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Research Output 2010 2019

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Article
2019
1 Citation (Scopus)
1 Downloads (Pure)

Acoustic transmission problems: wavenumber-explicit bounds and resonance-free regions

Moiola, A. & Spence, E., 28 Feb 2019, In : Mathematical Models & Methods in Applied Sciences. 29, 2, p. 317-354 38 p.

Research output: Contribution to journalArticle

Open Access
File
Transmission Problem
Explicit Bounds
Stars
Acoustics
Positive Curvature
2 Citations (Scopus)

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

Diwan, G. C., Moiola, A. & Spence, E. A., 15 May 2019, In : Journal of Computational and Applied Mathematics. 352, p. 110-131 22 p.

Research output: Contribution to journalArticle

Open Access
1 Citation (Scopus)
14 Downloads (Pure)

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

Bonazzoli, M., Dolean, V., Graham, I., Spence, E. & Tournier, P-H., 30 Nov 2019, In : Mathematics of Computation (MCOM). 88, 320, p. 2559-2604 46 p.

Research output: Contribution to journalArticle

Open Access
File
Domain Decomposition
Preconditioning
Maxwell's equations
Preconditioner
Absorption
4 Downloads (Pure)

High-frequency bounds for the Helmholtz equation under parabolic trapping and applications in numerical analysis

Chandler-Wilde, S., Spence, E., Gibbs, A. & Smyshlyaev, V., 21 Nov 2019, (Accepted/In press) In : Siam Journal on Mathematical Analysis.

Research output: Contribution to journalArticle

Open Access
File

Optimal constants in nontrapping resolvent estimates and applications in numerical analysis

Galkowski, J., Spence, E. A. & Wunsch, J., 26 Oct 2019, (Accepted/In press) In : Pure and Applied Analysis.

Research output: Contribution to journalArticle

3 Citations (Scopus)
9 Downloads (Pure)
Open Access
File
Heterogeneous Media
A Priori Bounds
Helmholtz Equation
Well-posedness
Transmission Problem

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

Galkowski, J., Müller, E. & Spence, E., 1 Jun 2019, In : Numerische Mathematik. 142, 2, p. 329-357 29 p.

Research output: Contribution to journalArticle

Open Access
Hermann Von Helmholtz
Dirichlet Problem
Error Estimates
Count
Sharp Bound
2 Citations (Scopus)

Wavenumber-explicit regularity estimates on the acoustic single- and double-layer operators

Galkowski, J. & Spence, E. A., 1 Feb 2019, In : Integral Equations and Operator Theory. 91, 1, p. 1-35 35 p., 6.

Research output: Contribution to journalArticle

Open Access
2018

Uniform asymptotics as a stationary point approaches an endpoint

Fernandez, A., Spence, E. & Fokas, A. S., 1 Feb 2018, In : IMA Journal of Applied Mathematics. 83, 1, p. 204-242 39 p.

Research output: Contribution to journalArticle

Open Access
Uniform Asymptotics
Stationary point
Change of Variables
Integrand
Error Bounds
2017
11 Citations (Scopus)
25 Downloads (Pure)

Domain decomposition preconditioning for high-frequency Helmholtz problems with absorption

Graham, I. G., Spence, E. A. & Vainikko, E., 2017, In : Mathematics of Computation. 86, 307, p. 2089-2127

Research output: Contribution to journalArticle

Open Access
File
Hermann Von Helmholtz
Domain Decomposition
Preconditioning
GMRES
Absorption
2016
18 Citations (Scopus)
106 Downloads (Pure)
Open Access
File
Helmholtz equation
Boundary integral equations
Boundary Integral Equations
Helmholtz Equation
Estimate
2015
31 Citations (Scopus)
3 Downloads (Pure)
Open Access
File
Helmholtz equation
GMRES
Helmholtz Equation
Preconditioning
Boundary conditions
1 Citation (Scopus)
99 Downloads (Pure)

Bounding acoustic layer potentials via oscillatory integral techniques

Spence, E. A., Mar 2015, In : BIT Numerical Mathematics. 55, 1, p. 279-318

Research output: Contribution to journalArticle

Open Access
File
Layer Potentials
Oscillatory Integrals
Acoustics
Hermann Von Helmholtz
Operator
11 Citations (Scopus)
91 Downloads (Pure)

Coercivity of combined boundary integral equations in high-frequency scattering

Spence, E. A., Kamotski, I. V. & Smyshlyaev, V. P., 1 Sep 2015, In : Communications on Pure and Applied Mathematics. 68, 9, p. 1587-1639 53 p.

Research output: Contribution to journalArticle

Open Access
Boundary integral equations
Coercivity
Boundary Integral Equations
Coercive force
Integral equations
11 Citations (Scopus)

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

Graham, I. G., Löhndorf, M., Melenk, J. M. & Spence, E. A., Mar 2015, In : BIT Numerical Mathematics. 55, 1, p. 171-214 44 p.

Research output: Contribution to journalArticle

Helmholtz equation
Approximation Error
Helmholtz Equation
Best Approximation
Optimality
2014
29 Citations (Scopus)
111 Downloads (Pure)

Is the helmholtz equation really sign-indefinite?

Moiola, A. & Spence, E. A., 2014, In : Siam Review. 56, 2, p. 274-312 39 p.

Research output: Contribution to journalArticle

Open Access
File
Helmholtz equation
Helmholtz Equation
Variational Formulation
Boundary conditions
Stars
2 Citations (Scopus)
96 Downloads (Pure)

Spectral decompositions and nonnormality of boundary integral operators in acoustic scattering

Betcke, T., Phillips, J. & Spence, E. A., Apr 2014, In : IMA Journal of Numerical Analysis. 34, 2, p. 700-731 32 p.

Research output: Contribution to journalArticle

Open Access
File
Acoustic Scattering
Non-normality
Spectral Decomposition
Boundary Integral
Integral Operator
15 Citations (Scopus)
112 Downloads (Pure)

Wavenumber-Explicit Bounds in Time-Harmonic Acoustic Scattering

Spence, E. A., 2014, In : SIAM Journal on Mathematical Analysis (SIMA). 46, 4, p. 2987-3024 38 p.

Research output: Contribution to journalArticle

Open Access
File
Acoustic Scattering
Helmholtz equation
Explicit Bounds
Harmonic
Acoustics
2012
99 Citations (Scopus)
127 Downloads (Pure)

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

Graham, I., Spence, E., Chandler-Wilde, S. & Langdon, S., May 2012, In : Acta Numerica. 21, p. 89-305 216 p.

Research output: Contribution to journalArticle

Open Access
File
Boundary Integral Method
Acoustic Scattering
Acoustics
Scattering
Oscillatory Integrals
24 Citations (Scopus)
128 Downloads (Pure)

Synthesis, as Opposed to Separation, of Variables

Fokas, A. S. & Spence, E. A., 2012, In : Siam Review. 54, 2, p. 291-324 34 p.

Research output: Contribution to journalArticle

Open Access
File
Separation of Variables
Boundary value problems
Synthesis
Boundary conditions
Spectrum analysis
2011
27 Citations (Scopus)
104 Downloads (Pure)

A new frequency-uniform coercive boundary integral equation for acoustic scattering

Spence, E. A., Chandler-Wilde, S. N., Graham, I. G. & Smyshlyaev, V. P., Oct 2011, In : Communications on Pure and Applied Mathematics. 64, 10, p. 1384-1415 32 p.

Research output: Contribution to journalArticle

File
Acoustic Scattering
Boundary integral equations
Boundary Integral Equations
Integral Operator
Stars
17 Citations (Scopus)
108 Downloads (Pure)

Numerical estimation of coercivity constants for boundary integral operators in acoustic scattering

Betcke, T. & Spence, E. A., 2011, In : SIAM Journal on Numerical Analysis (SINUM). 49, 4, p. 1572-1601 30 p.

Research output: Contribution to journalArticle

File
Acoustic Scattering
Coercivity
Boundary Integral
Coercive force
Integral Operator
2010
19 Citations (Scopus)
106 Downloads (Pure)
Open Access
File
Fundamental Solution
boundary value problems
Integral Representation
Boundary value problems
pulse detonation engines
19 Citations (Scopus)
104 Downloads (Pure)
Open Access
File
polar coordinates
Polar coordinates
boundary value problems
Boundary value problems
pulse detonation engines
30 Citations (Scopus)

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

Smitheman, S. A., Spence, E. A. & Fokas, A. S., 2010, In : IMA Journal of Numerical Analysis. 30, 4, p. 1184-1205 22 p.

Research output: Contribution to journalArticle

Helmholtz equation
Convex polygon
Modified Equations
Helmholtz Equation
Spectral Methods