TY - JOUR
T1 - Quasi-local transmission conditions for non-overlapping domain decomposition methods for the Helmholtz equation
AU - Lecouvez, Matthieu
AU - Stupfel, Bruno
AU - Joly, Patrick
AU - Collino, Francis
PY - 2014/1/1
Y1 - 2014/1/1
N2 - In this article, we present new transmission conditions for a domain decomposition method, applied to a scattering problem. Unlike other conditions used in the literature, the conditions developed here are non-local, but can be written as an integral operator (as a Riesz potential) on the interface between two domains. This operator, of order 12, leads to an exponential convergence of the domain decomposition algorithm. A spectral analysis of the influence of the operator on simple cases is presented, as well as some numerical results and comparisons.
AB - In this article, we present new transmission conditions for a domain decomposition method, applied to a scattering problem. Unlike other conditions used in the literature, the conditions developed here are non-local, but can be written as an integral operator (as a Riesz potential) on the interface between two domains. This operator, of order 12, leads to an exponential convergence of the domain decomposition algorithm. A spectral analysis of the influence of the operator on simple cases is presented, as well as some numerical results and comparisons.
KW - Domain decomposition
KW - Riesz potential
KW - Scattering
KW - Transmission conditions
U2 - 10.1016/j.crhy.2014.04.005
DO - 10.1016/j.crhy.2014.04.005
M3 - Short survey
AN - SCOPUS:84902535890
SN - 1631-0705
VL - 15
SP - 403
EP - 414
JO - Comptes Rendus Physique
JF - Comptes Rendus Physique
IS - 5
ER -