Analytical methods for perfect wedge diffraction: a review MA Nethercote, RC Assier, ID Abrahams Wave Motion 93, 102479, 2020 | 45 | 2020 |

On the diffraction of acoustic waves by a quarter-plane RC Assier, N Peake Wave Motion 49 (1), 64-82, 2012 | 29 | 2012 |

Diffraction by a quarter–plane. Analytical continuation of spectral functions RC Assier, AV Shanin The Quarterly Journal of Mechanics and Applied Mathematics 72 (1), 51-86, 2019 | 24 | 2019 |

An integral equation method for the homogenization of unidirectional fibre-reinforced media; antiplane elasticity and other potential problems D Joyce, WJ Parnell, RC Assier, ID Abrahams Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2017 | 23 | 2017 |

Linear and weakly nonlinear instability of a premixed curved flame under the influence of its spontaneous acoustic field RC Assier, X Wu Journal of fluid mechanics 758, 180-220, 2014 | 20 | 2014 |

High-frequency homogenization in periodic media with imperfect interfaces RC Assier, M Touboul, B Lombard, C Bellis Proceedings of the Royal Society A 476 (2244), 20200402, 2020 | 16 | 2020 |

A surprising observation in the quarter-plane diffraction problem RC Assier, ID Abrahams SIAM Journal on Applied Mathematics 81 (1), 60-90, 2021 | 15* | 2021 |

Precise description of the different far fields encountered in the problem of diffraction of acoustic waves by a quarter-plane RC Assier, N Peake IMA Journal of Applied Mathematics 77 (5), 605-625, 2012 | 13 | 2012 |

Effective dynamics for low-amplitude transient elastic waves in a 1D periodic array of non-linear interfaces C Bellis, B Lombard, M Touboul, R Assier Journal of the Mechanics and Physics of Solids 149, 104321, 2021 | 12 | 2021 |

Spectral study of the Laplace–Beltrami operator arising in the problem of acoustic wave scattering by a quarter-plane RC Assier, C Poon, N Peake The Quarterly Journal of Mechanics and Applied Mathematics 69 (3), 281-317, 2016 | 12 | 2016 |

Analytical continuation of two-dimensional wave fields RC Assier, AV Shanin Proceedings of the Royal Society A 477 (2245), 20200681, 2021 | 11 | 2021 |

On the asymptotic properties of a canonical diffraction integral RC Assier, ID Abrahams Proceedings of the Royal Society A 476 (2242), 20200150, 2020 | 11 | 2020 |

Acoustic scattering from a one-dimensional array; tail-end asymptotics for efficient evaluation of the quasi-periodic Green’s function GM Lynott, V Andrew, ID Abrahams, MJ Simon, WJ Parnell, RC Assier Wave Motion 89, 232-244, 2019 | 11 | 2019 |

Transient thermal mixed boundary value problems in the half-space WJ Parnell, VH Nguyen, R Assier, S Naili, ID Abrahams SIAM Journal on Applied Mathematics 76 (3), 845-866, 2016 | 11 | 2016 |

Diffraction by a Right-Angled No-Contrast Penetrable Wedge Revisited: A Double Wiener--Hopf Approach VD Kunz, R Assier SIAM Journal on Applied Mathematics 82 (4), 1495-1519, 2022 | 9 | 2022 |

A contribution to the mathematical theory of diffraction: a note on double Fourier integrals RC Assier, AV Shanin, AI Korolkov The Quarterly Journal of Mechanics and Applied Mathematics 76 (1), 1-47, 2023 | 7 | 2023 |

Diffraction of acoustic waves by a wedge of point scatterers MA Nethercote, AV Kisil, RC Assier SIAM Journal on Applied Mathematics 82 (3), 872-898, 2022 | 7 | 2022 |

Vertex Green’s functions of a quarter-plane: links between the functional equation, additive crossing and lamé functions RC Assier, AV Shanin The Quarterly Journal of Mechanics and Applied Mathematics 74 (3), 251-295, 2021 | 7 | 2021 |

Transient thermal boundary value problems in the half-space with mixed convective boundary conditions N Gorbushin, VH Nguyen, WJ Parnell, RC Assier, S Naili Journal of Engineering Mathematics 114, 141-158, 2019 | 7 | 2019 |

High-contrast approximation for penetrable wedge diffraction MA Nethercote, RC Assier, ID Abrahams IMA Journal of Applied Mathematics 85 (3), 421-466, 2020 | 6 | 2020 |