4 papers · 1 filter
Coercivity, essential norms, and the Galerkin method for second-kind integral equations on polyhedral and Lipschitz domains
Simon N. Chandler-Wilde, Euan A. Spence
It is well known that, with a particular choice of norm, the classical double-layer potential operator has essential norm as an operator on the natural trace space $H^{1…
A variational interpretation of Restricted Additive Schwarz with impedance transmission condition for the Helmholtz problem
Shihua Gong, Martin J. Gander, Ivan G. Graham +1
In this paper we revisit the Restricted Additive Schwarz method for solving discretized Helmholtz problems, using impedance boundary conditions on subdomains (sometimes called ORAS…
Domain decomposition preconditioners for high-order discretisations of the heterogeneous Helmholtz equation
Shihua Gong, Ivan G. Graham, Euan A. Spence
We consider one-level additive Schwarz domain decomposition preconditioners for the Helmholtz equation with variable coefficients (modelling wave propagation in heterogeneous media…
Domain Decomposition with local impedance conditions for the Helmholtz equation with absorption
I. G. Graham, E. A. Spence, J. Zou
We consider one-level additive Schwarz preconditioners for a family of Helmholtz problems with absorption and increasing wavenumber . These problems are discretized using the Ga…