Ivan G. Graham - researchr alias

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Viewing Publication 1 - 30 from 30

2022

Convergence of restricted additive Schwarz with impedance transmission conditions for discretised Helmholtz problemsShihua Gong, Ivan G. Graham, Euan A. Spence. moc, 92(339):175-215, September 2022. [doi]

Convergence of parallel overlapping domain decomposition methods for the Helmholtz equationShihua Gong, Martin J. Gander, Ivan G. Graham, David Lafontaine, Euan A. Spence. nm, 152(2):259-306, 2022. [doi]

2021

Multigrid preconditioners for the hybridised discontinuous Galerkin discretisation of the shallow water equationsJack D. Betteridge, Thomas H. Gibson, Ivan G. Graham, Eike Hermann Müller. jcphy, 426:109948, 2021. [doi]

Analysis of a Helmholtz preconditioning problem motivated by uncertainty quantificationIvan G. Graham, Owen R. Pembery, Euan A. Spence. adcm, 47(5):68, 2021. [doi]

2020

Unified Analysis of Periodization-Based Sampling Methods for Matérn CovariancesMarkus Bachmayr, Ivan G. Graham, Van Kien Nguyen, Robert Scheichl. siamnum, 58(5):2953-2980, 2020. [doi]

Stability and finite element error analysis for the Helmholtz equation with variable coefficientsIvan G. Graham, Stefan A. Sauter. moc, 89(321):105-138, 2020. [doi]

Domain Decomposition with Local Impedance Conditions for the Helmholtz Equation with AbsorptionIvan G. Graham, Euan A. Spence, Jun Zou. siamnum, 58(5):2515-2543, 2020. [doi]

2019

Domain decomposition preconditioning for the high-frequency time-harmonic Maxwell equations with absorptionMarcella Bonazzoli, Victorita Dolean, Ivan G. Graham, Euan A. Spence, Pierre-Henri Tournier. moc, 88(320):2559-2604, 2019. [doi]

Analysis of quasi-Monte Carlo methods for elliptic eigenvalue problems with stochastic coefficientsAlexander D. Gilbert, Ivan G. Graham, Frances Y. Kuo, Robert Scheichl, Ian H. Sloan. nm, 142(4):863-915, 2019. [doi]

2018

Circulant embedding with QMC: analysis for elliptic PDE with lognormal coefficientsIvan G. Graham, Frances Y. Kuo, Dirk Nuyens, Robert Scheichl, Ian H. Sloan. nm, 140(2):479-511, 2018. [doi]

Analysis of Circulant Embedding Methods for Sampling Stationary Random FieldsIvan G. Graham, Frances Y. Kuo, Dirk Nuyens, Robert Scheichl, Ian H. Sloan. siamnum, 56(3):1871-1895, 2018. [doi]

2017

Domain decomposition preconditioning for high-frequency Helmholtz problems with absorptionIvan G. Graham, Eugene A. Spence, Eero Vainikko. moc, 86(307):2089-2127, 2017. [doi]

2015

Applying GMRES to the Helmholtz equation with shifted Laplacian preconditioning: what is the largest shift for which wavenumber-independent convergence is guaranteed?Martin J. Gander, Ivan G. Graham, Euan A. Spence. nm, 131(3):567-614, 2015. [doi]

Quasi-Monte Carlo finite element methods for elliptic PDEs with lognormal random coefficientsIvan G. Graham, Frances Y. Kuo, James A. Nichols, Robert Scheichl, Christoph Schwab, Ian H. Sloan. nm, 131(2):329-368, 2015. [doi]

2012

Numerical-asymptotic boundary integral methods in high-frequency acoustic scatteringSimon N. Chandler-Wilde, Ivan G. Graham, Stephen Langdon, Euan A. Spence. actanum, 21:89-305, 2012. [doi]

Adaptive finite element methods for computing band gaps in photonic crystalsStefano Giani, Ivan G. Graham. nm, 121(1):31-64, 2012. [doi]

2011

Iterative Methods for Neutron Transport Eigenvalue ProblemsFynn Scheben, Ivan G. Graham. siamsc, 33(5):2785-2804, 2011. [doi]

2009

Energy-minimizing coarse spaces for two-level Schwarz methods for multiscale PDEsJan Van Lent, Robert Scheichl, Ivan G. Graham. nla, 16(10):775-799, 2009. [doi]

2007

A hybrid numerical-asymptotic boundary integral method for high-frequency acoustic scatteringV. Domínguez, Ivan G. Graham, V. P. Smyshlyaev. nm, 106(3):471-510, 2007. [doi]

Optimal Panel-Clustering in the Presence of Anisotropic Mesh RefinementIvan G. Graham, Lars Grasedyck, Wolfgang Hackbusch, S. A. Sauter. siamnum, 46(1):517-543, 2007. [doi]

Domain decomposition for multiscale PDEsIvan G. Graham, P. O. Lechner, Robert Scheichl. nm, 106(4):589-626, 2007. [doi]

2006

Anisotropic Mesh Refinement: The Conditioning of Galerkin Boundary Element Matrices and Simple PreconditionersIvan G. Graham, William McLean. siamnum, 44(4):1487-1513, 2006. [doi]

2004

Inverse inequalities on non-quasi-uniform meshes and application to the mortar element methodWolfgang Dahmen, B. Faermann, Ivan G. Graham, Wolfgang Hackbusch, S. A. Sauter. moc, 73(247):1107-1138, 2004.

2003

Parallel iterative methods for Navier-Stokes equations and application to eigenvalue computationIvan G. Graham, Alastair Spence, Eero Vainikko. concurrency, 15(11-12):1151-1168, 2003. [doi]

2002

Parallel Iterative Methods for Navier-Stokes Equations and Application to Stability Assessment (Distinguished Paper)Ivan G. Graham, Alastair Spence, Eero Vainikko. europar 2002: 705-714 [doi]

3Ivan G. Graham, Ian H. Sloan. nm, 92(2):289-323, 2002. [doi]

2000

Discrete boundary element methods on general meshes in 3DIvan G. Graham, Wolfgang Hackbusch, Stefan A. Sauter. nm, 86(1):103-137, 2000. [doi]

Hybrid Galerkin boundary elements: theory and implementationIvan G. Graham, Wolfgang Hackbusch, Stefan A. Sauter. nm, 86(1):139-172, 2000. [doi]

1996

Massively Parallel Methods for Semiconductor Device ModellingR. K. Coomer, Ivan G. Graham. computing, 56(1):1-28, 1996. [doi]

1992

Iterative Solution of Linear Systems Arising from the Boundary Integral MethodKendall E. Atkinson, Ivan G. Graham. siamsc, 13(3):694-722, 1992. [doi]

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