, Under the simplifying assumptions µ 0 = · · · = µ n = 1 and ? 0 = · · · = ? n, ?? (1 ? ?)/(1 + ?)}. Proof: Let denote A = A (?,µ)
A quasi-optimal non-overlapping domain decomposition algorithm for the Helmholtz equation, J. Comput. Phys, vol.231, issue.2, p.262280, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-01094828
Essential spectrum of local multi-trace boundary integral operators, IMA J. Appl. Math, vol.81, issue.6, p.961983, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01251212
An introduction to multi-trace formulations and associated domain decomposition solvers, Appl. Numer. Math, vol.135, p.6986, 2019. ,
Multi-trace boundary integral formulation for acoustic scattering by composite structures, Comm. Pure Appl. Math, vol.66, issue.8, p.11631201, 2013. ,
Domain decomposition method for harmonic wave propagation: a general presentation, Vistas in domain decomposition and parallel processing in computational mechanics, vol.184, pp.171-211, 2000. ,
URL : https://hal.archives-ouvertes.fr/inria-00073216
Méthodes de décomposition de domaine pour les problèmes de propagation d'ondes en régime harmonique. Le théorème de Borg pour l'équation de Hill vectorielle ,
, Rocquencourt, 1991.
Multitrace formulations and Dirichlet-Neumann algorithms, Domain decomposition methods in science and engineering XXII, vol.104, p.147155, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-00949024
Optimized Schwarz methods, SIAM J. Numer. Anal, vol.44, issue.2, p.699731, 2006. ,
Multiple traces boundary integral formulation for Helmholtz transmission problems, Adv. Comput. Math, vol.37, issue.1, p.3991, 2012. ,
Domain decomposition for boundary integral equations via local multi-trace formulations, Domain decomposition methods in science and engineering XXI, vol.98, p.4357, 2014. ,
Strongly elliptic systems and boundary integral equations, 2000. ,
Factorization of the convection-diusion operator and the Schwarz algorithm, Math. Models Methods Appl. Sci, vol.5, issue.1, p.6793, 1995. ,
Integral representations for harmonic problems, Applied Mathematical Sciences, vol.144, 2001. ,
Boundary element methods, Springer Series in Computational Mathematics, vol.39, 2011. ,