| 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 | 312 | 2007 |
| 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 | 207 | 2009 |
| Integrated surface/subsurface permafrost thermal hydrology: Model formulation and proof‐of‐concept simulations SL Painter, ET Coon, AL Atchley, M Berndt, R Garimella, JD Moulton, ... Water Resources Research 52 (8), 6062-6077, 2016 | 137 | 2016 |
| 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 | 130 | 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 | 118 | 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 | 100 | 2021 |
| A constrained finite element method satisfying the discrete maximum principle for anisotropic diffusion problems D Kuzmin, MJ Shashkov, D Svyatskiy Journal of Computational Physics 228 (9), 3448-3463, 2009 | 99 | 2009 |
| 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 | 96 | 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 |
| A multilevel multiscale mimetic (M3) method for two-phase flows in porous media K Lipnikov, JD Moulton, D Svyatskiy Journal of Computational Physics 227 (14), 6727-6753, 2008 | 83 | 2008 |
| Anderson acceleration for nonlinear finite volume scheme for advection-diffusion problems K Lipnikov, D Svyatskiy, Y Vassilevski SIAM Journal on Scientific Computing 35 (2), A1120-A1136, 2013 | 51 | 2013 |
| Advanced terrestrial simulator E Coon, D Svyatsky, A Jan, E Kikinzon, M Berndt, A Atchley, D Harp, ... Computer Software, USDOE Office of Science (SC), Biological and …, 2019 | 43 | 2019 |
| Specifcation of the near-earth space environment with shields V Jordanova, GL Delzanno, MG Henderson, H Godinez, CA Jeffery, ... Journal of Atmospheric and Solar-Terrestrial Physics, 2017 | 43 | 2017 |
| Self-similar structure and experimental signatures of suprathermal ion distribution in inertial confinement fusion implosions G Kagan, D Svyatskiy, HG Rinderknecht, MJ Rosenberg, AB Zylstra, ... Physical review letters 115 (10), 105002, 2015 | 39 | 2015 |
| Second-order accurate finite volume schemes with the discrete maximum principle for solving Richards’ equation on unstructured meshes D Svyatskiy, K Lipnikov Advances in water resources 104, 114-126, 2017 | 24 | 2017 |
| Flow and transport in three-dimensional discrete fracture matrix models using mimetic finite difference on a conforming multi-dimensional mesh JD Hyman, MR Sweeney, CW Gable, D Svyatsky, K Lipnikov, JD Moulton Journal of Computational Physics 466, 111396, 2022 | 23 | 2022 |
| M-adaptation in the mimetic finite difference method V Gyrya, K Lipnikov, G Manzini, D Svyatskiy Mathematical Models and Methods in Applied Sciences 24 (08), 1621-1663, 2014 | 23 | 2014 |
| An electrostatic particle-in-cell code on multi-block structured meshes CS Meierbachtol, D Svyatskiy, GL Delzanno, LJ Vernon, JD Moulton Journal of Computational Physics 350, 796-823, 2017 | 22 | 2017 |
| New preconditioning strategy for Jacobian-free solvers for variably saturated flows with Richards’ equation K Lipnikov, D Moulton, D Svyatskiy Advances in water resources 94, 11-22, 2016 | 22 | 2016 |
| Ion kinetic dynamics in strongly-shocked plasmas relevant to ICF HG Rinderknecht, PA Amendt, MJ Rosenberg, CK Li, JA Frenje, ... Nuclear Fusion 57 (6), 066014, 2017 | 18 | 2017 |
Lipnikov, KonstantinLos Alamos National LaboratoryVerified email at lanl.gov
