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Author ID: spence.euan-a Recent zbMATH articles by "Spence, Euan A."
Published as: Spence, E. A.; Spence, Euan A.
Homepage: http://people.bath.ac.uk/eas25/
External Links: MGP · ORCID · dblp
Documents Indexed: 42 Publications since 2008
Co-Authors: 29 Co-Authors with 38 Joint Publications
622 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

37 Publications have been cited 528 times in 263 Documents Cited by Year
Numerical-asymptotic boundary integral methods in high-frequency acoustic scattering. Zbl 1257.65070
Chandler-Wilde, Simon N.; Graham, Ivan G.; Langdon, Stephen; Spence, Euan A.
99
2012
Applying GMRES to the Helmholtz equation with shifted Laplacian preconditioning: What is the largest shift for which wavenumber-independent convergence is guaranteed? Zbl 1328.65238
Gander, M. J.; Graham, I. G.; Spence, E. A.
58
2015
Is the Helmholtz equation really sign-indefinite? Zbl 1305.35021
Moiola, Andrea; Spence, Euan A.
34
2014
Domain decomposition preconditioning for high-frequency Helmholtz problems with absorption. Zbl 1368.65250
Graham, I. G.; Spence, E. A.; Vainikko, E.
32
2017
Sharp high-frequency estimates for the Helmholtz equation and applications to boundary integral equations. Zbl 1341.35013
Baskin, Dean; Spence, Euan A.; Wunsch, Jared
23
2016
Wavenumber-explicit bounds in time-harmonic acoustic scattering. Zbl 1302.35139
Spence, E. A.
23
2014
Synthesis, as opposed to separation, of variables. Zbl 1387.35013
Fokas, A. S.; Spence, E. A.
22
2012
A new frequency-uniform coercive boundary integral equation for acoustic scattering. Zbl 1228.35183
Spence, Euan A.; Chandler-Wilde, Simon N.; Graham, Ivan G.; Smyshlyaev, Valery P.
21
2011
A spectral collocation method for the Laplace and modified Helmholtz equations in a convex polygon. Zbl 1202.65161
Smitheman, S. A.; Spence, E. A.; Fokas, A. S.
19
2010
The Helmholtz equation in heterogeneous media: a priori bounds, well-posedness, and resonances. Zbl 1421.35056
Graham, I. G.; Pembery, O. R.; Spence, E. A.
18
2019
Coercivity of combined boundary integral equations in high-frequency scattering. Zbl 1342.35202
Spence, Euan A.; Kamotski, Ilia V.; Smyshlyaev, Valery P.
17
2015
When is the error in the \(h\)-BEM for solving the Helmholtz equation bounded independently of \(k\)? Zbl 1320.65187
Graham, I. G.; Löhndorf, M.; Melenk, J. M.; Spence, E. A.
16
2015
Numerical estimation of coercivity constants for boundary integral operators in acoustic scattering. Zbl 1232.65097
Betcke, T.; Spence, E. A.
16
2011
Acoustic transmission problems: wavenumber-explicit bounds and resonance-free regions. Zbl 1414.35057
Moiola, Andrea; Spence, Euan A.
14
2019
Recent results on domain decomposition preconditioning for the high-frequency Helmholtz equation using absorption. Zbl 1366.65113
Graham, Ivan G.; Spence, Euan A.; Vainikko, Eero
12
2017
A new transform method. II: The global relation and boundary-value problems in polar coordinates. Zbl 1200.35072
Spence, E. A.; Fokas, A. S.
11
2010
Wavenumber-explicit analysis for the Helmholtz \(h\)-BEM: error estimates and iteration counts for the Dirichlet problem. Zbl 1414.35054
Galkowski, Jeffrey; Müller, Eike H.; Spence, Euan A.
10
2019
A semi-analytical numerical method for solving evolution and elliptic partial differential equations. Zbl 1170.65079
Fokas, A. S.; Flyer, N.; Smitheman, S. A.; Spence, E. A.
9
2009
A new transform method. I: Domain-dependent fundamental solutions and integral representations. Zbl 1200.35071
Spence, E. A.; Fokas, A. S.
9
2010
Domain decomposition with local impedance conditions for the Helmholtz equation with absorption. Zbl 1465.65162
Graham, Ivan G.; Spence, Euan A.; Zou, Jun
9
2020
Domain decomposition preconditioning for the high-frequency time-harmonic Maxwell equations with absorption. Zbl 1420.35398
Bonazzoli, M.; Dolean, V.; Graham, I. G.; Spence, E. A.; Tournier, P.-H.
8
2019
Two-level preconditioners for the Helmholtz equation. Zbl 1443.65416
Bonazzoli, Marcella; Dolean, Victorita; Graham, Ivan G.; Spence, Euan A.; Tournier, Pierre-Henri
6
2018
Can coercive formulations lead to fast and accurate solution of the Helmholtz equation? Zbl 1410.65445
Diwan, Ganesh C.; Moiola, Andrea; Spence, Euan A.
5
2019
Optimal constants in nontrapping resolvent estimates and applications in numerical analysis. Zbl 1439.35142
Galkowski, Jeffrey; Spence, Euan A.; Wunsch, Jared
5
2020
High-frequency bounds for the Helmholtz equation under parabolic trapping and applications in numerical analysis. Zbl 1431.35020
Chandler-Wilde, S. N.; Spence, E. A.; Gibbs, A.; Smyshlyaev, V. P.
5
2020
Spectral decompositions and nonnormality of boundary integral operators in acoustic scattering. Zbl 1296.65173
Betcke, T.; Phillips, J.; Spence, E. A.
4
2014
Overview of variational formulations for linear elliptic PDEs. Zbl 1346.65060
Spence, E. A.
4
2015
Wavenumber-explicit regularity estimates on the acoustic single- and double-layer operators. Zbl 1417.31008
Galkowski, Jeffrey; Spence, Euan A.
4
2019
For most frequencies, strong trapping has a weak effect in frequency-domain scattering. Zbl 07405485
Lafontaine, David; Spence, Euan A.; Wunsch, Jared
3
2021
Novel analytical and numerical methods for elliptic boundary value problems. Zbl 1180.37104
Fokas, Athanasios S.; Spence, Euan A.
3
2009
The Helmholtz equation in random media: well-posedness and a priori bounds. Zbl 1436.35085
Pembery, O. R.; Spence, E. A.
2
2020
A two-level domain-decomposition preconditioner for the time-harmonic Maxwell’s equations. Zbl 1443.65417
Bonazzoli, Marcella; Dolean, Victorita; Graham, Ivan G.; Spence, Euan A.; Tournier, Pierre-Henri
2
2018
Eigenvalues of the truncated Helmholtz solution operator under strong trapping. Zbl 1480.35111
Galkowski, Jeffrey; Marchand, Pierre; Spence, Euan A.
1
2021
A sharp relative-error bound for the Helmholtz \(h\)-FEM at high frequency. Zbl 1481.35136
Lafontaine, D.; Spence, E. A.; Wunsch, J.
1
2022
Bounding acoustic layer potentials via oscillatory integral techniques. Zbl 1316.35099
Spence, E. A.
1
2015
Coercivity, essential norms, and the Galerkin method for second-kind integral equations on polyhedral and Lipschitz domains. Zbl 07493696
Chandler-Wilde, S. N.; Spence, E. A.
1
2022
Domain decomposition preconditioners for high-order discretizations of the heterogeneous Helmholtz equation. Zbl 07528301
Gong, Shihua; Graham, Ivan G.; Spence, Euan A.
1
2021
A sharp relative-error bound for the Helmholtz \(h\)-FEM at high frequency. Zbl 1481.35136
Lafontaine, D.; Spence, E. A.; Wunsch, J.
1
2022
Coercivity, essential norms, and the Galerkin method for second-kind integral equations on polyhedral and Lipschitz domains. Zbl 07493696
Chandler-Wilde, S. N.; Spence, E. A.
1
2022
For most frequencies, strong trapping has a weak effect in frequency-domain scattering. Zbl 07405485
Lafontaine, David; Spence, Euan A.; Wunsch, Jared
3
2021
Eigenvalues of the truncated Helmholtz solution operator under strong trapping. Zbl 1480.35111
Galkowski, Jeffrey; Marchand, Pierre; Spence, Euan A.
1
2021
Domain decomposition preconditioners for high-order discretizations of the heterogeneous Helmholtz equation. Zbl 07528301
Gong, Shihua; Graham, Ivan G.; Spence, Euan A.
1
2021
Domain decomposition with local impedance conditions for the Helmholtz equation with absorption. Zbl 1465.65162
Graham, Ivan G.; Spence, Euan A.; Zou, Jun
9
2020
Optimal constants in nontrapping resolvent estimates and applications in numerical analysis. Zbl 1439.35142
Galkowski, Jeffrey; Spence, Euan A.; Wunsch, Jared
5
2020
High-frequency bounds for the Helmholtz equation under parabolic trapping and applications in numerical analysis. Zbl 1431.35020
Chandler-Wilde, S. N.; Spence, E. A.; Gibbs, A.; Smyshlyaev, V. P.
5
2020
The Helmholtz equation in random media: well-posedness and a priori bounds. Zbl 1436.35085
Pembery, O. R.; Spence, E. A.
2
2020
The Helmholtz equation in heterogeneous media: a priori bounds, well-posedness, and resonances. Zbl 1421.35056
Graham, I. G.; Pembery, O. R.; Spence, E. A.
18
2019
Acoustic transmission problems: wavenumber-explicit bounds and resonance-free regions. Zbl 1414.35057
Moiola, Andrea; Spence, Euan A.
14
2019
Wavenumber-explicit analysis for the Helmholtz \(h\)-BEM: error estimates and iteration counts for the Dirichlet problem. Zbl 1414.35054
Galkowski, Jeffrey; Müller, Eike H.; Spence, Euan A.
10
2019
Domain decomposition preconditioning for the high-frequency time-harmonic Maxwell equations with absorption. Zbl 1420.35398
Bonazzoli, M.; Dolean, V.; Graham, I. G.; Spence, E. A.; Tournier, P.-H.
8
2019
Can coercive formulations lead to fast and accurate solution of the Helmholtz equation? Zbl 1410.65445
Diwan, Ganesh C.; Moiola, Andrea; Spence, Euan A.
5
2019
Wavenumber-explicit regularity estimates on the acoustic single- and double-layer operators. Zbl 1417.31008
Galkowski, Jeffrey; Spence, Euan A.
4
2019
Two-level preconditioners for the Helmholtz equation. Zbl 1443.65416
Bonazzoli, Marcella; Dolean, Victorita; Graham, Ivan G.; Spence, Euan A.; Tournier, Pierre-Henri
6
2018
A two-level domain-decomposition preconditioner for the time-harmonic Maxwell’s equations. Zbl 1443.65417
Bonazzoli, Marcella; Dolean, Victorita; Graham, Ivan G.; Spence, Euan A.; Tournier, Pierre-Henri
2
2018
Domain decomposition preconditioning for high-frequency Helmholtz problems with absorption. Zbl 1368.65250
Graham, I. G.; Spence, E. A.; Vainikko, E.
32
2017
Recent results on domain decomposition preconditioning for the high-frequency Helmholtz equation using absorption. Zbl 1366.65113
Graham, Ivan G.; Spence, Euan A.; Vainikko, Eero
12
2017
Sharp high-frequency estimates for the Helmholtz equation and applications to boundary integral equations. Zbl 1341.35013
Baskin, Dean; Spence, Euan A.; Wunsch, Jared
23
2016
Applying GMRES to the Helmholtz equation with shifted Laplacian preconditioning: What is the largest shift for which wavenumber-independent convergence is guaranteed? Zbl 1328.65238
Gander, M. J.; Graham, I. G.; Spence, E. A.
58
2015
Coercivity of combined boundary integral equations in high-frequency scattering. Zbl 1342.35202
Spence, Euan A.; Kamotski, Ilia V.; Smyshlyaev, Valery P.
17
2015
When is the error in the \(h\)-BEM for solving the Helmholtz equation bounded independently of \(k\)? Zbl 1320.65187
Graham, I. G.; Löhndorf, M.; Melenk, J. M.; Spence, E. A.
16
2015
Overview of variational formulations for linear elliptic PDEs. Zbl 1346.65060
Spence, E. A.
4
2015
Bounding acoustic layer potentials via oscillatory integral techniques. Zbl 1316.35099
Spence, E. A.
1
2015
Is the Helmholtz equation really sign-indefinite? Zbl 1305.35021
Moiola, Andrea; Spence, Euan A.
34
2014
Wavenumber-explicit bounds in time-harmonic acoustic scattering. Zbl 1302.35139
Spence, E. A.
23
2014
Spectral decompositions and nonnormality of boundary integral operators in acoustic scattering. Zbl 1296.65173
Betcke, T.; Phillips, J.; Spence, E. A.
4
2014
Numerical-asymptotic boundary integral methods in high-frequency acoustic scattering. Zbl 1257.65070
Chandler-Wilde, Simon N.; Graham, Ivan G.; Langdon, Stephen; Spence, Euan A.
99
2012
Synthesis, as opposed to separation, of variables. Zbl 1387.35013
Fokas, A. S.; Spence, E. A.
22
2012
A new frequency-uniform coercive boundary integral equation for acoustic scattering. Zbl 1228.35183
Spence, Euan A.; Chandler-Wilde, Simon N.; Graham, Ivan G.; Smyshlyaev, Valery P.
21
2011
Numerical estimation of coercivity constants for boundary integral operators in acoustic scattering. Zbl 1232.65097
Betcke, T.; Spence, E. A.
16
2011
A spectral collocation method for the Laplace and modified Helmholtz equations in a convex polygon. Zbl 1202.65161
Smitheman, S. A.; Spence, E. A.; Fokas, A. S.
19
2010
A new transform method. II: The global relation and boundary-value problems in polar coordinates. Zbl 1200.35072
Spence, E. A.; Fokas, A. S.
11
2010
A new transform method. I: Domain-dependent fundamental solutions and integral representations. Zbl 1200.35071
Spence, E. A.; Fokas, A. S.
9
2010
A semi-analytical numerical method for solving evolution and elliptic partial differential equations. Zbl 1170.65079
Fokas, A. S.; Flyer, N.; Smitheman, S. A.; Spence, E. A.
9
2009
Novel analytical and numerical methods for elliptic boundary value problems. Zbl 1180.37104
Fokas, Athanasios S.; Spence, Euan A.
3
2009
all top 5

Cited by 348 Authors

28 Spence, Euan A.
18 Fokas, Athanassios S.
13 Graham, Ivan G.
9 Chandler-Wilde, Simon N.
8 Gander, Martin Jakob
8 Ganesh, Mahadevan
8 Mantzavinos, Dionyssios
7 Dolean, Victorita
7 Hewett, David P.
7 Himonas, A. Alexandrou
6 Galkowski, Jeffrey
6 Geuzaine, Christophe A.
6 Moiola, Andrea
6 Tournier, Pierre-Henri
5 Antoine, Xavier
5 Bonazzoli, Marcella
5 Ma, Junjie
5 Melenk, Jens Markus
5 Nicholls, David P.
5 Perugia, Ilaria
5 Sauter, Stefan A.
5 Vuik, Cornelis
5 Yan, Fangchi
4 Betcke, Timo
4 Boubendir, Yassine
4 Cocquet, Pierre-Henri
4 Colbrook, Matthew J.
4 Ecevit, Fatih
4 García Ramos, Luis
4 Hiptmair, Ralf
4 Huybrechs, Daan
4 Majidian, Hassan
4 Morgenstern, Charles
4 Nabben, Reinhard
4 Rieder, Alexander
4 Wu, Shulin
4 Wunsch, Jared
4 Xiang, Shuhuang
4 Zepeda-Núñez, Leonardo
3 Ashton, Anthony C. L.
3 Chaillat, Stéphanie
3 Civiletti, Benjamin J.
3 Claeys, Xavier
3 Darbas, Marion
3 Demanet, Laurent
3 Diwan, Ganesh C.
3 Dwarka, Vandana
3 Flyer, Natasha
3 Fornberg, Bengt
3 Hwang, Guenbo
3 Jerez-Hanckes, Carlos
3 Kalimeris, Konstantinos
3 Lakhtakia, Akhlesh
3 Langdon, Stephen
3 Monk, Peter B.
3 Nataf, Frédéric
3 Pelloni, Beatrice
3 Pembery, O. R.
3 Smyshlyaev, Valery P.
3 Torres, Céline
3 Zaman, Sakhi
2 Aizenberg, Arkady M.
2 Anand, Akash
2 Ayzenberg, Alena A.
2 Bootland, Niall
2 Chen, Linchong
2 Demkowicz, Leszek F.
2 El Bouajaji, Mohamed
2 Escapil-Inchauspé, Paul
2 Filelis-Papadopoulos, Christos K.
2 Fliss, Sonia
2 Gao, Jing
2 Gélat, Pierre
2 Gravvanis, George A.
2 Greengard, Leslie F.
2 Groth, Samuel P.
2 Grylonakis, Eleftherios-Nektarios G.
2 Hawkins, Stuart Collin
2 He, Guo
2 Heuer, Norbert
2 Hong, Youngjoon
2 Jung, Changyeol
2 Karkulik, Michael
2 Khan, Suliman
2 Kirby, Robert C.
2 Kvamsdal, Trond
2 Lahaye, Domenico
2 Lazergui, Souaad
2 Le Louër, Frédérique
2 Lenells, Jonatan
2 Li, Xiaolin
2 Liu, Huilan
2 Lu, Ding
2 Marchand, Pierre
2 Mascotto, Lorenzo
2 Modave, Axel
2 Mohamed, M. Shadi
2 Parolin, Emile
2 Peterseim, Daniel
2 Praetorius, Dirk
...and 248 more Authors
all top 5

Cited in 83 Serials

18 Journal of Computational and Applied Mathematics
16 Numerische Mathematik
13 Journal of Computational Physics
11 Computers & Mathematics with Applications
11 Computer Methods in Applied Mechanics and Engineering
11 SIAM Journal on Scientific Computing
9 Journal of Scientific Computing
8 SIAM Journal on Numerical Analysis
8 Applied Numerical Mathematics
7 Mathematics of Computation
7 BIT
6 SIAM Journal on Matrix Analysis and Applications
5 SIAM Journal on Mathematical Analysis
5 SN Partial Differential Equations and Applications
4 Journal of Mathematical Analysis and Applications
4 Journal of Mathematical Physics
4 Wave Motion
4 Numerical Algorithms
4 Advances in Computational Mathematics
4 Engineering Analysis with Boundary Elements
3 Applied Mathematics and Computation
3 Integral Equations and Operator Theory
3 Quarterly of Applied Mathematics
3 European Journal of Applied Mathematics
3 ETNA. Electronic Transactions on Numerical Analysis
3 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
2 Communications on Pure and Applied Mathematics
2 Studies in Applied Mathematics
2 Applied Mathematical Modelling
2 International Journal of Computer Mathematics
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 SIAM Journal on Applied Mathematics
2 Discrete and Continuous Dynamical Systems
2 Journal of Nonlinear Mathematical Physics
2 Computational Methods and Function Theory
2 Journal of Computational Acoustics
2 Complex Variables and Elliptic Equations
2 Communications in Computational Physics
2 Journal of Spectral Theory
2 Analysis and Mathematical Physics
2 SIAM/ASA Journal on Uncertainty Quantification
1 Communications in Mathematical Physics
1 Computer Physics Communications
1 Inverse Problems
1 Journal of Fluid Mechanics
1 Letters in Mathematical Physics
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Nonlinearity
1 Theoretical and Mathematical Physics
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 International Journal for Numerical Methods in Engineering
1 Journal of Differential Equations
1 Journal of Functional Analysis
1 Memoirs of the American Mathematical Society
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 SIAM Journal on Control and Optimization
1 Transactions of the American Mathematical Society
1 Acta Applicandae Mathematicae
1 Computational Mechanics
1 Numerical Methods for Partial Differential Equations
1 Applied Mathematics Letters
1 Asymptotic Analysis
1 Journal of Integral Equations and Applications
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 SIAM Review
1 Journal of Nonlinear Science
1 Computational and Applied Mathematics
1 Turkish Journal of Mathematics
1 Annales Henri Poincaré
1 Archives of Computational Methods in Engineering
1 Foundations of Computational Mathematics
1 Discrete and Continuous Dynamical Systems. Series B
1 Computational Methods in Applied Mathematics
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Bulletin of the Brazilian Mathematical Society. New Series
1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 Science China. Mathematics
1 Bulletin of Mathematical Sciences
1 Research in the Mathematical Sciences
1 Séminaire Laurent Schwartz. EDP et Applications
1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Bollettino dell’Unione Matematica Italiana
1 Pure and Applied Analysis

Citations by Year