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:

7th International Conference on Advanced Computational Methods in Engineering (ACOMEN 2017) - Ghent (Belgium)

HAL:

hal-01588749

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={7th International Conference on Advanced Computational Methods 
           in Engineering (ACOMEN 2017) - Ghent (Belgium) },
    year={2017 },
    month={9},
}