Prefer a chat interface with context about you and your work?
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 approximated by a Cartesian perfectly-matched layer (PML). The domain-decomposition subdomains are overlapping hyperrectangles with Cartesian PMLs at their boundaries. The overlaps of the subdomains …