| Fully computable error bounds for discontinuous Galerkin finite element approximations on meshes with an arbitrary number of levels of hanging nodes M Ainsworth, R Rankin SIAM journal on numerical analysis 47 (6), 4112-4141, 2010 | 54 | 2010 |
| A unified analysis of algebraic flux correction schemes for convection–diffusion equations GR Barrenechea, V John, P Knobloch, R Rankin SeMA Journal 75, 655-685, 2018 | 53 | 2018 |
| Guaranteed computable bounds on quantities of interest in finite element computations M Ainsworth, R Rankin International journal for numerical methods in engineering 89 (13), 1605-1634, 2012 | 46 | 2012 |
| Fully computable a posteriori error bounds for stabilised FEM approximations of convection–reaction–diffusion problems in three dimensions M Ainsworth, A Allendes, GR Barrenechea, R Rankin International Journal for Numerical Methods in Fluids 73 (9), 765-790, 2013 | 43 | 2013 |
| Fully computable bounds for the error in nonconforming finite element approximations of arbitrary order on triangular elements M Ainsworth, R Rankin SIAM Journal on Numerical Analysis 46 (6), 3207-3232, 2008 | 39 | 2008 |
| Constant free error bounds for nonuniform order discontinuous Galerkin finite-element approximation on locally refined meshes with hanging nodes M Ainsworth, R Rankin IMA journal of numerical analysis 31 (1), 254-280, 2011 | 26 | 2011 |
| On the adaptive selection of the parameter in stabilized finite element approximations M Ainsworth, A Allendes, GR Barrenechea, R Rankin SIAM Journal on Numerical Analysis 51 (3), 1585-1609, 2013 | 24 | 2013 |
| A note on the selection of the penalty parameter for discontinuous Galerkin finite element schemes M Ainsworth, R Rankin Numerical Methods for Partial Differential Equations 28 (3), 1099-1104, 2012 | 24 | 2012 |
| Guaranteed computable error bounds for conforming and nonconforming finite element analyses in planar elasticity M Ainsworth, R Rankin International journal for numerical methods in engineering 82 (9), 1114-1157, 2010 | 20 | 2010 |
| Adaptive finite element methods for an optimal control problem involving Dirac measures A Allendes, E Otarola, R Rankin, AJ Salgado Numerische Mathematik 137 (1), 159-197, 2017 | 18 | 2017 |
| Fully computable error estimation of a nonlinear, positivity-preserving discretization of the convection-diffusion-reaction equation A Allendes, GR Barrenechea, R Rankin SIAM Journal on Scientific Computing 39 (5), A1903-A1927, 2017 | 14 | 2017 |
| A high order method for solving the black-oil problem in porous media R Rankin, B Riviere Advances in Water Resources 78, 126-144, 2015 | 14 | 2015 |
| Realistic computable error bounds for three dimensional finite element analyses in linear elasticity M Ainsworth, R Rankin Computer methods in applied mechanics and engineering 200 (21-22), 1909-1926, 2011 | 14 | 2011 |
| Error estimation for low-order adaptive finite element approximations for fluid flow problems A Allendes, F Durán, R Rankin IMA Journal of Numerical Analysis 36 (4), 1715-1747, 2016 | 13 | 2016 |
| Computable error bounds for nonconforming Fortin–Soulie finite element approximation of the Stokes problem M Ainsworth, A Allendes, GR Barrenechea, R Rankin IMA Journal of Numerical Analysis 32 (2), 417-447, 2012 | 13 | 2012 |
| Robust a posteriori error estimation for the nonconforming Fortin–Soulie finite element approximation M Ainsworth, R Rankin Mathematics of computation 77 (264), 1917-1939, 2008 | 11 | 2008 |
| An a posteriori error analysis for an optimal control problem with point sources A Allendes, E Otárola, R Rankin, AJ Salgado ESAIM: Mathematical Modelling and Numerical Analysis 52 (5), 1617-1650, 2018 | 6 | 2018 |
| Plutonium Discharge Rates and Spent Nuclear Fuel Inventory Estimates for Nuclear Reactors Worldwide BK Castle, SA Hoiland, RA Rankin, JW Sterbentz Idaho National Lab.(INL), Idaho Falls, ID (United States), 2012 | 5 | 2012 |
| Pointwise a posteriori error estimates for discontinuous Galerkin methods for singularly perturbed reaction-diffusion equations N Kopteva, R Rankin SIAM Journal on Numerical Analysis 61 (4), 1938-1961, 2023 | 3 | 2023 |
| Maximum–norm a posteriori error estimates for an optimal control problem E Otárola, R Rankin, AJ Salgado Computational Optimization and Applications 73, 997-1017, 2019 | 3 | 2019 |
