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ORCIDIvan G. Graham
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- affiliation: University of Bath, UK
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Journal Articles
- 2022
[j34]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): 175-215 (2022)- [j33]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): 259-306 (2022) - 2021
- [j32]Ivan G. Graham, Owen R. Pembery, Euan A. Spence:
Analysis of a Helmholtz preconditioning problem motivated by uncertainty quantification. Adv. Comput. Math. 47(5): 68 (2021) - [j31]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: 109948 (2021) - 2020
- [j30]Ivan G. Graham, Stefan A. Sauter:
Stability and finite element error analysis for the Helmholtz equation with variable coefficients. Math. Comput. 89(321): 105-138 (2020) - [j29]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): 2515-2543 (2020) - [j28]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): 2953-2980 (2020) - 2019
- [j27]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): 2559-2604 (2019) - [j26]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): 863-915 (2019) - 2018
- [j25]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): 479-511 (2018) - [j24]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): 1871-1895 (2018) - 2017
- [j23]Ivan G. Graham, Euan A. Spence, Eero Vainikko:
Domain decomposition preconditioning for high-frequency Helmholtz problems with absorption. Math. Comput. 86(307): 2089-2127 (2017) - 2015
- [j22]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): 329-368 (2015) - [j21]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): 567-614 (2015) - 2013
- [j20]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): 1542-1566 (2013) - 2012
- [j19]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: 89-305 (2012) - [j18]Stefano Giani, Ivan G. Graham:
Adaptive finite element methods for computing band gaps in photonic crystals. Numerische Mathematik 121(1): 31-64 (2012) - 2011
- [j17]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): 3668-3694 (2011) - [j16]Fynn Scheben, Ivan G. Graham:
Iterative Methods for Neutron Transport Eigenvalue Problems. SIAM J. Sci. Comput. 33(5): 2785-2804 (2011) - 2010
- [j15]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): 1915-1955 (2010) - 2009
- [j14]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): 775-799 (2009) - [j13]Stefano Giani, Ivan G. Graham:
A Convergent Adaptive Method for Elliptic Eigenvalue Problems. SIAM J. Numer. Anal. 47(2): 1067-1091 (2009) - 2007
- [j12]Víctor Domínguez, Ivan G. Graham, Valery P. Smyshlyaev:
A hybrid numerical-asymptotic boundary integral method for high-frequency acoustic scattering. Numerische Mathematik 106(3): 471-510 (2007) - [j11]Ivan G. Graham, Patrick O. Lechner, Robert Scheichl:
Domain decomposition for multiscale PDEs. Numerische Mathematik 106(4): 589-626 (2007) - [j10]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): 517-543 (2007) - 2006
- [j9]Ivan G. Graham, William McLean:
Anisotropic Mesh Refinement: The Conditioning of Galerkin Boundary Element Matrices and Simple Preconditioners. SIAM J. Numer. Anal. 44(4): 1487-1513 (2006) - 2005
- [j8]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): 1202-1230 (2005) - 2004
- [j7]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): 1107-1138 (2004) - 2003
- [j6]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): 1151-1168 (2003) - 2002
- [j5]Ivan G. Graham, Ian H. Sloan:
Fully discrete spectral boundary integral methods for Helmholtz problems on smooth closed surfaces in ℝ3. Numerische Mathematik 92(2): 289-323 (2002) - 2000
- [j4]Ivan G. Graham, Wolfgang Hackbusch, Stefan A. Sauter:
Discrete boundary element methods on general meshes in 3D. Numerische Mathematik 86(1): 103-137 (2000) - [j3]Ivan G. Graham, Wolfgang Hackbusch, Stefan A. Sauter:
Hybrid Galerkin boundary elements: theory and implementation. Numerische Mathematik 86(1): 139-172 (2000) - 1996
- [j2]R. K. Coomer, Ivan G. Graham:
Massively Parallel Methods for Semiconductor Device Modelling. Computing 56(1): 1-28 (1996) - 1992
- [j1]Kendall E. Atkinson, Ivan G. Graham:
Iterative Solution of Linear Systems Arising from the Boundary Integral Method. SIAM J. Sci. Comput. 13(3): 694-722 (1992)
Conference and Workshop Papers
- 2002
- [c1]Ivan G. Graham, Alastair Spence, Eero Vainikko:
Parallel Iterative Methods for Navier-Stokes Equations and Application to Stability Assessment (Distinguished Paper). Euro-Par 2002: 705-714
Informal and Other Publications
- 2024
- [i14]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 abs/2403.18378 (2024) - [i13]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 abs/2404.02156 (2024) - [i12]Victorita Dolean, Mark Fry, Ivan G. Graham, Matthias Langer:
Schwarz preconditioner with Hk-GenEO coarse space for the indefinite Helmholtz problem. CoRR abs/2406.06283 (2024) - [i11]Jeffrey Galkowski, Shihua Gong, Ivan G. Graham, David Lafontaine, Euan A. Spence:
Schwarz methods with PMLs for Helmholtz problems: fast convergence at high frequency. CoRR abs/2408.16580 (2024) - 2023
- [i10]Shaunagh Downing, Silvia Gazzola, Ivan G. Graham, Euan A. Spence:
Optimisation of seismic imaging via bilevel learning. CoRR abs/2301.10762 (2023) - 2022
- [i9]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 abs/2208.10078 (2022) - 2021
- [i8]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 abs/2103.11379 (2021) - [i7]Niall Bootland, Victorita Dolean, Ivan G. Graham, Chupeng Ma, Robert Scheichl:
GenEO coarse spaces for heterogeneous indefinite elliptic problems. CoRR abs/2103.16703 (2021) - [i6]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 abs/2106.05218 (2021) - [i5]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 abs/2110.13537 (2021) - [i4]Shihua Gong, Ivan G. Graham, Euan A. Spence:
Convergence of Restricted Additive Schwarz with impedance transmission conditions for discretised Helmholtz problems. CoRR abs/2110.14495 (2021) - 2020
- [i3]Shihua Gong, Ivan G. Graham, Euan A. Spence:
Domain decomposition preconditioners for high-order discretisations of the heterogeneous Helmholtz equation. CoRR abs/2004.03996 (2020) - [i2]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 abs/2004.09389 (2020) - [i1]Ivan G. Graham, Owen R. Pembery, Euan A. Spence:
Analysis of a Helmholtz preconditioning problem motivated by uncertainty quantification. CoRR abs/2005.13390 (2020)
Coauthor Index
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