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math.NA2023
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…
math.NA2022
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…
math.NA2021
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…