Euan A. Spence

发表

High-frequency Bounds for the Helmholtz Equation Under Parabolic Trapping and Applications in Numerical Analysis

Simon N. Chandler-Wilde, Andrew Gibbs, Euan A. Spence, 2017, SIAM J. Math. Anal..

Numerical Estimation of Coercivity Constants for Boundary Integral Operators in Acoustic Scattering

Timo Betcke, Euan A. Spence, T. Betcke, 2011, SIAM J. Numer. Anal..

Numerical-asymptotic boundary integral methods in high-frequency acoustic scattering*

Stephen Langdon, Simon N. Chandler-Wilde, Ivan G. Graham, 2012, Acta Numerica.

Wavenumber-Explicit Bounds in Time-Harmonic Acoustic Scattering

Euan A. Spence, E. Spence, 2014, SIAM J. Math. Anal..

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, 2015, Numerische Mathematik.

Sharp High-Frequency Estimates for the Helmholtz Equation and Applications to Boundary Integral Equations

Jared Wunsch, Euan A. Spence, Dean Baskin, 2015, SIAM J. Math. Anal..

Synthesis, as Opposed to Separation, of Variables

A. S. Fokas, Euan A. Spence, A. Fokas, 2012, SIAM Rev..

Is the Helmholtz Equation Really Sign-Indefinite?

Andrea Moiola, Euan A. Spence, A. Moiola, 2014, SIAM Rev..

Wavenumber-explicit analysis for the Helmholtz h-BEM: error estimates and iteration counts for the Dirichlet problem

Eike Hermann Müller, Jeffrey Galkowski, Euan A. Spence, 2016, Numerische Mathematik.

Optimal constants in nontrapping resolvent estimates and applications in numerical analysis

Jeffrey Galkowski, Jared Wunsch, Euan A. Spence, 2018, Pure and Applied Analysis.

Can coercive formulations lead to fast and accurate solution of the Helmholtz equation?

Andrea Moiola, Euan A. Spence, Ganesh C. Diwan, 2018, J. Comput. Appl. Math..

Domain decomposition preconditioning for the high-frequency time-harmonic Maxwell equations with absorption

Ivan G. Graham, Pierre-Henri Tournier, Marcella Bonazzoli, 2017, Math. Comput..

Scattering by finely-layered obstacles: frequency-explicit bounds and homogenization

Th'eophile Chaumont-Frelet, Euan A. Spence, 2021 .

Decompositions of high-frequency Helmholtz solutions via functional calculus, and application to the finite element method pdf

David Lafontaine, Jared Wunsch, Euan A. Spence, 2021, SIAM Journal on Mathematical Analysis.

Perfectly-matched-layer truncation is exponentially accurate at high frequency pdf

Jeffrey Galkowski, David Lafontaine, Euan A. Spence, 2021, ArXiv.

High-frequency estimates on boundary integral operators for the Helmholtz exterior Neumann problem pdf

Jeffrey Galkowski, Pierre Marchand, Euan A. Spence, 2021, ArXiv.

Spurious Quasi-Resonances in Boundary Integral Equations for the Helmholtz Transmission Problem pdf

Ralf Hiptmair, Andrea Moiola, Euan A. Spence, 2021, ArXiv.

A sharp relative-error bound for the Helmholtz h-FEM at high frequency

David Lafontaine, Jared Wunsch, Euan A. Spence, 2019, Numerische Mathematik.

Analysis of a Helmholtz preconditioning problem motivated by uncertainty quantification pdf

Ivan G. Graham, O. R. Pembery, Euan A. Spence, 2020, Advances in Computational Mathematics.

Convergence of Restricted Additive Schwarz with impedance transmission conditions for discretised Helmholtz problems pdf

Ivan G. Graham, Euan A. Spence, Shihua Gong, 2021, ArXiv.

The Helmholtz boundary element method does not suffer from the pollution effect

Jeffrey Galkowski, Euan A. Spence, E. Spence, 2022, ArXiv.

Eigenvalues of the truncated Helmholtz solution operator under strong trapping pdf

Jeffrey Galkowski, Pierre Marchand, Euan A. Spence, 2021, ArXiv.

Applying GMRES to the Helmholtz equation with strong trapping: how does the number of iterations depend on the frequency? pdf

Alastair Spence, Jeffrey Galkowski, Pierre Marchand, 2021, Advances in Computational Mathematics.

Convergence of parallel overlapping domain decomposition methods for the Helmholtz equation pdf

Martin J. Gander, Ivan G. Graham, David Lafontaine, 2021, ArXiv.

A variational interpretation of Restricted Additive Schwarz with impedance transmission condition for the Helmholtz problem pdf

Martin J. Gander, Ivan G. Graham, Euan A. Spence, 2021, ArXiv.

Coercivity, essential norms, and the Galerkin method for second-kind integral equations on polyhedral and Lipschitz domains pdf

Simon N. Chandler-Wilde, Euan A. Spence, S. Chandler-Wilde, 2021, Numerische Mathematik.

A spectral collocation method for the Laplace and modified Helmholtz equations in a convex polygon

Athanassios S. Fokas, Euan A. Spence, A. Fokas, 2010 .

A new transform method II: the global relation and boundary-value problems in polar coordinates

Athanassios S. Fokas, Euan A. Spence, A. S. Fokas, 2010, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

A semi-analytical numerical method for solving evolution and elliptic partial differential equations

Athanassios S. Fokas, Natasha Flyer, S. A. Smitheman, 2009 .

Overview of Variational Formulations for Linear Elliptic PDEs

Euan A. Spence, E. Spence, 2014 .

Coercivity of Combined Boundary Integral Equations in High‐Frequency Scattering

Euan A. Spence, V. P. Smyshlyaev, I. V. Kamotski, 2015 .

Wavenumber-Explicit Regularity Estimates on the Acoustic Single- and Double-Layer Operators

Jeffrey Galkowski, Euan A. Spence, E. Spence, 2018, Integral Equations and Operator Theory.

When is the error in the $$h$$h-BEM for solving the Helmholtz equation bounded independently of $$k$$k?

Jens Markus Melenk, Ivan G. Graham, Maike Löhndorf, 2015 .