Boundary Integral Equation Methods for High Frequency
Scattering Problems
Project Overview
This is a joint project involving the University of Bath and the
University of Reading on the development of robust methods for
high-frequency wave scattering problems. The project is supported by
EPSRC grants EP/F06795X/1 and
EP/F067798/1 (awarded July 2008), which support the employment of two postdoctoral
research officers, the research time of the
investigators:
Ivan Graham
and Valery
Smyshlyaev (at Bath) and
Simon
Chandler-Wilde
and Steve
Langdon (at
Reading ),
and a visitor's programme involving
Professor
V. Dominguez (University of
Navarra),
Professor M. Ganesh (Colorado School of
Mines) and
Professor Ralf Hiptmair
(ETH Zuerich).
The project also involves strong involvement from four external
bodies: BAE Systems, the UK Met Office, the Institute of Cancer
Research UK and Schlumberger, whose representatives will sit on the
Steering Committee for the project.
News
- We are very pleased to have appointed Dave Hewett as a postdoc in Reading from March 2010. Dave joins us having completed his PhD with John Ockendon and David Allwright at the University of Oxford.
- We are pleased to announce the award of 5-year EPSRC Career Acceleration Fellowship to Timo Betcke, our postdoc at Reading, with effect from 1 October 2009. Timo will hold this felowship at Reading, carrying out research on an overlapping project on "Next generation finite element methods for wave problems", working with industrial partner Schlumberger Cambridge Research and a range of UK and international researchers, including Ivan Graham at Bath and Ralf Hiptmair at ETH. As part of his award, Timo has funding for a postdoc and PhD students. We look forward to the formation of Timo's new group and the strengthening of our links between Bath and Reading and with Schlumberger Cambridge Research.
- We are very pleased to have appointed two outstanding postdocs to join the project from March 2009. These are Euan Spence, to be based at Bath, who joins us having completed his PhD with Thanasis Fokas at the University of Cambridge, and Timo Betcke, to be based at Reading, who joins us from a postdoc position at Manchester with Nick Higham, having previously completed with PhD with Nick Trefethen at the University of Oxford.
More information about the project
Regular meetings and seminars on the Access Grid:
Programme
(last updated 21/02/11)
Papers and preprints from the project
- E.A. Spence, S. N. Chandler-Wilde, I. G. Graham, V. P. Smyshlyaev A new frequency-uniform coercive boundary integral equation for acoustic scattering, Communications on Pure and Applied Mathematics, to appear 2011
-
A. H. Barnett and T. Betcke, MPSPACK, a Matlab toolbox for wave computations.
-
T. Betcke and E.A. Spence, Numerical estimation of coercivity constants for
boundary integral operators in acoustic scattering. submitted to SIAM J.
Numer. Anal.
-
V. Dominguez, I.G. Graham and V.P. Smyshlyaev, Stability and error estimates for Filon-Clenshaw-Curtis rules for highly-oscillatory integrals. IMA Journal of Numerical Analysis, to appear 2011
-
M.A. Lyalinov, N.Y. Zhu, V.P. Smyshlyaev, Scattering of a plane electromagnetic wave by a hollow circular cone with thin semi-transparent walls. IMA J. Appl. Math, in press.
- S. N. Chandler-Wilde, S. Langdon and M. Mokgolele. A high frequency boundary element method for scattering by convex polygons with impedance boundary conditions. Comm. Comp. Phys. to appear
-
M. Ganesh and S. C. Hawkins. A far-field based T-matrix method for two dimensional obstacle scattering. ANZIAM J. 51 (EMAC2009), pp. C215-C230, (2010).
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S. Langdon, M. Mokgolele and S. N. Chandler-Wilde. High frequency scattering by convex curvilinear polygons. J. Comp. Appl. Math., 234, 2020-2026, (2010).
-
A. H. Barnett and T. Betcke, An exponentially convergent nonpolynomial finite
element method for time-harmonic scattering from polygons., SIAM J. Sci.
Comp., 32 (3), pp. 1417--1441 (2010)
Older papers by members of the group on this topic
-
S.N. Chandler-Wilde and I.G. Graham, Boundary integral methods in
high-frequency scattering, in "Highly Oscillatory
Problems'', B. Engquist, T. Fokas, E. Hairer, A. Iserles, editors, p.154-193,
Cambridge University Press (2009).
Link
-
Simon N. Chandler-Wilde, Ivan G. Graham, Stephen Langdon, and Marko
Lindner, Condition Number Estimates for Combined Potential
Boundary Integral Operators in Acoustic Scattering, Journal of Integral Equations and Applications, 21 (2009), 229-279.
Link
-
S N Chandler-Wilde and P Monk, Wave-number-explicit bounds in time-harmonic scattering,
SIAM Journal on Mathematical Analysis 39 (2008), 1428-1455.
Link
-
S N Chandler-Wilde and S Langdon,
A Galerkin boundary element method for high frequency scattering by convex polygons.
SIAM Journal on Numerical Analysis 43 (2007), 610-640.
Link
-
M. Ganesh, S. Langdon and I. H. Sloan. Efficient evaluation of highly oscillatory acoustic scattering surface integrals. J. Comput. Appl. Math., 204, 363-374, (2007).
Link
-
S. Arden, S. N. Chandler-Wilde and S. Langdon. A collocation method for high frequency scattering by convex polygons. J. Comput. Appl. Math., 204, 334-343, (2007).
Link
-
V. Dominguez, I.G. Graham and V.P. Smyshlyaev, A hybrid numerical-asymptotic boundary integral method for high-frequency acoustic scattering, Bath Institute for Complex Systems Preprint number 1/06, University of Bath (2006), Numerische Mathematik 106 (2007), 471-510.
Link
- S Langdon and S N Chandler-Wilde,
A wavenumber independent boundary element method for an acoustic scattering problem.
SIAM Journal on Numerical
Analysis 43 (2006), 2450-2477.
Link
-
B.D. Bonner. I.G.Graham and V.P.Smyshlyaev, The computation of
conical diffraction coefficients in high-frequency acoustic wave
scattering, SIAM J. Numer. Anal., 43 (2005), 1202-1230.
Link
-
S. N. Chandler-Wilde, S. Langdon and L. Ritter. A high wavenumber boundary element method for an acoustic scattering problem. Phil. Trans. R. Soc. Lond. A., 362, 647-671, (2004).
Link