Ivan G. Graham

Publication Activity (10 Years)

Years Active: 1992-2024
Publications (10 Years): 27

Top Topics

Decomposition Method

Edge Preserving

Working Set Selection

Top Venues

Numerische Mathematik

SIAM J. Numer. Anal.

Publications

Jeffrey Galkowski, Shihua Gong, Ivan G. Graham, David Lafontaine, Euan A. Spence
Convergence of overlapping domain decomposition methods with PML transmission conditions applied to nontrapping Helmholtz problems. CoRR (2024)
Victorita Dolean, Mark Fry, Ivan G. Graham, Matthias Langer
Improvements to the theoretical estimates of the Schwarz preconditioner with Δ-GenEO coarse space for the indefinite Helmholtz problem. CoRR (2024)
Victorita Dolean, Mark Fry, Ivan G. Graham, Matthias Langer
-GenEO coarse space for the indefinite Helmholtz problem. CoRR (2024)
Shaunagh Downing, Silvia Gazzola, Ivan G. Graham, Euan A. Spence
Optimisation of seismic imaging via bilevel learning. CoRR (2023)
Zhizhang Wu, Ivan G. Graham, Dingjiong Ma, Zhiwen Zhang
A Filon-Clenshaw-Curtis-Smolyak rule for multi-dimensional oscillatory integrals with application to a UQ problem for the Helmholtz equation. CoRR (2022)
Shihua Gong, Ivan G. Graham, Euan A. Spence
Convergence of restricted additive Schwarz with impedance transmission conditions for discretised Helmholtz problems. Math. Comput. 92 (339) (2022)
Shihua Gong, Martin J. Gander, Ivan G. Graham, David Lafontaine, Euan A. Spence
Convergence of parallel overlapping domain decomposition methods for the Helmholtz equation. Numerische Mathematik 152 (2) (2022)
Shihua Gong, Ivan G. Graham, Euan A. Spence
Convergence of Restricted Additive Schwarz with impedance transmission conditions for discretised Helmholtz problems. CoRR (2021)
Shihua Gong, Martin J. Gander, Ivan G. Graham, David Lafontaine, Euan A. Spence
Convergence of parallel overlapping domain decomposition methods for the Helmholtz equation. CoRR (2021)
Shihua Gong, Martin J. Gander, Ivan G. Graham, Euan A. Spence
A variational interpretation of Restricted Additive Schwarz with impedance transmission condition for the Helmholtz problem. CoRR (2021)
Jack D. Betteridge, Thomas H. Gibson, Ivan G. Graham, Eike Hermann Müller
Multigrid preconditioners for the hybridised discontinuous Galerkin discretisation of the shallow water equations. J. Comput. Phys. 426 (2021)
Niall Bootland, Victorita Dolean, Ivan G. Graham, Chupeng Ma, Robert Scheichl
Overlapping Schwarz methods with GenEO coarse spaces for indefinite and non-self-adjoint problems. CoRR (2021)
Niall Bootland, Victorita Dolean, Ivan G. Graham, Chupeng Ma, Robert Scheichl
GenEO coarse spaces for heterogeneous indefinite elliptic problems. CoRR (2021)
Ivan G. Graham, Owen R. Pembery, Euan A. Spence
Analysis of a Helmholtz preconditioning problem motivated by uncertainty quantification. Adv. Comput. Math. 47 (5) (2021)
Ivan G. Graham, Stefan A. Sauter
Stability and finite element error analysis for the Helmholtz equation with variable coefficients. Math. Comput. 89 (321) (2020)
Shihua Gong, Ivan G. Graham, Euan A. Spence
Domain decomposition preconditioners for high-order discretisations of the heterogeneous Helmholtz equation. CoRR (2020)
Markus Bachmayr, Ivan G. Graham, Van Kien Nguyen, Robert Scheichl
Unified Analysis of Periodization-Based Sampling Methods for Matérn Covariances. SIAM J. Numer. Anal. 58 (5) (2020)
Ivan G. Graham, Owen R. Pembery, Euan A. Spence
Analysis of a Helmholtz preconditioning problem motivated by uncertainty quantification. CoRR (2020)
Jack D. Betteridge, Thomas H. Gibson, Ivan G. Graham, Eike Hermann Müller
Multigrid preconditioners for the hybridized Discontinuous Galerkin discretisation of the shallow water equations. CoRR (2020)
Ivan G. Graham, Euan A. Spence, Jun Zou
Domain Decomposition with Local Impedance Conditions for the Helmholtz Equation with Absorption. SIAM J. Numer. Anal. 58 (5) (2020)
Alexander D. Gilbert, Ivan G. Graham, Frances Y. Kuo, Robert Scheichl, Ian H. Sloan
Analysis of quasi-Monte Carlo methods for elliptic eigenvalue problems with stochastic coefficients. Numerische Mathematik 142 (4) (2019)
Marcella Bonazzoli, Victorita Dolean, Ivan G. Graham, Euan A. Spence, Pierre-Henri Tournier
Domain decomposition preconditioning for the high-frequency time-harmonic Maxwell equations with absorption. Math. Comput. 88 (320) (2019)
Ivan G. Graham, Frances Y. Kuo, Dirk Nuyens, Robert Scheichl, Ian H. Sloan
Circulant embedding with QMC: analysis for elliptic PDE with lognormal coefficients. Numerische Mathematik 140 (2) (2018)
Ivan G. Graham, Frances Y. Kuo, Dirk Nuyens, Robert Scheichl, Ian H. Sloan
Analysis of Circulant Embedding Methods for Sampling Stationary Random Fields. SIAM J. Numer. Anal. 56 (3) (2018)
Ivan G. Graham, Euan A. Spence, Eero Vainikko
Domain decomposition preconditioning for high-frequency Helmholtz problems with absorption. Math. Comput. 86 (307) (2017)
Martin J. Gander, Ivan G. Graham, Euan A. Spence
Applying GMRES to the Helmholtz equation with shifted Laplacian preconditioning: what is the largest shift for which wavenumber-independent convergence is guaranteed? Numerische Mathematik 131 (3) (2015)
Ivan G. Graham, Frances Y. Kuo, James A. Nichols, Robert Scheichl, Christoph Schwab, Ian H. Sloan
Quasi-Monte Carlo finite element methods for elliptic PDEs with lognormal random coefficients. Numerische Mathematik 131 (2) (2015)
Víctor Domínguez, Ivan G. Graham, Tatiana Kim
Filon-Clenshaw-Curtis Rules for Highly Oscillatory Integrals with Algebraic Singularities and Stationary Points. SIAM J. Numer. Anal. 51 (3) (2013)
Simon N. Chandler-Wilde, Ivan G. Graham, Stephen Langdon, Euan A. Spence
Numerical-asymptotic boundary integral methods in high-frequency acoustic scattering. Acta Numer. 21 (2012)
Stefano Giani, Ivan G. Graham
Adaptive finite element methods for computing band gaps in photonic crystals. Numerische Mathematik 121 (1) (2012)
Ivan G. Graham, Frances Y. Kuo, Dirk Nuyens, Robert Scheichl, Ian H. Sloan
Quasi-Monte Carlo methods for elliptic PDEs with random coefficients and applications. J. Comput. Phys. 230 (10) (2011)
Fynn Scheben, Ivan G. Graham
Iterative Methods for Neutron Transport Eigenvalue Problems. SIAM J. Sci. Comput. 33 (5) (2011)
C.-C. Chu, Ivan G. Graham, T.-Y. Hou
A new multiscale finite element method for high-contrast elliptic interface problems. Math. Comput. 79 (272) (2010)
Jan Van Lent, Robert Scheichl, Ivan G. Graham
Energy-minimizing coarse spaces for two-level Schwarz methods for multiscale PDEs. Numer. Linear Algebra Appl. 16 (10) (2009)
Stefano Giani, Ivan G. Graham
A Convergent Adaptive Method for Elliptic Eigenvalue Problems. SIAM J. Numer. Anal. 47 (2) (2009)
Ivan G. Graham, Lars Grasedyck, Wolfgang Hackbusch, Stefan A. Sauter
Optimal Panel-Clustering in the Presence of Anisotropic Mesh Refinement. SIAM J. Numer. Anal. 46 (1) (2007)
Víctor Domínguez, Ivan G. Graham, Valery P. Smyshlyaev
A hybrid numerical-asymptotic boundary integral method for high-frequency acoustic scattering. Numerische Mathematik 106 (3) (2007)
Ivan G. Graham, Patrick O. Lechner, Robert Scheichl
Domain decomposition for multiscale PDEs. Numerische Mathematik 106 (4) (2007)
Ivan G. Graham, William McLean
Anisotropic Mesh Refinement: The Conditioning of Galerkin Boundary Element Matrices and Simple Preconditioners. SIAM J. Numer. Anal. 44 (4) (2006)
B. D. Bonner, Ivan G. Graham, Valery P. Smyshlyaev
The Computation of Conical Diffraction Coefficients in High-Frequency Acoustic Wave Scattering. SIAM J. Numer. Anal. 43 (3) (2005)
Wolfgang Dahmen, B. Faermann, Ivan G. Graham, Wolfgang Hackbusch, Stefan A. Sauter
Inverse inequalities on non-quasi-uniform meshes and application to the mortar element method. Math. Comput. 73 (247) (2004)
Ivan G. Graham, Alastair Spence, Eero Vainikko
Parallel iterative methods for Navier-Stokes equations and application to eigenvalue computation. Concurr. Comput. Pract. Exp. 15 (11-12) (2003)
Ivan G. Graham, Alastair Spence, Eero Vainikko
Parallel Iterative Methods for Navier-Stokes Equations and Application to Stability Assessment (Distinguished Paper). Euro-Par (2002)
Ivan G. Graham, Ian H. Sloan
. Numerische Mathematik 92 (2) (2002)
Ivan G. Graham, Wolfgang Hackbusch, Stefan A. Sauter
Discrete boundary element methods on general meshes in 3D. Numerische Mathematik 86 (1) (2000)
Ivan G. Graham, Wolfgang Hackbusch, Stefan A. Sauter
Hybrid Galerkin boundary elements: theory and implementation. Numerische Mathematik 86 (1) (2000)
R. K. Coomer, Ivan G. Graham
Massively Parallel Methods for Semiconductor Device Modelling. Computing 56 (1) (1996)
Kendall E. Atkinson, Ivan G. Graham
Iterative Solution of Linear Systems Arising from the Boundary Integral Method. SIAM J. Sci. Comput. 13 (3) (1992)