Konstantin Lipnikov

Publication Activity (10 Years)

Years Active: 2001-2024
Publications (10 Years): 18

Top Topics

Finite Difference

Top Venues

J. Comput. Phys.

SIAM J. Numer. Anal.

Numerische Mathematik

Publications

Daniel A. Serino, Qi Tang, Xian-Zhu Tang, Tzanio V. Kolev, Konstantin Lipnikov
An adaptive Newton-based free-boundary Grad-Shafranov solver. CoRR (2024)
Zakariae Jorti, Qi Tang, Konstantin Lipnikov, Xian-Zhu Tang
A mimetic finite difference based quasi-static magnetohydrodynamic solver for force-free plasmas in tokamak disruptions. CoRR (2023)
Konstantin Lipnikov, Mikhail J. Shashkov
Conservative high-order data transfer method on generalized polygonal meshes. J. Comput. Phys. 474 (2023)
Jennifer Vaccaro, Konstantin Lipnikov
Applying an Oriented Divergence Theorem to Swept Face Remap. SIAM J. Numer. Anal. 61 (5) (2023)
Jan Velechovský, Evgeny Kikinzon, Navamita Ray, Hoby Rakotoarivelo, Angela Herring, Mack Kenamond, Konstantin Lipnikov, Mikhail Yu. Shashkov, Rao V. Garimella, Daniel W. Shevitz
Multi-material swept face remapping on polyhedral meshes. J. Comput. Phys. 469 (2022)
Jeffrey D. Hyman, Matthew R. Sweeney, Carl W. Gable, Daniil Svyatsky, Konstantin Lipnikov, J. David Moulton
Flow and transport in three-dimensional discrete fracture matrix models using mimetic finite difference on a conforming multi-dimensional mesh. J. Comput. Phys. 466 (2022)
Hoby Rakotoarivelo, Rao V. Garimella, Angela Herring, Mikhail J. Shashkov, Daniel W. Shevitz, Evgeny Kikinzon, Jan Velechovský, Konstantin Lipnikov, Navamita Ray
Conservative remapping of material-dependent fields between possibly misaligned material regions. J. Comput. Phys. 466 (2022)
Jeffrey D. Hyman, Matthew R. Sweeney, Carl W. Gable, Daniil Svyatskiy, Konstantin Lipnikov, J. David Moulton
Flow and Transport in Three-Dimensional Discrete Fracture Matrix Models using Mimetic Finite Difference on a Conforming Multi-Dimensional Mesh. CoRR (2021)
Konstantin Lipnikov, Nathaniel R. Morgan
Conservative high-order discontinuous Galerkin remap scheme on curvilinear polyhedral meshes. J. Comput. Phys. 420 (2020)
Inga Berre, Wietse M. Boon, Bernd Flemisch, Alessio Fumagalli, Dennis Gläser, Eirik Keilegavlen, Anna Scotti, Ivar Stefansson, Alexandru Tatomir, Konstantin Brenner, Samuel Burbulla, Philippe R. B. Devloo, Omar Durán, Marco Favino, Julian Hennicker, I-Hsien Lee, Konstantin Lipnikov, Roland Masson, Klaus Mosthaf, Maria Giuseppina Chiara Nestola, Chuen-Fa Ni, Kirill D. Nikitin, Philipp Schädle, Daniil Svyatskiy, Ruslan M. Yanbarisov, Patrick Zulian
Verification benchmarks for single-phase flow in three-dimensional fractured porous media. CoRR (2020)
Rémi Abgrall, Konstantin Lipnikov, Nathaniel R. Morgan, Svetlana V. Tokareva
Multidimensional Staggered Grid Residual Distribution Scheme for Lagrangian Hydrodynamics. SIAM J. Sci. Comput. 42 (1) (2020)
Konstantin Lipnikov, Nathaniel R. Morgan
A high-order discontinuous Galerkin method for level set problems on polygonal meshes. J. Comput. Phys. 397 (2019)
Konstantin Lipnikov, Nathaniel R. Morgan
A high-order conservative remap for discontinuous Galerkin schemes on curvilinear polygonal meshes. J. Comput. Phys. 399 (2019)
Gianmarco Manzini, Konstantin Lipnikov, J. David Moulton, Mikhail J. Shashkov
Convergence Analysis of the mimetic Finite Difference Method for Elliptic Problems with Staggered Discretizations of Diffusion Coefficients. SIAM J. Numer. Anal. 55 (6) (2017)
Evgeny Kikinzon, Yuri A. Kuznetsov, Konstantin Lipnikov, Mikhail J. Shashkov
Approximate static condensation algorithm for solving multi-material diffusion problems on meshes non-aligned with material interfaces. J. Comput. Phys. 347 (2017)
Vitaliy Gyrya, Konstantin Lipnikov
The arbitrary order mimetic finite difference method for a diffusion equation with a non-symmetric diffusion tensor. J. Comput. Phys. 348 (2017)
Eugenia Kim, Konstantin Lipnikov
The mimetic finite difference method for the Landau-Lifshitz equation. J. Comput. Phys. 328 (2017)
Konstantin Lipnikov, Gianmarco Manzini, J. David Moulton, Mikhail J. Shashkov
The mimetic finite difference method for elliptic and parabolic problems with a staggered discretization of diffusion coefficient. J. Comput. Phys. 305 (2016)
Konstantin Lipnikov, Gianmarco Manzini, Mikhail J. Shashkov
Mimetic finite difference method. J. Comput. Phys. 257 (2014)
Konstantin Lipnikov, Gianmarco Manzini
A high-order mimetic method on unstructured polyhedral meshes for the diffusion equation. J. Comput. Phys. 272 (2014)
Konstantin Lipnikov, Danail Vassilev, Ivan Yotov
Discontinuous Galerkin and mimetic finite difference methods for coupled Stokes-Darcy flows on polygonal and polyhedral grids. Numerische Mathematik 126 (2) (2014)
Nathaniel R. Morgan, Konstantin Lipnikov, Donald E. Burton, Mark A. Kenamond
A Lagrangian staggered grid Godunov-like approach for hydrodynamics. J. Comput. Phys. 259 (2014)
Konstantin Lipnikov, Daniil Svyatskiy, Yuri V. Vassilevski
Anderson Acceleration for Nonlinear Finite Volume Scheme for Advection-Diffusion Problems. SIAM J. Sci. Comput. 35 (2) (2013)
Oleksandr Misiats, Konstantin Lipnikov
Second-order accurate monotone finite volume scheme for Richards' equation. J. Comput. Phys. 239 (2013)
Konstantin Lipnikov, James Reynolds, Eric Nelson
Mimetic discretization of two-dimensional magnetic diffusion equations. J. Comput. Phys. 247 (2013)
Konstantin Lipnikov, J. David Moulton, Daniil Svyatskiy
) Method for Two-Phase Flows in Porous Media. Multiscale Model. Simul. 9 (3) (2011)
Abdellatif Agouzal, Konstantin Lipnikov, Yuri V. Vassilevski
Interpolation Error. IMR (2011)
Konstantin Lipnikov, Gianmarco Manzini, Franco Brezzi, Annalisa Buffa
The mimetic finite difference method for the 3D magnetostatic field problems on polyhedral meshes. J. Comput. Phys. 230 (2) (2011)
Konstantin Lipnikov, Gianmarco Manzini, Daniil Svyatskiy
Analysis of the monotonicity conditions in the mimetic finite difference method for elliptic problems. J. Comput. Phys. 230 (7) (2011)
L. Beirão da Veiga, Konstantin Lipnikov, Gianmarco Manzini
Arbitrary-Order Nodal Mimetic Discretizations of Elliptic Problems on Polygonal Meshes. SIAM J. Numer. Anal. 49 (5) (2011)
Abdellatif Agouzal, Konstantin Lipnikov, Yuri V. Vassilevski
On optimal convergence rate of finite element solutions of boundary value problems on adaptive anisotropic meshes. Math. Comput. Simul. 81 (10) (2011)
L. Beirão da Veiga, Konstantin Lipnikov, Gianmarco Manzini
Error Analysis for a Mimetic Discretization of the Steady Stokes Problem on Polyhedral Meshes. SIAM J. Numer. Anal. 48 (4) (2010)
Konstantin Lipnikov, Mikhail J. Shashkov
A framework for developing a mimetic tensor artificial viscosity for Lagrangian hydrocodes on arbitrary polygonal meshes. J. Comput. Phys. 229 (20) (2010)
Konstantin Lipnikov, Yuri V. Vassilevski
On discrete boundaries and solution accuracy in anisotropic adaptive meshing. Eng. Comput. 26 (3) (2010)
L. Beirão da Veiga, Konstantin Lipnikov
A Mimetic Discretization of the Stokes Problem with Selected Edge Bubbles. SIAM J. Sci. Comput. 32 (2) (2010)
Konstantin Lipnikov, Mikhail J. Shashkov
A mimetic tensor artificial viscosity method for arbitrary polyhedral meshes. ICCS (1) (2010)
Konstantin Lipnikov, Daniil Svyatskiy, Yuri V. Vassilevski
A monotone finite volume method for advection-diffusion equations on unstructured polygonal meshes. J. Comput. Phys. 229 (11) (2010)
Konstantin Lipnikov, J. David Moulton, Daniil Svyatskiy
) method for well-driven flows in porous media. ICCS (1) (2010)
Konstantin Lipnikov, J. David Moulton, Daniil Svyatskiy
A Multilevel Multiscale Mimetic (M3) Method for an Anisotropic Infiltration Problem. ICCS (1) (2009)
Abdellatif Agouzal, Konstantin Lipnikov, Yuri V. Vassilevski
Anisotropic Mesh Adaptation for Solution of Finite Element Problems Using Hierarchical Edge-Based Error Estimates. IMR (2009)
Lourenço Beirão da Veiga, Konstantin Lipnikov, Gianmarco Manzini
Convergence analysis of the high-order mimetic finite difference method. Numerische Mathematik 113 (3) (2009)
Konstantin Lipnikov, Mikhail J. Shashkov, Ivan Yotov
Local flux mimetic finite difference methods. Numerische Mathematik 112 (1) (2009)
Konstantin Lipnikov, Daniil Svyatskiy, Yuri V. Vassilevski
Interpolation-free monotone finite volume method for diffusion equations on polygonal meshes. J. Comput. Phys. 228 (3) (2009)
L. Beirão da Veiga, Vitaliy Gyrya, Konstantin Lipnikov, Gianmarco Manzini
Mimetic finite difference method for the Stokes problem on polygonal meshes. J. Comput. Phys. 228 (19) (2009)
Abdellatif Agouzal, Konstantin Lipnikov, Yuri V. Vassilevski
Error estimates for a finite element solution of the diffusion equation based on composite norms. J. Num. Math. 17 (2) (2009)
Vitaliy Gyrya, Konstantin Lipnikov
High-order mimetic finite difference method for diffusion problems on polygonal meshes. J. Comput. Phys. 227 (20) (2008)
Konstantin Lipnikov, J. David Moulton, Daniil Svyatskiy
) method for two-phase flows in porous media. J. Comput. Phys. 227 (14) (2008)
Konstantin Lipnikov, Mikhail J. Shashkov, Daniil Svyatskiy, Yuri V. Vassilevski
Monotone finite volume schemes for diffusion equations on unstructured triangular and shape-regular polygonal meshes. J. Comput. Phys. 227 (1) (2007)
Abdellatif Agouzal, Konstantin Lipnikov, Yuri V. Vassilevski
Generation of Quasi-Optimal Meshes Based on a Posteriori Error Estimates. IMR (2007)
Konstantin Lipnikov, Yuri V. Vassilevski
Analysis of Hessian Recovery Methods for Generating Adaptive Meshes. IMR (2006)
Konstantin Lipnikov, Yuri V. Vassilevski
On discrete boundaries and solution accuracy in anisotropic adaptive meshing. IMR (2005)
Markus Berndt, Konstantin Lipnikov, Mikhail J. Shashkov, Mary F. Wheeler, Ivan Yotov
Superconvergence of the Velocity in Mimetic Finite Difference Methods on Quadrilaterals. SIAM J. Numer. Anal. 43 (4) (2005)
Markus Berndt, Konstantin Lipnikov, Mikhail J. Shashkov, Mary F. Wheeler, Ivan Yotov
A mortar mimetic finite difference method on non-matching grids. Numerische Mathematik 102 (2) (2005)
Franco Brezzi, Konstantin Lipnikov, Mikhail J. Shashkov
Convergence of the Mimetic Finite Difference Method for Diffusion Problems on Polyhedral Meshes. SIAM J. Numer. Anal. 43 (5) (2005)
Konstantin Lipnikov, Yuri V. Vassilevski
On control of adaptation in parallel mesh generation. Eng. Comput. 20 (3) (2004)
Konstantin Lipnikov, Yuri V. Vassilevski
Error Estimates for Hessian-Based Mesh Adaptation Algorithms with Control of Adaptivity. IMR (2004)
Yuri A. Kuznetsov, Konstantin Lipnikov
Fast separable solver for mixed finite element methods and applications. J. Num. Math. 10 (2) (2002)
Dietrich Braess, Peter Deuflhard, Konstantin Lipnikov
A Subspace Cascadic Multigrid Method for Mortar Elements. Computing 69 (3) (2002)
Markus Berndt, Konstantin Lipnikov, J. David Moulton, Mikhail J. Shashkov
Convergence of mimetic finite difference discretizations of the diffusion equation. J. Num. Math. 9 (4) (2001)