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20102022
most citedDomain decomposition preconditioning for the high-frequency time-harmonic Maxwell equations with absorption

49 citations · 96 across the 20 of their papers we have counts for

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Showing 2018Show all

3 papers · 1 filter

math.NA2018

Analysis of quasi-Monte Carlo methods for elliptic eigenvalue problems with stochastic coefficients

Alexander D. Gilbert, Ivan G. Graham, Frances Y. Kuo +2

We consider the forward problem of uncertainty quantification for the generalised Dirichlet eigenvalue problem for a coercive second order partial differential operator with random…

math.NA2018★ 5 cited

Domain Decomposition with local impedance conditions for the Helmholtz equation with absorption

I. G. Graham, E. A. Spence, J. Zou

We consider one-level additive Schwarz preconditioners for a family of Helmholtz problems with absorption and increasing wavenumber . These problems are discretized using the Ga…

math.AP2018

The Helmholtz equation in heterogeneous media: a priori bounds, well-posedness, and resonances

Ivan G. Graham, Owen R. Pembery, Euan A. Spence

We consider the exterior Dirichlet problem for the heterogeneous Helmholtz equation, i.e. the equation where both and are functions…