Article

Gibbs, A., Chandler-Wilde, S. N. ORCID: https://orcid.org/0000-0003-0578-1283, Langdon, S. and Moiola, A. (2020) A high frequency boundary element method for scattering by a class of multiple obstacles. IMA Journal of Numerical Analysis, 41 (2). pp. 1197-1239. ISSN 1464-3642 doi: https://doi.org/10.1093/imanum/draa025

Groth, S. P., Hewett, D. P. and Langdon, S. (2018) A hybrid numerical-asymptotic boundary element method for high frequency scattering by penetrable convex polygons. Wave Motion, 78. pp. 32-53. ISSN 0165-2125 doi: https://doi.org/10.1016/j.wavemoti.2017.12.008

Hargreaves, J. A., Lam, Y. W. and Langdon, S. (2016) A transformation approach for efficient evaluation of oscillatory surface integrals arising in three-dimensional boundary element methods. International Journal for Numerical Methods in Engineering, 108 (2). pp. 93-115. ISSN 0029-5981 doi: https://doi.org/10.1002/nme.5204

Lee, T. E., Baines, M. J. and Langdon, S. (2015) A finite difference moving mesh method based on conservation for moving boundary problems. Journal of Computational and Applied Mathematics, 288. pp. 1-17. ISSN 0377-0427 doi: https://doi.org/10.1016/j.cam.2015.03.032

Hewett, D. P., Langdon, S. and Chandler-Wilde, S. N. ORCID: https://orcid.org/0000-0003-0578-1283 (2015) A frequency-independent boundary element method for scattering by two-dimensional screens and apertures. IMA Journal of Numerical Analysis, 35 (4). pp. 1698-1728. ISSN 1464-3642 doi: https://doi.org/10.1093/imanum/dru043

Groth, S. P., Hewett, D. P. and Langdon, S. (2015) Hybrid numerical-asymptotic approximation for high-frequency scattering by penetrable convex polygons. IMA Journal of Applied Mathematics, 80 (2). pp. 324-353. ISSN 0272-4960 doi: https://doi.org/10.1093/imamat/hxt040

Chandler-Wilde, S. N. ORCID: https://orcid.org/0000-0003-0578-1283, Hewett, D. P., Langdon, S. and Twigger, A. (2015) A high frequency boundary element method for scattering by a class of nonconvex obstacles. Numerische Mathematik, 129 (4). pp. 647-689. ISSN 0029-599X doi: https://doi.org/10.1007/s00211-014-0648-7

Lee, T. E., Baines, M. J., Langdon, S. and Tindall, M. J. (2013) A moving mesh approach for modelling avascular tumour growth. Applied Numerical Mathematics, 72. pp. 99-114. ISSN 01689274 doi: https://doi.org/10.1016/j.apnum.2013.06.001

Hewett, D. P., Langdon, S. and Melenk, J. M. (2013) A high frequency $hp$ boundary element method for scattering by convex polygons. SIAM Journal on Numerical Analysis (SINUM), 51 (1). pp. 629-653. ISSN 0036-1429 doi: https://doi.org/10.1137/110856812

Needham, D. J., Langdon, S., Samson, B. A. and Gilchrist, J. P. (2013) The unsteady flow of a weakly compressible fluid in a thin porous layer II: three-dimensional theory. The Quarterly Journal of Mechanics and Applied Mathematics, 66 (1). pp. 97-122. ISSN 0033-5614 doi: https://doi.org/10.1093/qjmam/hbs021

Langdon, S., Needham, D. J., Samson, B. A. and Gilchrist, J. P. (2013) The unsteady flow of a weakly compressible fluid in a thin porous layer III: three-dimensional computations. The Quarterly Journal of Mechanics and Applied Mathematics, 66 (1). pp. 123-155. ISSN 0033-5614 doi: https://doi.org/10.1093/qjmam/hbs022

Chandler-Wilde, S. N. ORCID: https://orcid.org/0000-0003-0578-1283, Langdon, S. and Mokgolele, M. (2012) A high frequency boundary element method for scattering by convex polygons with impedance boundary conditions. Communications in Computational Physics, 11 (2). pp. 573-593. ISSN 1991-7120 doi: https://doi.org/10.4208/cicp.231209.040111s

Chandler-Wilde, S. ORCID: https://orcid.org/0000-0003-0578-1283, Graham, I. G., Langdon, S. and Spence, E. A. (2012) Numerical-asymptotic boundary integral methods in high-frequency acoustic scattering. Acta Numerica, 21. pp. 89-305. ISSN 0962-4929 doi: https://doi.org/10.1017/S0962492912000037

Betcke, T., Chandler-Wilde, S. N. ORCID: https://orcid.org/0000-0003-0578-1283, Graham, I. G., Langdon, S. and Lindner, M. (2011) Condition number estimates for combined potential integral operators in acoustics and their boundary element discretisation. Numerical Methods for Partial Differential Equations, 27 (1). pp. 31-69. ISSN 1098-2426 doi: https://doi.org/10.1002/num.20643

Langdon, S., Mokgolele, M. and Chandler-Wilde, S.N. ORCID: https://orcid.org/0000-0003-0578-1283 (2010) High frequency scattering by convex curvilinear polygons. Journal of Computational and Applied Mathematics, 234 (6). pp. 2020-2026. ISSN 0377-0427 doi: https://doi.org/10.1016/j.cam.2009.08.053

Chandler-Wilde, S. N. ORCID: https://orcid.org/0000-0003-0578-1283, Graham, I. G., Langdon, S. and Lindner, M. (2009) Condition number estimates for combined potential boundary integral operators in acoustic scattering. Journal of Integral Equations and Applications, 21 (2). pp. 229-279. ISSN 0897-3962 doi: https://doi.org/10.1216/JIE-2009-21-2-229

Needham, D. J., Langdon, S., Busswell, G. S. and Gilchrist, J. P. (2009) The unsteady flow of a weakly compressible fluid in a thin porous layer. I: Two-dimensional theory. SIAM Journal on Applied Mathematics (SIAP), 69 (4). pp. 1084-1109. ISSN 0036-1399 doi: https://doi.org/10.1137/070703405

Blowey, J. F., King, J. R. and Langdon, S. (2007) Small- and waiting-time behaviour of the thin-film-equation. SIAM Journal on Applied Mathematics (SIAP), 67 (6). pp. 1776-1807. ISSN 0036-1399 doi: https://doi.org/10.1137/060667682

Arden, S., Chandler-Wilde, S. N. ORCID: https://orcid.org/0000-0003-0578-1283 and Langdon, S. (2007) A collocation method for high frequency scattering by convex polygons. Journal of Computational and Applied Mathematics, 204 (2). pp. 334-343. ISSN 0377-0427 doi: https://doi.org/10.1016/j.cam.2006.03.028

Chandler-Wilde, S. N. ORCID: https://orcid.org/0000-0003-0578-1283 and Langdon, S. (2007) A Galerkin boundary element method for high frequency scattering by convex polygons. SIAM Journal on Numerical Analysis (SINUM), 45 (2). pp. 610-640. ISSN 0036-1429 doi: https://doi.org/10.1137/06065595X

Ganesh, M., Langdon, S. and Sloan, I. H. (2007) Efficient evaluation of highly oscillatory acoustic scattering surface integrals. Journal of Computational and Applied Mathematics, 204 (2). pp. 363-374. ISSN 0377-0427 doi: https://doi.org/10.1016/j.cam.2006.03.029

Langdon, S. and Chandler-Wilde, S. N. ORCID: https://orcid.org/0000-0003-0578-1283 (2006) A wavenumber independent boundary element method for an acoustic scattering problem. SIAM Journal on Numerical Analysis (SINUM), 43 (6). pp. 2450-2477. ISSN 0036-1429

Chandler-Wilde, S. N. ORCID: https://orcid.org/0000-0003-0578-1283, Langdon, S. and Ritter, L. (2004) A high-wavenumber boundary-element method for an acoustic scattering problem. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 362 (1816). pp. 647-671. ISSN 1364-503X doi: https://doi.org/10.1098/rsta.2003.1339

Barrett, J. W., Langdon, S. and Nurnberg, R. (2004) Finite element approximation of a sixth order nonlinear degenerate parabolic equation. Numerische Mathematik, 96 (3). pp. 401-434. ISSN 0945-3245 doi: https://doi.org/10.1007/s00211-003-0479-4

Langdon, S. and Chandler-Wilde, S.N. ORCID: https://orcid.org/0000-0003-0578-1283 (2003) A GTD-based boundary element method for a surface scattering problem. Proceedings of the Institute of Acoustics, 25 (Part 5).

Langdon, S. and Graham, I. G. (2001) Boundary integral methods for singularly perturbed boundary value problems. IMA Journal of Numerical Analysis, 21 (1). pp. 217-237. ISSN 1464-3642 doi: https://doi.org/10.1093/imanum/21.1.217

Book or Report Section

Chandler-Wilde, S.N. ORCID: https://orcid.org/0000-0003-0578-1283 and Langdon, S. (2015) Acoustic scattering : high frequency boundary element methods and unified transform methods. In: Fokas, A.S. and Pelloni, B. (eds.) Unified transform for boundary value problems : applications and advances. Society for Industrial and Applied Mathematics, Philadelphia, pp. 181-226. ISBN 9781611973815

Conference or Workshop Item

Phillips, O., Chandler-Wilde, S. ORCID: https://orcid.org/0000-0003-0578-1283 and Langdon, S. (2022) Towards high frequency boundary element methods for multiple scattering. In: Inter-noise 2022, 21-24 August 2022, Glasgow.

Chandler-Wilde, S. N. ORCID: https://orcid.org/0000-0003-0578-1283, Langdon, S. and Ritter, L. (2003) A Galerkin boundary element method for a high frequency scattering problem. In: Proceedings of 6th International Conference on Mathematical and Numerical Aspects of Wave Propagation, University of Jyvaskyla, Finland.

Langdon, S. and Chandler-Wilde, S.N. ORCID: https://orcid.org/0000-0003-0578-1283 (2003) A Galerkin boundary element method for an acoustic scattering problem with convergence rate independent of frequency. In: 4th UK Conference on Boundary Integral Methods.