Konstantin Lipnikov
Orcid: 0000-0002-1475-4626
According to our database1,
Konstantin Lipnikov
authored at least 58 papers
between 2001 and 2024.
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Bibliography
2024
2023
SIAM J. Numer. Anal., October, 2023
J. Comput. Phys., February, 2023
A mimetic finite difference based quasi-static magnetohydrodynamic solver for force-free plasmas in tokamak disruptions.
CoRR, 2023
2022
Conservative remapping of material-dependent fields between possibly misaligned material regions.
J. Comput. Phys., 2022
Flow and transport in three-dimensional discrete fracture matrix models using mimetic finite difference on a conforming multi-dimensional mesh.
J. Comput. Phys., 2022
2021
Flow and Transport in Three-Dimensional Discrete Fracture Matrix Models using Mimetic Finite Difference on a Conforming Multi-Dimensional Mesh.
CoRR, 2021
2020
Multidimensional Staggered Grid Residual Distribution Scheme for Lagrangian Hydrodynamics.
SIAM J. Sci. Comput., 2020
Conservative high-order discontinuous Galerkin remap scheme on curvilinear polyhedral meshes.
J. Comput. Phys., 2020
Verification benchmarks for single-phase flow in three-dimensional fractured porous media.
CoRR, 2020
2019
A high-order conservative remap for discontinuous Galerkin schemes on curvilinear polygonal meshes.
J. Comput. Phys., 2019
A high-order discontinuous Galerkin method for level set problems on polygonal meshes.
J. Comput. Phys., 2019
2017
Convergence Analysis of the mimetic Finite Difference Method for Elliptic Problems with Staggered Discretizations of Diffusion Coefficients.
SIAM J. Numer. Anal., 2017
J. Comput. Phys., 2017
Approximate static condensation algorithm for solving multi-material diffusion problems on meshes non-aligned with material interfaces.
J. Comput. Phys., 2017
The arbitrary order mimetic finite difference method for a diffusion equation with a non-symmetric diffusion tensor.
J. Comput. Phys., 2017
2016
The mimetic finite difference method for elliptic and parabolic problems with a staggered discretization of diffusion coefficient.
J. Comput. Phys., 2016
2014
Discontinuous Galerkin and mimetic finite difference methods for coupled Stokes-Darcy flows on polygonal and polyhedral grids.
Numerische Mathematik, 2014
J. Comput. Phys., 2014
A high-order mimetic method on unstructured polyhedral meshes for the diffusion equation.
J. Comput. Phys., 2014
2013
Anderson Acceleration for Nonlinear Finite Volume Scheme for Advection-Diffusion Problems.
SIAM J. Sci. Comput., 2013
J. Comput. Phys., 2013
J. Comput. Phys., 2013
2011
Arbitrary-Order Nodal Mimetic Discretizations of Elliptic Problems on Polygonal Meshes.
SIAM J. Numer. Anal., 2011
Adaptive Strategies in the Multilevel Multiscale Mimetic (M<sup>3</sup>) Method for Two-Phase Flows in Porous Media.
Multiscale Model. Simul., 2011
On optimal convergence rate of finite element solutions of boundary value problems on adaptive anisotropic meshes.
Math. Comput. Simul., 2011
Analysis of the monotonicity conditions in the mimetic finite difference method for elliptic problems.
J. Comput. Phys., 2011
The mimetic finite difference method for the 3D magnetostatic field problems on polyhedral meshes.
J. Comput. Phys., 2011
Proceedings of the 20th International Meshing Roundtable, 2011
2010
SIAM J. Sci. Comput., 2010
Error Analysis for a Mimetic Discretization of the Steady Stokes Problem on Polyhedral Meshes.
SIAM J. Numer. Anal., 2010
Proceedings of the International Conference on Computational Science, 2010
A multiscale multilevel mimetic (M<sup>3</sup>) method for well-driven flows in porous media.
Proceedings of the International Conference on Computational Science, 2010
A monotone finite volume method for advection-diffusion equations on unstructured polygonal meshes.
J. Comput. Phys., 2010
A framework for developing a mimetic tensor artificial viscosity for Lagrangian hydrocodes on arbitrary polygonal meshes.
J. Comput. Phys., 2010
2009
Numerische Mathematik, 2009
Error estimates for a finite element solution of the diffusion equation based on composite norms.
J. Num. Math., 2009
J. Comput. Phys., 2009
Interpolation-free monotone finite volume method for diffusion equations on polygonal meshes.
J. Comput. Phys., 2009
Anisotropic Mesh Adaptation for Solution of Finite Element Problems Using Hierarchical Edge-Based Error Estimates.
Proceedings of the 18th International Meshing Roundtable, 2009
Proceedings of the Computational Science, 2009
2008
A multilevel multiscale mimetic (M<sup>3</sup>) method for two-phase flows in porous media.
J. Comput. Phys., 2008
High-order mimetic finite difference method for diffusion problems on polygonal meshes.
J. Comput. Phys., 2008
2007
Monotone finite volume schemes for diffusion equations on unstructured triangular and shape-regular polygonal meshes.
J. Comput. Phys., 2007
Proceedings of the 16th International Meshing Roundtable, 2007
2006
Proceedings of the 15th International Meshing Roundtable, 2006
2005
Convergence of the Mimetic Finite Difference Method for Diffusion Problems on Polyhedral Meshes.
SIAM J. Numer. Anal., 2005
Superconvergence of the Velocity in Mimetic Finite Difference Methods on Quadrilaterals.
SIAM J. Numer. Anal., 2005
Numerische Mathematik, 2005
Proceedings of the 14th International Meshing Roundtable, 2005
2004
Error Estimates for Hessian-Based Mesh Adaptation Algorithms with Control of Adaptivity.
Proceedings of the 13th International Meshing Roundtable, 2004
2002
J. Num. Math., 2002
2001
J. Num. Math., 2001