A non-overlapping domain decomposition method (DDM) is proposed for the parallel finite-
element solution of large-scale time-harmonic wave problems. It is well-known that the …

It is well-known that the convergence rate of non-overlapping domain decomposition
methods (DDMs) applied to the parallel finite-element solution of large-scale time-harmonic …

Non-overlapping Schwarz methods with generalized Robin transmission conditions were
originally introduced by B. Després for time-harmonic wave propagation problems and have …

We analyse parallel overlapping Schwarz domain decomposition methods for the Helmholtz
equation, where the exchange of information between subdomains is achieved using first …

The pioneering work of B. Després then M. Gander, F. Magoulès and F. Nataf have shown
that it is mandatory, at least in the context of wave equations, to use impedance type …

We study a mathematical framework for the construction of domain decomposition methods
(DDM) for the model Helmholtz equation with high order transmission conditions and cross …

We consider a scalar wave propagation in harmonic regime modelled by Helmholtz
equation with heterogeneous coefficients. Using the Multi-Trace Formalism (MTF), we …

The Restricted Additive Schwarz method with impedance transmission conditions, also
known as the Optimised Restricted Additive Schwarz (ORAS) method, is a simple …

Cross-points in domain decomposition, ie, points where more than two subdomains meet,
have received substantial attention over the past years, since domain decomposition …

A new hybridizable discontinuous Galerkin method, named the CHDG method, is proposed
for solving time-harmonic scalar wave propagation problems. This method relies on a …