $\tildeω_{n}\left( x\right) :=\frac{\left( -x\right) ^{…