A comparison of coarse spaces for Helmholtz problems in the high frequency regime N Bootland, V Dolean, P Jolivet, PH Tournier
Computers & Mathematics with Applications 98, 239-253, 2021
33 2021 Solving periodic semilinear stiff PDEs in 1D, 2D and 3D with exponential integrators H Montanelli, N Bootland
Mathematics and Computers in Simulation 178, 307-327, 2020
30 2020 Preconditioners for Two-Phase Incompressible Navier–Stokes Flow N Bootland, A Bentley, C Kees, A Wathen
SIAM Journal on Scientific Computing 41 (4), B843-B869, 2019
29 2019 Overlapping Schwarz methods with GenEO coarse spaces for indefinite and nonself-adjoint problems N Bootland, V Dolean, IG Graham, C Ma, R Scheichl
IMA Journal of Numerical Analysis 43 (4), 1899-1936, 2023
17 2023 Analysis of parallel Schwarz algorithms for time-harmonic problems using block Toeplitz matrices N Bootland, V Dolean, A Kyriakis, J Pestana
Electronic Transactions on Numerical Analysis 55, 112-141, 2022
11 2022 GenEO coarse spaces for heterogeneous indefinite elliptic problems N Bootland, V Dolean, IG Graham, C Ma, R Scheichl
Domain Decomposition Methods in Science and Engineering XXVI, 117-125, 2023
10 2023 On the Dirichlet-to-Neumann coarse space for solving the Helmholtz problem using domain decomposition N Bootland, V Dolean
Numerical Mathematics and Advanced Applications ENUMATH 2019: European …, 2020
9 2020 Numerical assessment of PML transmission conditions in a domain decomposition method for the Helmholtz equation N Bootland, S Borzooei, V Dolean, PH Tournier
International Conference on Domain Decomposition Methods, 445-453, 2022
7 2022 Two-level DDM preconditioners for positive Maxwell equations N Bootland, V Dolean, F Nataf, PH Tournier
arXiv preprint arXiv:2012.02388, 2020
5 * 2020 Several ways to achieve robustness when solving wave propagation problems N Bootland, V Dolean, P Jolivet, F Nataf, S Operto, PH Tournier
Domain Decomposition Methods in Science and Engineering XXVI, 17-28, 2023
4 2023 Scalable two-phase flow solvers N Bootland
Doctoral thesis, University of Oxford, 2018
3 2018 Implementation details of the level set two-phase Navier–Stokes equations in Proteus A Bentley, N Bootland, A Wathen, C Kees
Tech. Report TR2017-10, Department of Mathematical Sciences, Clemson …, 2017
3 2017 Exponential integrators for stiff PDEs N Bootland
Master’s thesis, University of Oxford, 2014
3 2014 Can DtN and GenEO coarse spaces be sufficiently robust for heterogeneous Helmholtz problems? N Bootland, V Dolean
Mathematical and Computational Applications 27 (3), 35, 2022
1 2022 Multipreconditioning with application to two-phase incompressible Navier–Stokes flow N Bootland, A Wathen
Numerical Mathematics and Advanced Applications ENUMATH 2019, 165-173, 2021
1 2021 Coarse spaces for Helmholtz N Bootland
Presentation for the Scottish Numerical Methods Network 2019 Workshop on …, 2019
1 2019 Solving stiff PDEs in 1D, 2D and 3D with exponential integrators H Montanelli, N Bootland
Preprint, 2016
1 2016 Multipreconditioning with directional sweeping methods for high-frequency Helmholtz problems N Bootland, T Rees
arXiv preprint arXiv:2408.11929, 2024
2024 A robust and adaptive GenEO-type domain decomposition preconditioner for problems in general non-convex three-dimensional geometries N Bootland, V Dolean, F Nataf, PH Tournier
2023 A robust and adaptive GenEO-type domain decomposition preconditioner for problems in three-dimensional general topologies N Bootland, V Dolean, F Nataf, PH Tournier
arXiv preprint arXiv:2311.18783, 2023
2023