High-order absorbing boundary conditions with edge and corner compatibility for the Helmholtz equation

Axel Modave, Vanessa Mattesi and Christophe Geuzaine
septembre, 2017
Publication type:
International conference with proceedings
Conference:
ACOMEN 2017 (Ghent, Belgium)
Keywords :
Helmholtz equation; Finite element method; Radiation boundary condition; Corner compatibility;
Abstract:
We deal with the finite element solution of 3D time-harmonic acoustic wave problems defined on unbounded domains, but computed using cuboidal computational domains with artificial boundaries. We combine a standard finite element method for the Helmholtz equation with high-order absorbing boundary conditions (on the faces of the domain) and compatibility relations (on the edges and the corners) that provide an arbitrary high accuracy.
BibTeX:
@inproceedings{Mod-Mat-Geu-2017,
    author={Axel Modave and Vanessa Mattesi and Christophe Geuzaine },
    title={High-order absorbing boundary conditions with edge and corner 
           compatibility for the Helmholtz equation },
    organization={ACOMEN 2017 (Ghent, Belgium) },
    year={2017 },
    month={9},
}