Konstantin Lipnikov

59 papers Misc 2Journal 50Unranked 7
YearRankTypeTitle / Venue / Authors
2024 J jnl
An adaptive Newton-based free-boundary Grad-Shafranov solver.
CoRR
Daniel A. Serino, Qi Tang, Xian-Zhu Tang, Tzanio V. Kolev, Konstantin Lipnikov
2023 J jnl
A mimetic finite difference based quasi-static magnetohydrodynamic solver for force-free plasmas in tokamak disruptions.
CoRR
Zakariae Jorti, Qi Tang, Konstantin Lipnikov, Xian-Zhu Tang
2023 J jnl
Applying an Oriented Divergence Theorem to Swept Face Remap.
SIAM J. Numer. Anal.
Jennifer Vaccaro, Konstantin Lipnikov
2023 J jnl
Conservative high-order data transfer method on generalized polygonal meshes.
J. Comput. Phys.
Konstantin Lipnikov, Mikhail J. Shashkov
2022 J jnl
Conservative remapping of material-dependent fields between possibly misaligned material regions.
J. Comput. Phys.
Hoby Rakotoarivelo, Rao V. Garimella, Angela Herring, Mikhail J. Shashkov, Daniel W. Shevitz, Evgeny Kikinzon, Jan Velechovský, Konstantin Lipnikov, Navamita Ray
2022 J jnl
Flow and transport in three-dimensional discrete fracture matrix models using mimetic finite difference on a conforming multi-dimensional mesh.
J. Comput. Phys.
Jeffrey D. Hyman, Matthew R. Sweeney, Carl W. Gable, Daniil Svyatsky, Konstantin Lipnikov, J. David Moulton
2022 J jnl
Multi-material swept face remapping on polyhedral meshes.
J. Comput. Phys.
Jan Velechovský, Evgeny Kikinzon, Navamita Ray, Hoby Rakotoarivelo, Angela Herring, Mack Kenamond, Konstantin Lipnikov, Mikhail Yu. Shashkov, Rao V. Garimella, Daniel W. Shevitz
2021 J jnl
Flow and Transport in Three-Dimensional Discrete Fracture Matrix Models using Mimetic Finite Difference on a Conforming Multi-Dimensional Mesh.
CoRR
Jeffrey D. Hyman, Matthew R. Sweeney, Carl W. Gable, Daniil Svyatskiy, Konstantin Lipnikov, J. David Moulton
2020 J jnl
Conservative high-order discontinuous Galerkin remap scheme on curvilinear polyhedral meshes.
J. Comput. Phys.
Konstantin Lipnikov, Nathaniel R. Morgan
2020 J jnl
Multidimensional Staggered Grid Residual Distribution Scheme for Lagrangian Hydrodynamics.
SIAM J. Sci. Comput.
Rémi Abgrall, Konstantin Lipnikov, Nathaniel R. Morgan, Svetlana V. Tokareva
2020 J jnl
Verification benchmarks for single-phase flow in three-dimensional fractured porous media.
CoRR
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
2019 J jnl
A high-order conservative remap for discontinuous Galerkin schemes on curvilinear polygonal meshes.
J. Comput. Phys.
Konstantin Lipnikov, Nathaniel R. Morgan
2019 J jnl
A high-order discontinuous Galerkin method for level set problems on polygonal meshes.
J. Comput. Phys.
Konstantin Lipnikov, Nathaniel R. Morgan
2017 J jnl
Approximate static condensation algorithm for solving multi-material diffusion problems on meshes non-aligned with material interfaces.
J. Comput. Phys.
Evgeny Kikinzon, Yuri A. Kuznetsov, Konstantin Lipnikov, Mikhail J. Shashkov
2017 J jnl
Convergence Analysis of the mimetic Finite Difference Method for Elliptic Problems with Staggered Discretizations of Diffusion Coefficients.
SIAM J. Numer. Anal.
Gianmarco Manzini, Konstantin Lipnikov, J. David Moulton, Mikhail J. Shashkov
2017 J jnl
The arbitrary order mimetic finite difference method for a diffusion equation with a non-symmetric diffusion tensor.
J. Comput. Phys.
Vitaliy Gyrya, Konstantin Lipnikov
2017 J jnl
The mimetic finite difference method for the Landau-Lifshitz equation.
J. Comput. Phys.
Eugenia Kim, Konstantin Lipnikov
2016 J jnl
The mimetic finite difference method for elliptic and parabolic problems with a staggered discretization of diffusion coefficient.
J. Comput. Phys.
Konstantin Lipnikov, Gianmarco Manzini, J. David Moulton, Mikhail J. Shashkov
2014 J jnl
A Lagrangian staggered grid Godunov-like approach for hydrodynamics.
J. Comput. Phys.
Nathaniel R. Morgan, Konstantin Lipnikov, Donald E. Burton, Mark A. Kenamond
2014 J jnl
A high-order mimetic method on unstructured polyhedral meshes for the diffusion equation.
J. Comput. Phys.
Konstantin Lipnikov, Gianmarco Manzini
2014 J jnl
Discontinuous Galerkin and mimetic finite difference methods for coupled Stokes-Darcy flows on polygonal and polyhedral grids.
Numerische Mathematik
Konstantin Lipnikov, Danail Vassilev, Ivan Yotov
2014 J jnl
Mimetic finite difference method.
J. Comput. Phys.
Konstantin Lipnikov, Gianmarco Manzini, Mikhail J. Shashkov
2013 J jnl
Anderson Acceleration for Nonlinear Finite Volume Scheme for Advection-Diffusion Problems.
SIAM J. Sci. Comput.
Konstantin Lipnikov, Daniil Svyatskiy, Yuri V. Vassilevski
2013 J jnl
Mimetic discretization of two-dimensional magnetic diffusion equations.
J. Comput. Phys.
Konstantin Lipnikov, James Reynolds, Eric Nelson
2013 J jnl
Second-order accurate monotone finite volume scheme for Richards' equation.
J. Comput. Phys.
Oleksandr Misiats, Konstantin Lipnikov
2011 J jnl
Adaptive Strategies in the Multilevel Multiscale Mimetic (M
Multiscale Model. Simul.
Konstantin Lipnikov, J. David Moulton, Daniil Svyatskiy
2011 J jnl
Analysis of the monotonicity conditions in the mimetic finite difference method for elliptic problems.
J. Comput. Phys.
Konstantin Lipnikov, Gianmarco Manzini, Daniil Svyatskiy
2011 J jnl
Arbitrary-Order Nodal Mimetic Discretizations of Elliptic Problems on Polygonal Meshes.
SIAM J. Numer. Anal.
L. Beirão da Veiga, Konstantin Lipnikov, Gianmarco Manzini
2011 — conf
Families of Meshes Minimizing
IMR
Abdellatif Agouzal, Konstantin Lipnikov, Yuri V. Vassilevski
2011 J jnl
On optimal convergence rate of finite element solutions of boundary value problems on adaptive anisotropic meshes.
Math. Comput. Simul.
Abdellatif Agouzal, Konstantin Lipnikov, Yuri V. Vassilevski
2011 J jnl
The mimetic finite difference method for the 3D magnetostatic field problems on polyhedral meshes.
J. Comput. Phys.
Konstantin Lipnikov, Gianmarco Manzini, Franco Brezzi, Annalisa Buffa
2010 J jnl
A Mimetic Discretization of the Stokes Problem with Selected Edge Bubbles.
SIAM J. Sci. Comput.
L. Beirão da Veiga, Konstantin Lipnikov
2010 J jnl
A framework for developing a mimetic tensor artificial viscosity for Lagrangian hydrocodes on arbitrary polygonal meshes.
J. Comput. Phys.
Konstantin Lipnikov, Mikhail J. Shashkov
2010 Misc conf
A mimetic tensor artificial viscosity method for arbitrary polyhedral meshes.
ICCS
Konstantin Lipnikov, Mikhail J. Shashkov
2010 J jnl
A monotone finite volume method for advection-diffusion equations on unstructured polygonal meshes.
J. Comput. Phys.
Konstantin Lipnikov, Daniil Svyatskiy, Yuri V. Vassilevski
2010 Misc conf
A multiscale multilevel mimetic (M
ICCS
Konstantin Lipnikov, J. David Moulton, Daniil Svyatskiy
2010 J jnl
Error Analysis for a Mimetic Discretization of the Steady Stokes Problem on Polyhedral Meshes.
SIAM J. Numer. Anal.
L. Beirão da Veiga, Konstantin Lipnikov, Gianmarco Manzini
2010 J jnl
On discrete boundaries and solution accuracy in anisotropic adaptive meshing.
Eng. Comput.
Konstantin Lipnikov, Yuri V. Vassilevski
2009 — conf
A Multilevel Multiscale Mimetic (M3) Method for an Anisotropic Infiltration Problem.
ICCS (1)
Konstantin Lipnikov, J. David Moulton, Daniil Svyatskiy
2009 — conf
Anisotropic Mesh Adaptation for Solution of Finite Element Problems Using Hierarchical Edge-Based Error Estimates.
IMR
Abdellatif Agouzal, Konstantin Lipnikov, Yuri V. Vassilevski
2009 J jnl
Convergence analysis of the high-order mimetic finite difference method.
Numerische Mathematik
Lourenço Beirão da Veiga, Konstantin Lipnikov, Gianmarco Manzini
2009 J jnl
Error estimates for a finite element solution of the diffusion equation based on composite norms.
J. Num. Math.
Abdellatif Agouzal, Konstantin Lipnikov, Yuri V. Vassilevski
2009 J jnl
Interpolation-free monotone finite volume method for diffusion equations on polygonal meshes.
J. Comput. Phys.
Konstantin Lipnikov, Daniil Svyatskiy, Yuri V. Vassilevski
2009 J jnl
Local flux mimetic finite difference methods.
Numerische Mathematik
Konstantin Lipnikov, Mikhail J. Shashkov, Ivan Yotov
2009 J jnl
Mimetic finite difference method for the Stokes problem on polygonal meshes.
J. Comput. Phys.
L. Beirão da Veiga, Vitaliy Gyrya, Konstantin Lipnikov, Gianmarco Manzini
2008 J jnl
A multilevel multiscale mimetic (M
J. Comput. Phys.
Konstantin Lipnikov, J. David Moulton, Daniil Svyatskiy
2008 J jnl
High-order mimetic finite difference method for diffusion problems on polygonal meshes.
J. Comput. Phys.
Vitaliy Gyrya, Konstantin Lipnikov
2007 — conf
Generation of Quasi-Optimal Meshes Based on a Posteriori Error Estimates.
IMR
Abdellatif Agouzal, Konstantin Lipnikov, Yuri V. Vassilevski
2007 J jnl
Monotone finite volume schemes for diffusion equations on unstructured triangular and shape-regular polygonal meshes.
J. Comput. Phys.
Konstantin Lipnikov, Mikhail J. Shashkov, Daniil Svyatskiy, Yuri V. Vassilevski
2006 — conf
Analysis of Hessian Recovery Methods for Generating Adaptive Meshes.
IMR
Konstantin Lipnikov, Yuri V. Vassilevski
2005 J jnl
A mortar mimetic finite difference method on non-matching grids.
Numerische Mathematik
Markus Berndt, Konstantin Lipnikov, Mikhail J. Shashkov, Mary F. Wheeler, Ivan Yotov
2005 J jnl
Convergence of the Mimetic Finite Difference Method for Diffusion Problems on Polyhedral Meshes.
SIAM J. Numer. Anal.
Franco Brezzi, Konstantin Lipnikov, Mikhail J. Shashkov
2005 — conf
On discrete boundaries and solution accuracy in anisotropic adaptive meshing.
IMR
Konstantin Lipnikov, Yuri V. Vassilevski
2005 J jnl
Superconvergence of the Velocity in Mimetic Finite Difference Methods on Quadrilaterals.
SIAM J. Numer. Anal.
Markus Berndt, Konstantin Lipnikov, Mikhail J. Shashkov, Mary F. Wheeler, Ivan Yotov
2004 — conf
Error Estimates for Hessian-Based Mesh Adaptation Algorithms with Control of Adaptivity.
IMR
Konstantin Lipnikov, Yuri V. Vassilevski
2004 J jnl
On control of adaptation in parallel mesh generation.
Eng. Comput.
Konstantin Lipnikov, Yuri V. Vassilevski
2002 J jnl
A Subspace Cascadic Multigrid Method for Mortar Elements.
Computing
Dietrich Braess, Peter Deuflhard, Konstantin Lipnikov
2002 J jnl
Fast separable solver for mixed finite element methods and applications.
J. Num. Math.
Yuri A. Kuznetsov, Konstantin Lipnikov
2001 J jnl
Convergence of mimetic finite difference discretizations of the diffusion equation.
J. Num. Math.
Markus Berndt, Konstantin Lipnikov, J. David Moulton, Mikhail J. Shashkov