| A compiler for variational forms RC Kirby, A Logg ACM Transactions on Mathematical Software (TOMS) 32 (3), 417-444, 2006 | 350 | 2006 |
| Algorithm 839: FIAT, a new paradigm for computing finite element basis functions RC Kirby ACM Transactions on Mathematical Software (TOMS) 30 (4), 502-516, 2004 | 273 | 2004 |
| Efficient Assembly of and Conforming Finite Elements ME Rognes, RC Kirby, A Logg SIAM Journal on Scientific Computing 31 (6), 4130-4151, 2010 | 199 | 2010 |
| Firedrake user manual DA Ham, PHJ Kelly, L Mitchell, CJ Cotter, RC Kirby, K Sagiyama, ... Imperial College London and University of Oxford and Baylor University and …, 2023 | 157 | 2023 |
| High resolution schemes for conservation laws with locally varying time steps C Dawson, R Kirby SIAM Journal on Scientific Computing 22 (6), 2256-2281, 2001 | 143 | 2001 |
| The fenics project T Dupont, J Hoffman, C Johnson, RC Kirby, MG Larson, A Logg, LR Scott Chalmers Finite Element Centre, Chalmers University of Technology, 2003 | 95 | 2003 |
| FIAT: numerical construction of finite element basis functions RC Kirby Automated Solution of Differential Equations by the Finite Element Method …, 2012 | 92 | 2012 |
| From functional analysis to iterative methods RC Kirby SIAM review 52 (2), 269-293, 2010 | 90 | 2010 |
| Optimizing the evaluation of finite element matrices RC Kirby, M Knepley, A Logg, LR Scott SIAM Journal on Scientific Computing 27 (3), 741-758, 2005 | 87 | 2005 |
| Solver composition across the PDE/linear algebra barrier RC Kirby, L Mitchell SIAM Journal on Scientific Computing 40 (1), C76-C98, 2018 | 79 | 2018 |
| Unified embedded parallel finite element computations via software-based Fréchet differentiation K Long, R Kirby, B van Bloemen Waanders SIAM Journal on Scientific Computing 32 (6), 3323-3351, 2010 | 72 | 2010 |
| Efficient compilation of a class of variational forms RC Kirby, A Logg ACM Transactions on Mathematical Software (TOMS) 33 (3), 17-es, 2007 | 71 | 2007 |
| Fast simplicial finite element algorithms using Bernstein polynomials RC Kirby Numerische Mathematik 117 (4), 631-652, 2011 | 65 | 2011 |
| Topological optimization of the evaluation of finite element matrices RC Kirby, A Logg, LR Scott, AR Terrel SIAM Journal on Scientific Computing 28 (1), 224-240, 2006 | 45 | 2006 |
| Common and unusual finite elements RC Kirby, A Logg, ME Rognes, AR Terrel Automated Solution of Differential Equations by the Finite Element Method …, 2012 | 44 | 2012 |
| Exposing and exploiting structure: optimal code generation for high-order finite element methods M Homolya, RC Kirby, DA Ham arXiv preprint arXiv:1711.02473, 2017 | 41 | 2017 |
| Irksome: Automating Runge–Kutta time-stepping for finite element methods PE Farrell, RC Kirby, J Marchena-Menendez ACM Transactions on Mathematical Software (TOMS) 47 (4), 1-26, 2021 | 38 | 2021 |
| Solving pdes with intrepid P Bochev, HC Edwards, RC Kirby, K Peterson, D Ridzal Scientific Programming 20 (2), 151-180, 2012 | 38 | 2012 |
| On the convergence of high resolution methods with multiple time scales for hyperbolic conservation laws R Kirby Mathematics of computation 72 (243), 1239-1250, 2003 | 37 | 2003 |
| Code generation for generally mapped finite elements RC Kirby, L Mitchell ACM Transactions on Mathematical Software (TOMS) 45 (4), 1-23, 2019 | 36 | 2019 |
