| Mimetic finite difference method K Lipnikov, G Manzini, M Shashkov Journal of Computational Physics 257, 1163-1227, 2014 | 578 | 2014 |
| A family of mimetic finite difference methods on polygonal and polyhedral meshes F Brezzi, K Lipnikov, V Simoncini Mathematical Models and Methods in Applied Sciences 15 (10), 1533-1551, 2005 | 523 | 2005 |
| Convergence of the mimetic finite difference method for diffusion problems on polyhedral meshes F Brezzi, K Lipnikov, M Shashkov SIAM Journal on Numerical Analysis 43 (5), 1872-1896, 2005 | 500 | 2005 |
| The mimetic finite difference method for elliptic problems LB da Veiga, K Lipnikov, G Manzini Springer, 2014 | 401 | 2014 |
| Monotone finite volume schemes for diffusion equations on unstructured triangular and shape-regular polygonal meshes K Lipnikov, M Shashkov, D Svyatskiy, Y Vassilevski Journal of Computational Physics 227 (1), 492-512, 2007 | 322 | 2007 |
| The nonconforming virtual element method BA De Dios, K Lipnikov, G Manzini ESAIM: Mathematical Modelling and Numerical Analysis 50 (3), 879-904, 2016 | 319 | 2016 |
| Mimetic finite differences for elliptic problems F Brezzi, A Buffa, K Lipnikov ESAIM: Mathematical Modelling and Numerical Analysis 43 (2), 277-295, 2009 | 264 | 2009 |
| Interpolation-free monotone finite volume method for diffusion equations on polygonal meshes K Lipnikov, D Svyatskiy, Y Vassilevski Journal of Computational Physics 228 (3), 703-716, 2009 | 214 | 2009 |
| A new discretization methodology for diffusion problems on generalized polyhedral meshes F Brezzi, K Lipnikov, M Shashkov, V Simoncini Computer Methods in Applied Mechanics and Engineering 196 (37-40), 3682-3692, 2007 | 197 | 2007 |
| Local flux mimetic finite difference methods K Lipnikov, M Shashkov, I Yotov Numerische Mathematik 112, 115-152, 2009 | 159 | 2009 |
| Mimetic finite difference methods for diffusion equations on non-orthogonal non-conformal meshes K Lipnikov, J Morel, M Shashkov Journal of Computational Physics 199 (2), 589-597, 2004 | 154 | 2004 |
| The mimetic finite difference method on polygonal meshes for diffusion-type problems Y Kuznetsov, K Lipnikov, M Shashkov Computational Geosciences 8, 301-324, 2004 | 146 | 2004 |
| Mimetic finite difference method for the Stokes problem on polygonal meshes LB Da Veiga, V Gyrya, K Lipnikov, G Manzini Journal of computational physics 228 (19), 7215-7232, 2009 | 137 | 2009 |
| Arbitrary-order nodal mimetic discretizations of elliptic problems on polygonal meshes LB Da Veiga, K Lipnikov, G Manzini SIAM Journal on Numerical Analysis 49 (5), 1737-1760, 2011 | 134 | 2011 |
| The mimetic finite difference discretization of diffusion problem on unstructured polyhedral meshes K Lipnikov, M Shashkov, D Svyatskiy Journal of Computational Physics 211 (2), 473-491, 2006 | 133 | 2006 |
| Convergence of mimetic finite difference method for diffusion problems on polyhedral meshes with curved faces F Brezzi, K Lipnikov, M Shashkov Mathematical Models and Methods in Applied Sciences 16 (02), 275-297, 2006 | 132 | 2006 |
| A monotone finite volume method for advection–diffusion equations on unstructured polygonal meshes K Lipnikov, D Svyatskiy, Y Vassilevski Journal of Computational Physics 229 (11), 4017-4032, 2010 | 124 | 2010 |
| Verification benchmarks for single-phase flow in three-dimensional fractured porous media I Berre, WM Boon, B Flemisch, A Fumagalli, D Gläser, E Keilegavlen, ... Advances in Water Resources 147, 103759, 2021 | 109 | 2021 |
| Minimal stencil finite volume scheme with the discrete maximum principle K Lipnikov, D Svyatskiy, Y Vassilevski Russian Journal of Numerical Analysis and Mathematical Modelling 27 (4), 369-386, 2012 | 98 | 2012 |
| Analysis of the monotonicity conditions in the mimetic finite difference method for elliptic problems K Lipnikov, G Manzini, D Svyatskiy Journal of Computational Physics 230 (7), 2620-2642, 2011 | 92 | 2011 |
Mikhail J. ShashkovLos Alamos National Lab, X-Computational PhysicsVerified email at lanl.gov