49 citations · 144 across the 45 of their papers we have counts for
4 papers · 1 filter
Schwarz methods with PMLs for Helmholtz problems: fast convergence at high frequency
Jeffrey Galkowski, Shihua Gong, Ivan G. Graham +2
We discuss parallel (additive) and sequential (multiplicative) variants of overlapping Schwarz methods for the Helmholtz equation in , with large real wavenumber and…
Sharp error bounds for edge-element discretisations of the high-frequency Maxwell equations
Théophile Chaumont-Frelet, Jeffrey Galkowski, Euan A. Spence
We prove sharp wavenumber-explicit error bounds for first- or second-family-Nédélec-element (a.k.a. edge-element) conforming discretisations, of arbitrary (fixed) order, of the var…
Convergence of overlapping domain decomposition methods with PML transmission conditions applied to nontrapping Helmholtz problems
Jeffrey Galkowski, Shihua Gong, Ivan G. Graham +2
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 approx…
The geometric error is less than the pollution error when solving the high-frequency Helmholtz equation with high-order FEM on curved domains
Théophile Chaumont-Frelet, Euan A. Spence
We consider the -version of the finite-element method, where accuracy is increased by decreasing the meshwidth while keeping the polynomial degree constant, applied to t…