29 citations · 77 across the 13 of their papers we have counts for
4 papers · 2 filters
Two-level DDM preconditioners for positive Maxwell equations
Niall Bootland, Victorita Dolean, Frédéric Nataf +1
In this paper we develop and analyse domain decomposition methods for linear systems of equations arising from conforming finite element discretisations of positive Maxwell-type eq…
A comparison of coarse spaces for Helmholtz problems in the high frequency regime
Niall Bootland, Victorita Dolean, Pierre Jolivet +1
Solving time-harmonic wave propagation problems in the frequency domain and within heterogeneous media brings many mathematical and computational challenges, especially in the high…
Analysis of parallel Schwarz algorithms for time-harmonic problems using block Toeplitz matrices
Niall Bootland, Victorita Dolean, Alexandros Kyriakis +1
In this work we study the convergence properties of the one-level parallel Schwarz method with Robin transmission conditions applied to the one-dimensional and two-dimensional Helm…
Multipreconditioning with application to two-phase incompressible Navier-Stokes flow
Niall Bootland, Andrew Wathen
We consider the use of multipreconditioning to solve linear systems when more than one preconditioner is available but the optimal choice is not known. In particular, we consider a…