Dr. Andrew Gibbs - UCL
Email address: email@example.com
High frequency wave scattering
Highly oscillatory quadrature
Boundary Element Methods
S.N. Chandler-Wilde, E.A. Spence, A. Gibbs, V. P. Smyshlyaev. High-frequency bounds for the Helmholtz equation under parabolic trapping and applications in numerical analysis, SIAM J. Math. Anal., volume 52, issue 1, pages 845-893 (2020), arxiv copy.
A. Gibbs, S. Langdon and A. Moiola. Numerically stable computation of embedding formulae for scattering by polygons.
A. Gibbs, S. Langdon, A. Moiola and S.N. Chandler-Wilde. A high frequency boundary element method for scattering by a class of multiple obstacles, IMA JNA, arxiv copy.
A. Gibbs, D. Hewett, D. Huybrechs, E. Parolin. Fast hybrid numerical-asymptotic boundary element methods for high frequency screen and aperture problems based on least-squares collocation, SN Partial Differ. Equ. Appl., arxiv copy.
J. Bannister, A. Gibbs, D. P. Hewett. Acoustic scattering by impedance screens/cracks with fractal boundary: well-posedness analysis and boundary element approximation.
A. Gibbs, D. Huybrechs and D. P. Hewett. PathFinder: a toolbox for oscillatory quadrature, Proceedings of Waves 2019, Vieanna, August 2019.
A. Gibbs, D. Huybrechs. A new toolbox for highly oscillatory and singular integrals, Proceedings of IABEM 2018, Paris, June 2018.
A. Gibbs, S. Langdon and A. Moiola. Stable implementation of embedding formulae for computation of far field patterns, Proceedings of Waves 2017, Minnesota, May 2017.
A. Gibbs, S. N. Chandler-Wilde, S. Langdon and A. Moiola. Hybrid numerical asymptotic approximation for multiple scattering problems, Proceedings of Waves 2015, Karlsruhe, Germany, July 2015.
Waves 2019, July 9th-13th 2018, TU Wein, Vienna, Austria.
ICOSAHOM 2018, July 9th-13th 2018, Imperial College London.
IABEM 2018, June 26th-28th 2018, Universit� Pierre-et-Marie-Curie.
Fundamentals of finite elements, April 16th-20th 2018, Lebesgue institute, Roscoff.
The 13th International Conference on Mathematical and Numerical Aspects of Wave Propagation, May 15th-19th 2017, Minnesota, USA.
The Mathematics of Finite Elements and Applications, June 14th-17th 2016, Brunel University.
The 2nd Australasian Conference on Wave Science, December 6th-9th 2015, University of Adelaide, South Australia.
New Directions in Numerical Computation, August 25th-28th 2015, Oxford.
The 12th International Conference on Mathematical and Numerical Aspects of Wave Propagation, July 20th-24th 2015, Karlsruhe, Germany.
Boundary and Finite Element Methods for High Frequency Scattering Problems, December 15th-16th 2014, University of Reading.
Scattering, Clouds and Climate workshop, March 24th-25th 2014, Oxford.
The Mathematics of Finite Elements and Applications, June 11th-14th 2013, Brunel University.