Ivan G. Graham

53 papers Journal 52Unranked 1

Year	Rank	Type	Title / Venue / Authors
2026	J	`jnl`	Massively parallel Schwarz methods for the high frequency Helmholtz equation. CoRR Yan Xie, Shihua Gong, Ivan G. Graham, Euan A. Spence, Chen-Song Zhang
2025	J	`jnl`	Quasi-Monte Carlo methods for uncertainty quantification of wave propagation and scattering problems modelled by the Helmholtz equation. CoRR Ivan G. Graham, Frances Y. Kuo, Dirk Nuyens, Ian H. Sloan, Euan A. Spence
2025	J	`jnl`	Two-level hybrid Schwarz preconditioners with piecewise-polynomial coarse spaces for the high-frequency Helmholtz equation. CoRR Ivan G. Graham, Euan A. Spence
2024	J	`jnl`	A Filon-Clenshaw-Curtis-Smolyak rule for multi-dimensional oscillatory integrals with application to a UQ problem for the Helmholtz equation. Math. Comput. Zhizhang Wu, Ivan G. Graham, Dingjiong Ma, Zhiwen Zhang
2024	J	`jnl`	Convergence of overlapping domain decomposition methods with PML transmission conditions applied to nontrapping Helmholtz problems. CoRR Jeffrey Galkowski, Shihua Gong, Ivan G. Graham, David Lafontaine, Euan A. Spence
2024	J	`jnl`	Improvements to the theoretical estimates of the Schwarz preconditioner with Δ-GenEO coarse space for the indefinite Helmholtz problem. CoRR Victorita Dolean, Mark Fry, Ivan G. Graham, Matthias Langer
2024	J	`jnl`	Schwarz methods with PMLs for Helmholtz problems: fast convergence at high frequency. CoRR Jeffrey Galkowski, Shihua Gong, Ivan G. Graham, David Lafontaine, Euan A. Spence
2024	J	`jnl`	Schwarz preconditioner with H CoRR Victorita Dolean, Mark Fry, Ivan G. Graham, Matthias Langer
2023	J	`jnl`	Optimisation of seismic imaging via bilevel learning. CoRR Shaunagh Downing, Silvia Gazzola, Ivan G. Graham, Euan A. Spence
2022	J	`jnl`	A Filon-Clenshaw-Curtis-Smolyak rule for multi-dimensional oscillatory integrals with application to a UQ problem for the Helmholtz equation. CoRR Zhizhang Wu, Ivan G. Graham, Dingjiong Ma, Zhiwen Zhang
2022	J	`jnl`	Convergence of parallel overlapping domain decomposition methods for the Helmholtz equation. Numerische Mathematik Shihua Gong, Martin J. Gander, Ivan G. Graham, David Lafontaine, Euan A. Spence
2022	J	`jnl`	Convergence of restricted additive Schwarz with impedance transmission conditions for discretised Helmholtz problems. Math. Comput. Shihua Gong, Ivan G. Graham, Euan A. Spence
2021	J	`jnl`	A variational interpretation of Restricted Additive Schwarz with impedance transmission condition for the Helmholtz problem. CoRR Shihua Gong, Martin J. Gander, Ivan G. Graham, Euan A. Spence
2021	J	`jnl`	Analysis of a Helmholtz preconditioning problem motivated by uncertainty quantification. Adv. Comput. Math. Ivan G. Graham, Owen R. Pembery, Euan A. Spence
2021	J	`jnl`	Convergence of Restricted Additive Schwarz with impedance transmission conditions for discretised Helmholtz problems. CoRR Shihua Gong, Ivan G. Graham, Euan A. Spence
2021	J	`jnl`	Convergence of parallel overlapping domain decomposition methods for the Helmholtz equation. CoRR Shihua Gong, Martin J. Gander, Ivan G. Graham, David Lafontaine, Euan A. Spence
2021	J	`jnl`	GenEO coarse spaces for heterogeneous indefinite elliptic problems. CoRR Niall Bootland, Victorita Dolean, Ivan G. Graham, Chupeng Ma, Robert Scheichl
2021	J	`jnl`	Multigrid preconditioners for the hybridised discontinuous Galerkin discretisation of the shallow water equations. J. Comput. Phys. Jack D. Betteridge, Thomas H. Gibson, Ivan G. Graham, Eike Hermann Müller
2021	J	`jnl`	Overlapping Schwarz methods with GenEO coarse spaces for indefinite and non-self-adjoint problems. CoRR Niall Bootland, Victorita Dolean, Ivan G. Graham, Chupeng Ma, Robert Scheichl
2020	J	`jnl`	Analysis of a Helmholtz preconditioning problem motivated by uncertainty quantification. CoRR Ivan G. Graham, Owen R. Pembery, Euan A. Spence
2020	J	`jnl`	Domain Decomposition with Local Impedance Conditions for the Helmholtz Equation with Absorption. SIAM J. Numer. Anal. Ivan G. Graham, Euan A. Spence, Jun Zou
2020	J	`jnl`	Domain decomposition preconditioners for high-order discretisations of the heterogeneous Helmholtz equation. CoRR Shihua Gong, Ivan G. Graham, Euan A. Spence
2020	J	`jnl`	Multigrid preconditioners for the hybridized Discontinuous Galerkin discretisation of the shallow water equations. CoRR Jack D. Betteridge, Thomas H. Gibson, Ivan G. Graham, Eike Hermann Müller
2020	J	`jnl`	Stability and finite element error analysis for the Helmholtz equation with variable coefficients. Math. Comput. Ivan G. Graham, Stefan A. Sauter
2020	J	`jnl`	Unified Analysis of Periodization-Based Sampling Methods for Matérn Covariances. SIAM J. Numer. Anal. Markus Bachmayr, Ivan G. Graham, Van Kien Nguyen, Robert Scheichl
2019	J	`jnl`	Analysis of quasi-Monte Carlo methods for elliptic eigenvalue problems with stochastic coefficients. Numerische Mathematik Alexander D. Gilbert, Ivan G. Graham, Frances Y. Kuo, Robert Scheichl, Ian H. Sloan
2019	J	`jnl`	Domain decomposition preconditioning for the high-frequency time-harmonic Maxwell equations with absorption. Math. Comput. Marcella Bonazzoli, Victorita Dolean, Ivan G. Graham, Euan A. Spence, Pierre-Henri Tournier
2018	J	`jnl`	Analysis of Circulant Embedding Methods for Sampling Stationary Random Fields. SIAM J. Numer. Anal. Ivan G. Graham, Frances Y. Kuo, Dirk Nuyens, Robert Scheichl, Ian H. Sloan
2018	J	`jnl`	Circulant embedding with QMC: analysis for elliptic PDE with lognormal coefficients. Numerische Mathematik Ivan G. Graham, Frances Y. Kuo, Dirk Nuyens, Robert Scheichl, Ian H. Sloan
2017	J	`jnl`	Domain decomposition preconditioning for high-frequency Helmholtz problems with absorption. Math. Comput. Ivan G. Graham, Euan A. Spence, Eero Vainikko
2015	J	`jnl`	Applying GMRES to the Helmholtz equation with shifted Laplacian preconditioning: what is the largest shift for which wavenumber-independent convergence is guaranteed? Numerische Mathematik Martin J. Gander, Ivan G. Graham, Euan A. Spence
2015	J	`jnl`	Quasi-Monte Carlo finite element methods for elliptic PDEs with lognormal random coefficients. Numerische Mathematik Ivan G. Graham, Frances Y. Kuo, James A. Nichols, Robert Scheichl, Christoph Schwab, Ian H. Sloan
2013	J	`jnl`	Filon-Clenshaw-Curtis Rules for Highly Oscillatory Integrals with Algebraic Singularities and Stationary Points. SIAM J. Numer. Anal. Víctor Domínguez, Ivan G. Graham, Tatiana Kim
2012	J	`jnl`	Adaptive finite element methods for computing band gaps in photonic crystals. Numerische Mathematik Stefano Giani, Ivan G. Graham
2012	J	`jnl`	Numerical-asymptotic boundary integral methods in high-frequency acoustic scattering. Acta Numer. Simon N. Chandler-Wilde, Ivan G. Graham, Stephen Langdon, Euan A. Spence
2011	J	`jnl`	Iterative Methods for Neutron Transport Eigenvalue Problems. SIAM J. Sci. Comput. Fynn Scheben, Ivan G. Graham
2011	J	`jnl`	Quasi-Monte Carlo methods for elliptic PDEs with random coefficients and applications. J. Comput. Phys. Ivan G. Graham, Frances Y. Kuo, Dirk Nuyens, Robert Scheichl, Ian H. Sloan
2010	J	`jnl`	A new multiscale finite element method for high-contrast elliptic interface problems. Math. Comput. C.-C. Chu, Ivan G. Graham, T.-Y. Hou
2009	J	`jnl`	A Convergent Adaptive Method for Elliptic Eigenvalue Problems. SIAM J. Numer. Anal. Stefano Giani, Ivan G. Graham
2009	J	`jnl`	Energy-minimizing coarse spaces for two-level Schwarz methods for multiscale PDEs. Numer. Linear Algebra Appl. Jan Van Lent, Robert Scheichl, Ivan G. Graham
2007	J	`jnl`	A hybrid numerical-asymptotic boundary integral method for high-frequency acoustic scattering. Numerische Mathematik Víctor Domínguez, Ivan G. Graham, Valery P. Smyshlyaev
2007	J	`jnl`	Domain decomposition for multiscale PDEs. Numerische Mathematik Ivan G. Graham, Patrick O. Lechner, Robert Scheichl
2007	J	`jnl`	Optimal Panel-Clustering in the Presence of Anisotropic Mesh Refinement. SIAM J. Numer. Anal. Ivan G. Graham, Lars Grasedyck, Wolfgang Hackbusch, Stefan A. Sauter
2006	J	`jnl`	Anisotropic Mesh Refinement: The Conditioning of Galerkin Boundary Element Matrices and Simple Preconditioners. SIAM J. Numer. Anal. Ivan G. Graham, William McLean
2005	J	`jnl`	The Computation of Conical Diffraction Coefficients in High-Frequency Acoustic Wave Scattering. SIAM J. Numer. Anal. B. D. Bonner, Ivan G. Graham, Valery P. Smyshlyaev
2004	J	`jnl`	Inverse inequalities on non-quasi-uniform meshes and application to the mortar element method. Math. Comput. Wolfgang Dahmen, B. Faermann, Ivan G. Graham, Wolfgang Hackbusch, Stefan A. Sauter
2003	J	`jnl`	Parallel iterative methods for Navier-Stokes equations and application to eigenvalue computation. Concurr. Comput. Pract. Exp. Ivan G. Graham, Alastair Spence, Eero Vainikko
2002	J	`jnl`	Fully discrete spectral boundary integral methods for Helmholtz problems on smooth closed surfaces in ℝ Numerische Mathematik Ivan G. Graham, Ian H. Sloan
2002	—	`conf`	Parallel Iterative Methods for Navier-Stokes Equations and Application to Stability Assessment (Distinguished Paper). Euro-Par Ivan G. Graham, Alastair Spence, Eero Vainikko
2000	J	`jnl`	Discrete boundary element methods on general meshes in 3D. Numerische Mathematik Ivan G. Graham, Wolfgang Hackbusch, Stefan A. Sauter
2000	J	`jnl`	Hybrid Galerkin boundary elements: theory and implementation. Numerische Mathematik Ivan G. Graham, Wolfgang Hackbusch, Stefan A. Sauter
1996	J	`jnl`	Massively Parallel Methods for Semiconductor Device Modelling. Computing R. K. Coomer, Ivan G. Graham
1992	J	`jnl`	Iterative Solution of Linear Systems Arising from the Boundary Integral Method. SIAM J. Sci. Comput. Kendall E. Atkinson, Ivan G. Graham