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 |