research
∙
11/13/2022
Numerical assessment of PML transmission conditions in a domain decomposition method for the Helmholtz equation
The convergence rate of domain decomposition methods (DDMs) strongly dep...
share
research
∙
02/17/2022
Are spectral coarse spaces sufficiently robust for heterogeneous Helmholtz problems?
Numerical solution of heterogeneous Helmholtz problems presents various ...
research
∙
10/26/2021
Overlapping Schwarz methods with GenEO coarse spaces for indefinite and non-self-adjoint problems
GenEO ('Generalised Eigenvalue problems on the Overlap') is a method for...
research
∙
03/31/2021
Inexact subdomain solves using deflated GMRES for Helmholtz problems
We examine the use of a two-level deflation preconditioner combined with...
research
∙
03/30/2021
GenEO coarse spaces for heterogeneous indefinite elliptic problems
Motivated by recent work on coarse spaces for Helmholtz problems, we pro...
research
∙
03/10/2021
Several ways to achieve robustness when solving wave propagation problems
Wave propagation problems are notoriously difficult to solve. Time-harmo...
research
∙
12/04/2020
A comparison of coarse spaces for Helmholtz problems in the high frequency regime
Solving time-harmonic wave propagation problems in the frequency domain ...
research
∙
12/04/2020
Two-level DDM preconditioners for positive Maxwell equations
In this paper we develop and analyse domain decomposition methods for li...
research
∙
06/15/2020
Analysis of parallel Schwarz algorithms for time-harmonic problems using block Toeplitz matrices
In this work we study the convergence properties of the one-level parall...
research
∙
05/15/2020
Multipreconditioning with application to two-phase incompressible Navier-Stokes flow
We consider the use of multipreconditioning to solve linear systems when...
research
∙
12/12/2019