Convergence theory for two-level hybrid Schwarz preconditioners for
high-frequency Helmholtz problems
Convergence theory for two-level hybrid Schwarz preconditioners for
high-frequency Helmholtz problems
We give a novel convergence theory for two-level hybrid Schwarz domain-decomposition (DD) methods for finite-element discretisations of the high-frequency Helmholtz equation. This theory gives sufficient conditions for the preconditioned matrix to be close to the identity, and covers DD subdomains of arbitrary size, and arbitrary absorbing layers/boundary conditions on both …