| On spurious oscillations at layers diminishing (SOLD) methods for convection–diffusion equations: Part I–A review V John, P Knobloch Computer methods in applied mechanics and engineering 196 (17-20), 2197-2215, 2007 | 431 | 2007 |
| On spurious oscillations at layers diminishing (SOLD) methods for convection–diffusion equations: Part II–Analysis for P1 and Q1 finite elements V John, P Knobloch Computer Methods in Applied Mechanics and Engineering 197 (21-24), 1997-2014, 2008 | 132 | 2008 |
| Analysis of algebraic flux correction schemes GR Barrenechea, V John, P Knobloch SIAM Journal on Numerical Analysis 54 (4), 2427-2451, 2016 | 102 | 2016 |
| Finite elements for scalar convection-dominated equations and incompressible flow problems: a never ending story? V John, P Knobloch, J Novo Computing and Visualization in Science 19, 47-63, 2018 | 96 | 2018 |
| The P 1 mod element: A new nonconforming finite element for convection-diffusion problems P Knobloch, L Tobiska SIAM journal on numerical analysis 41 (2), 436-456, 2003 | 73* | 2003 |
| Non-nested multi-level solvers for finite element discretisations of mixed problems V John, P Knobloch, G Matthies, L Tobiska Computing 68, 313-341, 2002 | 65 | 2002 |
| A posteriori optimization of parameters in stabilized methods for convection–diffusion problems–Part I V John, P Knobloch, SB Savescu Computer Methods in Applied Mechanics and Engineering 200 (41-44), 2916-2929, 2011 | 64 | 2011 |
| Local projection stabilization for advection–diffusion–reaction problems: One-level vs. two-level approach P Knobloch, G Lube Applied numerical mathematics 59 (12), 2891-2907, 2009 | 63 | 2009 |
| 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 | 62 | 2018 |
| A generalization of the local projection stabilization for convection-diffusion-reaction equations P Knobloch SIAM journal on numerical analysis 48 (2), 659-680, 2010 | 62 | 2010 |
| An algebraic flux correction scheme satisfying the discrete maximum principle and linearity preservation on general meshes GR Barrenechea, V John, P Knobloch Mathematical Models and Methods in Applied Sciences 27 (03), 525-548, 2017 | 58 | 2017 |
| Improvements of the Mizukami–Hughes method for convection–diffusion equations P Knobloch Computer methods in applied mechanics and engineering 196 (1-3), 579-594, 2006 | 56 | 2006 |
| On the stability of finite-element discretizations of convection–diffusion–reaction equations P Knobloch, L Tobiska IMA Journal of numerical analysis 31 (1), 147-164, 2011 | 53 | 2011 |
| Finite element methods respecting the discrete maximum principle for convection-diffusion equations GR Barrenechea, V John, P Knobloch SIAM Review 66 (1), 3-88, 2024 | 44 | 2024 |
| On the choice of the SUPG parameter at outflow boundary layers P Knobloch Advances in computational mathematics 31, 369-389, 2009 | 40 | 2009 |
| A local projection stabilization finite element methodwith nonlinear crosswind diffusion for convection-diffusion-reaction equations GR Barrenechea, V John, P Knobloch ESAIM: Mathematical Modelling and Numerical Analysis 47 (5), 1335-1366, 2013 | 39 | 2013 |
| On the performance of SOLD methods for convection? diffusion problems with interior layers V John, P Knobloch International Journal of Computing Science and Mathematics 1 (2-4), 245-258, 2007 | 38 | 2007 |
| On the definition of the SUPG parameter P Knobloch Electronic Transactions on Numerical Analysis 32, 76-89, 2008 | 33 | 2008 |
| On Korn’s inequality for nonconforming finite elements P Knobloch Technische Mechanik 20 (3), 205-214, 2000 | 28 | 2000 |
| Some analytical results for an algebraic flux correction scheme for a steady convection–diffusion equation in one dimension GR Barrenechea, V John, P Knobloch IMA Journal of Numerical Analysis 35 (4), 1729-1756, 2015 | 27 | 2015 |
Gabriel BarrenecheaUniversity of StrathclydeVerified email at strath.ac.uk
