Local absorbing boundary conditions on fixed domains give order-one errors for high-frequency waves
J Galkowski, D Lafontaine… - IMA Journal of Numerical …, 2024 - academic.oup.com
We consider approximating the solution of the Helmholtz exterior Dirichlet problem for a
nontrapping obstacle, with boundary data coming from plane-wave incidence, by the …
nontrapping obstacle, with boundary data coming from plane-wave incidence, by the …
Convergence of parallel overlapping domain decomposition methods for the Helmholtz equation
We analyse parallel overlapping Schwarz domain decomposition methods for the Helmholtz
equation, where the exchange of information between subdomains is achieved using first …
equation, where the exchange of information between subdomains is achieved using first …
Convergence of restricted additive Schwarz with impedance transmission conditions for discretised Helmholtz problems
The Restricted Additive Schwarz method with impedance transmission conditions, also
known as the Optimised Restricted Additive Schwarz (ORAS) method, is a simple …
known as the Optimised Restricted Additive Schwarz (ORAS) method, is a simple …
Convergence of overlapping domain decomposition methods with PML transmission conditions applied to nontrapping Helmholtz problems
We study overlapping Schwarz methods for the Helmholtz equation posed in any dimension
with large, real wavenumber and smooth variable wave speed. The radiation condition is …
with large, real wavenumber and smooth variable wave speed. The radiation condition is …