Mimetic finite difference method K Lipnikov, G Manzini, M Shashkov Journal of Computational Physics 257, 1163-1227, 2014 | 536 | 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 | 509 | 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 | 483 | 2005 |
The mimetic finite difference method for elliptic problems LB da Veiga, K Lipnikov, G Manzini Springer, 2014 | 376 | 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 | 309 | 2007 |
The nonconforming virtual element method BA de Dios, K Lipnikov, G Manzini ESAIM: Mathematical Modelling and Numerical Analysis 50 (3), 879-904, 2016 | 295 | 2016 |
Mimetic finite differences for elliptic problems F Brezzi, A Buffa, K Lipnikov ESAIM: Mathematical Modelling and Numerical Analysis 43 (2), 277-295, 2009 | 253 | 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 | 205 | 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 | 196 | 2007 |
Local flux mimetic finite difference methods K Lipnikov, M Shashkov, I Yotov Numerische Mathematik 112, 115-152, 2009 | 154 | 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 | 151 | 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 | 141 | 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 | 136 | 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 | 131 | 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 | 129 | 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 | 128 | 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 | 116 | 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 | 96 | 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 | 94 | 2012 |
High-order mimetic finite difference method for diffusion problems on polygonal meshes V Gyrya, K Lipnikov Journal of Computational Physics 227 (20), 8841-8854, 2008 | 91 | 2008 |