Dr Niall Bootland

Research Associate

Mathematics and Statistics

Personal statement

I work with Prof Victorita Dolean as a research associate in scientific computing of wave scattering problems and applications. We are interested in domain decomposition methods for solving frequency domain wave propagation problems, such as those modelled by the Helmholtz or time-harmonic Maxwell equations. These models have applications in electromagnetics, geophysics and medical imaging, amongst others.

Previously I completed my doctorate under Prof Andy Wathen in collaboration with the US Army Coastal and Hydraulics Laboratory where I worked on scalable two-phase flow solvers, in particular focusing on preconditioning for variable coefficient Navier–Stokes equations.


You can find me at these upcoming events:

  • DD26  7 Dec to 11 Dec 2020  Hong Kong (now online)
  • SIAM CSE 2021 — 1 Mar to 5 Mar 2021 — Fort Worth, Texas, USA (and online)
  • SIAM ALA 2021 — 17 May to 21 May 20201 — New Orleans, Louisiana, USA (and online)

or else feel free to drop me an email if you are interested in my work.

You can also find my ResearchGate profile here and my Google Scholar profile here.


Has expertise in:

    Preconditioning; Domain Decomposition Methods; Numerical Linear Algebra; Scientific Computing; Numerical Analysis; Computational Physics; Industrial Mathematics


A comparison of coarse spaces for Helmholtz problems in the high frequency regime
Bootland Niall, Dolean Victorita, Jolivet Pierre, Tournier Pierre-Henri
Computers and Mathematics with Applications Vol 98, pp. 239-253 (2021)
GenEO coarse spaces for heterogeneous indefinite elliptic problems
Bootland Niall, Dolean Victorita, Graham Ivan G, Ma Chupeng, Scheichl Robert
Several ways to achieve robustness when solving wave propagation problems
Bootland Niall, Dolean Victorita, Jolivet Pierre, Nataf Frédéric, Operto Stéphane, Tournier Pierre-Henri
On the Dirichlet-to-Neumann coarse space for solving the Helmholtz problem using domain decomposition
Bootland Niall, Dolean Victorita
Numerical Mathematics and Advanced Applications, ENUMATH 2019 - European Conference European Numerical Mathematics and Advanced Applications Conference 2019 Lecture Notes in Computational Science and Engineering Vol 139, pp. 175-184 (2021)
Inexact subdomain solves using deflated GMRES for Helmholtz problems
Bootland N, Dwarka V, Jolivet P, Dolean V, Vuik C
A comparison of coarse spaces for Helmholtz problems in the high frequency regime
Bootland Niall, Dolean Victorita, Jolivet Pierre, Tournier Pierre-Henri

More publications

Research interests

My wider interests lie in computational methods for solving challenging problems rooted in applications, typically stemming from PDE models which are discretised by finite elements, and developing novel algorithms that are efficient and robust to model parameters. My focus if primarily on the numerical linear algebra tools that are at the centre of effective computational simulations.

Professional activities

SIAM Conference on Applied Linear Algebra
Minisymposium on Scalable Solvers for the Helmholtz Problem
Minisymposium on Preconditioning Methods for Frequency Domain Wave Problems
Minisymposium on Recent Advances in Numerical Simulation of Incompressible Flows
Workshop on Iterative Methods for Partial Differential Equations, Scottish Numerical Methods Network 2019
Workshop on Parallel Solution Methods for Systems Arising from PDEs

More professional activities


Mathematics and Statistics
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