Ivan G. Graham
Orcid: 0000-0002-5730-676XAffiliations:
- University of Bath, UK
According to our database1,
Ivan G. Graham
authored at least 43 papers
between 1992 and 2024.
Collaborative distances:
Collaborative distances:
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Online presence:
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on zbmath.org
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on orcid.org
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on bath.ac.uk
On csauthors.net:
Bibliography
2024
Improvements to the theoretical estimates of the Schwarz preconditioner with Δ-GenEO coarse space for the indefinite Helmholtz problem.
CoRR, 2024
2023
2022
Convergence of restricted additive Schwarz with impedance transmission conditions for discretised Helmholtz problems.
Math. Comput., September, 2022
Convergence of parallel overlapping domain decomposition methods for the Helmholtz equation.
Numerische Mathematik, 2022
A Filon-Clenshaw-Curtis-Smolyak rule for multi-dimensional oscillatory integrals with application to a UQ problem for the Helmholtz equation.
CoRR, 2022
2021
Multigrid preconditioners for the hybridised discontinuous Galerkin discretisation of the shallow water equations.
J. Comput. Phys., 2021
Overlapping Schwarz methods with GenEO coarse spaces for indefinite and non-self-adjoint problems.
CoRR, 2021
A variational interpretation of Restricted Additive Schwarz with impedance transmission condition for the Helmholtz problem.
CoRR, 2021
Analysis of a Helmholtz preconditioning problem motivated by uncertainty quantification.
Adv. Comput. Math., 2021
2020
Domain Decomposition with Local Impedance Conditions for the Helmholtz Equation with Absorption.
SIAM J. Numer. Anal., 2020
SIAM J. Numer. Anal., 2020
Stability and finite element error analysis for the Helmholtz equation with variable coefficients.
Math. Comput., 2020
Multigrid preconditioners for the hybridized Discontinuous Galerkin discretisation of the shallow water equations.
CoRR, 2020
Domain decomposition preconditioners for high-order discretisations of the heterogeneous Helmholtz equation.
CoRR, 2020
2019
Analysis of quasi-Monte Carlo methods for elliptic eigenvalue problems with stochastic coefficients.
Numerische Mathematik, 2019
Domain decomposition preconditioning for the high-frequency time-harmonic Maxwell equations with absorption.
Math. Comput., 2019
2018
SIAM J. Numer. Anal., 2018
Numerische Mathematik, 2018
2017
Domain decomposition preconditioning for high-frequency Helmholtz problems with absorption.
Math. Comput., 2017
2015
Quasi-Monte Carlo finite element methods for elliptic PDEs with lognormal random coefficients.
Numerische Mathematik, 2015
Applying GMRES to the Helmholtz equation with shifted Laplacian preconditioning: what is the largest shift for which wavenumber-independent convergence is guaranteed?
Numerische Mathematik, 2015
2013
Filon-Clenshaw-Curtis Rules for Highly Oscillatory Integrals with Algebraic Singularities and Stationary Points.
SIAM J. Numer. Anal., 2013
2012
Numerische Mathematik, 2012
Numerical-asymptotic boundary integral methods in high-frequency acoustic scattering.
Acta Numer., 2012
2011
SIAM J. Sci. Comput., 2011
Quasi-Monte Carlo methods for elliptic PDEs with random coefficients and applications.
J. Comput. Phys., 2011
2010
A new multiscale finite element method for high-contrast elliptic interface problems.
Math. Comput., 2010
2009
SIAM J. Numer. Anal., 2009
Numer. Linear Algebra Appl., 2009
2007
SIAM J. Numer. Anal., 2007
A hybrid numerical-asymptotic boundary integral method for high-frequency acoustic scattering.
Numerische Mathematik, 2007
2006
Anisotropic Mesh Refinement: The Conditioning of Galerkin Boundary Element Matrices and Simple Preconditioners.
SIAM J. Numer. Anal., 2006
2005
The Computation of Conical Diffraction Coefficients in High-Frequency Acoustic Wave Scattering.
SIAM J. Numer. Anal., 2005
2004
Inverse inequalities on non-quasi-uniform meshes and application to the mortar element method.
Math. Comput., 2004
2003
Parallel iterative methods for Navier-Stokes equations and application to eigenvalue computation.
Concurr. Comput. Pract. Exp., 2003
2002
Fully discrete spectral boundary integral methods for Helmholtz problems on smooth closed surfaces in ℝ<sup>3</sup>.
Numerische Mathematik, 2002
Parallel Iterative Methods for Navier-Stokes Equations and Application to Stability Assessment (Distinguished Paper).
Proceedings of the Euro-Par 2002, 2002
2000
Numerische Mathematik, 2000
Numerische Mathematik, 2000
1996
1992
SIAM J. Sci. Comput., 1992