Showing math.NAShow all
3 papers · 1 filter
math.NA2025
A robust and adaptive GenEO-type domain decomposition preconditioner for problems in three-dimensional general topologies
Niall Bootland, Victorita Dolean, Frédéric Nataf +1
In this paper we design, analyse and test domain decomposition methods for linear systems of equations arising from conforming finite element discretisations of positive Maxwell-ty…
math.NA2025
Numerical assessment of PML transmission conditions in a domain decomposition method for the Helmholtz equation
Niall Bootland, Sahar Borzooei, Victorita Dolean +1
The convergence rate of domain decomposition methods (DDMs) strongly depends on the transmission condition at the interfaces between subdomains. Thus, an important aspect in improv…
math.NA2024
Multipreconditioning with directional sweeping methods for high-frequency Helmholtz problems
Niall Bootland, Tyrone Rees
We consider the use of multipreconditioning, which allows for multiple preconditioners to be applied in parallel, on high-frequency Helmholtz problems. Typical applications present…