Ivan G. Graham

activity

20162026

most citedRecent Results on Domain Decomposition Preconditioning for the High-frequency Helmholtz Equation using Absorption

3 citations · 3 across the 10 of their papers we have counts for

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math.NA2025

Quasi-Monte Carlo methods for uncertainty quantification of wave propagation and scattering problems modelled by the Helmholtz equation

Ivan G. Graham, Frances Y. Kuo, Dirk Nuyens +2

We analyse and implement a quasi-Monte Carlo (QMC) finite element method (FEM) for the forward problem of uncertainty quantification (UQ) for the Helmholtz equation with random coe…

math.NA2025

Theory of two-level Schwarz preconditioners with piecewise-polynomial coarse spaces for the high-frequency Helmholtz equation

Ivan G. Graham, Euan A. Spence

We analyse the classic two-level additive Schwarz domain-decomposition GMRES preconditioner for finite-element discretisations of the Helmholtz equation with large wavenumber $k$ ,…