Linear and quadratic octahedral wavelets on the sphere for angular discretisations of the Boltzmann transport equation AG Buchan, CC Pain, MD Eaton, RP Smedley-Stevenson, AJH Goddard Annals of Nuclear Energy 32 (11), 1224-1273, 2005 | 69 | 2005 |
The inner-element subgrid scale finite element method for the Boltzmann transport equation AG Buchan, AS Candy, SR Merton, CC Pain, JI Hadi, MD Eaton, ... Nuclear science and engineering 164 (2), 105-121, 2010 | 36 | 2010 |
Streamline upwind Petrov–Galerkin methods for the steady-state Boltzmann transport equation CC Pain, MD Eaton, RP Smedley-Stevenson, AJH Goddard, MD Piggott, ... Computer methods in applied mechanics and engineering 195 (33-36), 4448-4472, 2006 | 33 | 2006 |
Self-adaptive spherical wavelets for angular discretizations of the Boltzmann transport equation AG Buchan, CC Pain, MD Eaton, RP Smedley-Stevenson, AJH Goddard Nuclear Science and Engineering 158 (3), 244-263, 2008 | 32 | 2008 |
Asymptotic diffusion limit of cell temperature discretisation schemes for thermal radiation transport RP Smedley-Stevenson, RG McClarren Journal of Computational Physics 286, 214-235, 2015 | 31 | 2015 |
Riemann boundary conditions for the Boltzmann transport equation using arbitrary angular approximations AG Buchan, SR Merton, CC Pain, RP Smedley-Stevenson Annals of Nuclear Energy 38 (5), 1186-1195, 2011 | 28 | 2011 |
Space–time streamline upwind Petrov–Galerkin methods for the Boltzmann transport equation CC Pain, MD Eaton, RP Smedley-Stevenson, AJH Goddard, MD Piggott, ... Computer methods in applied mechanics and engineering 195 (33-36), 4334-4357, 2006 | 27 | 2006 |
Goal-based angular adaptivity applied to the spherical harmonics discretisation of the neutral particle transport equation MA Goffin, AG Buchan, AC Belme, CC Pain, MD Eaton, PN Smith, ... Annals of Nuclear Energy 71, 60-80, 2014 | 26 | 2014 |
TeaLeaf: A mini-application to enable design-space explorations for iterative sparse linear solvers S McIntosh-Smith, M Martineau, T Deakin, G Pawelczak, W Gaudin, ... 2017 IEEE International Conference on Cluster Computing (CLUSTER), 842-849, 2017 | 25 | 2017 |
Goal-based angular adaptivity applied to a wavelet-based discretisation of the neutral particle transport equation MA Goffin, AG Buchan, S Dargaville, CC Pain, PN Smith, ... Journal of Computational Physics 281, 1032-1062, 2015 | 22 | 2015 |
Scalable angular adaptivity for Boltzmann transport S Dargaville, AG Buchan, RP Smedley-Stevenson, PN Smith, CC Pain Journal of Computational Physics 406, 109124, 2020 | 20 | 2020 |
Solving the Boltzmann transport equation with multigrid and adaptive space/angle discretisations S Dargaville, MA Goffin, AG Buchan, CC Pain, RP Smedley-Stevenson, ... Annals of Nuclear Energy 86, 99-107, 2015 | 14 | 2015 |
Finite element based Riemann solvers for time-dependent and steady-state radiation transport CC Pain, MD Eaton, J Bowsher, RP Smedley-Stevenson, AP Umpleby, ... Transport Theory and Statistical Physics 32 (5-7), 699-712, 2003 | 14 | 2003 |
Optimal discontinuous finite element methods for the Boltzmann transport equation with arbitrary discretisation in angle SR Merton, CC Pain, RP Smedley-Stevenson, AG Buchan, MD Eaton Annals of Nuclear Energy 35 (9), 1741-1759, 2008 | 13 | 2008 |
Linear and quadratic hexahedral wavelets on the sphere for angular discretizations of the Boltzmann transport equation AG Buchan, CC Pain, MD Eaton, AJH Goddard, RP Smedley-Stevenson Nuclear science and engineering 159 (2), 127-152, 2008 | 13 | 2008 |
A comparison of element agglomeration algorithms for unstructured geometric multigrid S Dargaville, AG Buchan, RP Smedley-Stevenson, PN Smith, CC Pain Journal of Computational and Applied Mathematics 390, 113379, 2021 | 12 | 2021 |
A sub‐grid scale finite element agglomeration multigrid method with application to the Boltzmann transport equation AG Buchan, CC Pain, AP Umpleby, RP Smedley‐Stevenson International journal for numerical methods in engineering 92 (3), 318-342, 2012 | 12 | 2012 |
Angular adaptivity with spherical harmonics for Boltzmann transport S Dargaville, AG Buchan, RP Smedley-Stevenson, PN Smith, CC Pain Journal of Computational Physics 397, 108846, 2019 | 11 | 2019 |
Hybrid Multi-level solvers for discontinuous Galerkin finite element discrete ordinate diffusion synthetic acceleration of radiation transport algorithms B O’Malley, J Kópházi, RP Smedley-Stevenson, MD Eaton Annals of Nuclear Energy 102, 134-147, 2017 | 10 | 2017 |
A new analytic solution of the one-speed neutron transport equation for adjacent half-spaces with isotropic scattering RP Smedley-Stevenson Annals of Nuclear Energy 46, 218-231, 2012 | 9 | 2012 |