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Konstantin Lipnikov
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2020 – today
- 2024
- [i4]Daniel A. Serino, Qi Tang
, Xian-Zhu Tang, Tzanio V. Kolev, Konstantin Lipnikov:
An adaptive Newton-based free-boundary Grad-Shafranov solver. CoRR abs/2407.03499 (2024) - 2023
- [j46]Konstantin Lipnikov
Conservative high-order data transfer method on generalized polygonal meshes. J. Comput. Phys. 474: 111822 (2023) - [j45]Jennifer Vaccaro
Applying an Oriented Divergence Theorem to Swept Face Remap. SIAM J. Numer. Anal. 61(5): 2285-2304 (2023) - [i3]Zakariae Jorti, Qi Tang
A mimetic finite difference based quasi-static magnetohydrodynamic solver for force-free plasmas in tokamak disruptions. CoRR abs/2303.08337 (2023) - 2022
- [j44]Jeffrey D. Hyman
Flow and transport in three-dimensional discrete fracture matrix models using mimetic finite difference on a conforming multi-dimensional mesh. J. Comput. Phys. 466: 111396 (2022) - [j43]Hoby Rakotoarivelo, Rao V. Garimella
Conservative remapping of material-dependent fields between possibly misaligned material regions. J. Comput. Phys. 466: 111401 (2022) - [j42]Jan Velechovský
Multi-material swept face remapping on polyhedral meshes. J. Comput. Phys. 469: 111553 (2022) - 2021
- [i2]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 abs/2112.12592 (2021) - 2020
- [j41]Konstantin Lipnikov, Nathaniel R. Morgan
Conservative high-order discontinuous Galerkin remap scheme on curvilinear polyhedral meshes. J. Comput. Phys. 420: 109712 (2020) - [j40]Rémi Abgrall
Multidimensional Staggered Grid Residual Distribution Scheme for Lagrangian Hydrodynamics. SIAM J. Sci. Comput. 42(1): A343-A370 (2020) - [i1]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
Verification benchmarks for single-phase flow in three-dimensional fractured porous media. CoRR abs/2002.07005 (2020)
2010 – 2019
- 2019
- [j39]Konstantin Lipnikov, Nathaniel R. Morgan
A high-order discontinuous Galerkin method for level set problems on polygonal meshes. J. Comput. Phys. 397 (2019) - [j38]Konstantin Lipnikov, Nathaniel R. Morgan
A high-order conservative remap for discontinuous Galerkin schemes on curvilinear polygonal meshes. J. Comput. Phys. 399 (2019) - 2017
- [j37]Eugenia Kim, Konstantin Lipnikov
The mimetic finite difference method for the Landau-Lifshitz equation. J. Comput. Phys. 328: 109-130 (2017) - [j36]Evgeny Kikinzon
Approximate static condensation algorithm for solving multi-material diffusion problems on meshes non-aligned with material interfaces. J. Comput. Phys. 347: 416-436 (2017) - [j35]Vitaliy Gyrya
The arbitrary order mimetic finite difference method for a diffusion equation with a non-symmetric diffusion tensor. J. Comput. Phys. 348: 549-566 (2017) - [j34]Gianmarco Manzini, Konstantin Lipnikov, J. David Moulton
Convergence Analysis of the mimetic Finite Difference Method for Elliptic Problems with Staggered Discretizations of Diffusion Coefficients. SIAM J. Numer. Anal. 55(6): 2956-2981 (2017) - 2016
- [j33]Konstantin Lipnikov
The mimetic finite difference method for elliptic and parabolic problems with a staggered discretization of diffusion coefficient. J. Comput. Phys. 305: 111-126 (2016) - 2014
- [j32]Konstantin Lipnikov
Mimetic finite difference method. J. Comput. Phys. 257: 1163-1227 (2014) - [j31]Nathaniel R. Morgan
A Lagrangian staggered grid Godunov-like approach for hydrodynamics. J. Comput. Phys. 259: 568-597 (2014) - [j30]Konstantin Lipnikov
A high-order mimetic method on unstructured polyhedral meshes for the diffusion equation. J. Comput. Phys. 272: 360-385 (2014) - [j29]Konstantin Lipnikov
Discontinuous Galerkin and mimetic finite difference methods for coupled Stokes-Darcy flows on polygonal and polyhedral grids. Numerische Mathematik 126(2): 321-360 (2014) - 2013
- [j28]Oleksandr Misiats, Konstantin Lipnikov
Second-order accurate monotone finite volume scheme for Richards' equation. J. Comput. Phys. 239: 123-137 (2013) - [j27]Konstantin Lipnikov
Mimetic discretization of two-dimensional magnetic diffusion equations. J. Comput. Phys. 247: 1-16 (2013) - [j26]Konstantin Lipnikov
Anderson Acceleration for Nonlinear Finite Volume Scheme for Advection-Diffusion Problems. SIAM J. Sci. Comput. 35(2) (2013) - 2011
- [j25]Konstantin Lipnikov
The mimetic finite difference method for the 3D magnetostatic field problems on polyhedral meshes. J. Comput. Phys. 230(2): 305-328 (2011) - [j24]Konstantin Lipnikov
Analysis of the monotonicity conditions in the mimetic finite difference method for elliptic problems. J. Comput. Phys. 230(7): 2620-2642 (2011) - [j23]Abdellatif Agouzal, Konstantin Lipnikov
On optimal convergence rate of finite element solutions of boundary value problems on adaptive anisotropic meshes. Math. Comput. Simul. 81(10): 1949-1961 (2011) - [j22]Konstantin Lipnikov
Adaptive Strategies in the Multilevel Multiscale Mimetic (M3) Method for Two-Phase Flows in Porous Media. Multiscale Model. Simul. 9(3): 991-1016 (2011) - [j21]L. Beirão da Veiga
Arbitrary-Order Nodal Mimetic Discretizations of Elliptic Problems on Polygonal Meshes. SIAM J. Numer. Anal. 49(5): 1737-1760 (2011) - [c9]Abdellatif Agouzal, Konstantin Lipnikov, Yuri V. Vassilevski
Families of Meshes Minimizing P 1 Interpolation Error. IMR 2011: 313-327 - 2010
- [j20]Konstantin Lipnikov
On discrete boundaries and solution accuracy in anisotropic adaptive meshing. Eng. Comput. 26(3): 281-288 (2010) - [j19]Konstantin Lipnikov
A monotone finite volume method for advection-diffusion equations on unstructured polygonal meshes. J. Comput. Phys. 229(11): 4017-4032 (2010) - [j18]Konstantin Lipnikov
A framework for developing a mimetic tensor artificial viscosity for Lagrangian hydrocodes on arbitrary polygonal meshes. J. Comput. Phys. 229(20): 7911-7941 (2010) - [j17]L. Beirão da Veiga
Error Analysis for a Mimetic Discretization of the Steady Stokes Problem on Polyhedral Meshes. SIAM J. Numer. Anal. 48(4): 1419-1443 (2010) - [j16]L. Beirão da Veiga
A Mimetic Discretization of the Stokes Problem with Selected Edge Bubbles. SIAM J. Sci. Comput. 32(2): 875-893 (2010) - [c8]Konstantin Lipnikov
A multiscale multilevel mimetic (M3) method for well-driven flows in porous media. ICCS 2010: 771-779 - [c7]Konstantin Lipnikov
A mimetic tensor artificial viscosity method for arbitrary polyhedral meshes. ICCS 2010: 1921-1929
2000 – 2009
- 2009
- [j15]Konstantin Lipnikov
Interpolation-free monotone finite volume method for diffusion equations on polygonal meshes. J. Comput. Phys. 228(3): 703-716 (2009) - [j14]L. Beirão da Veiga
Mimetic finite difference method for the Stokes problem on polygonal meshes. J. Comput. Phys. 228(19): 7215-7232 (2009) - [j13]Abdellatif Agouzal, Konstantin Lipnikov
Error estimates for a finite element solution of the diffusion equation based on composite norms. J. Num. Math. 17(2): 77-95 (2009) - [j12]Konstantin Lipnikov
Local flux mimetic finite difference methods. Numerische Mathematik 112(1): 115-152 (2009) - [j11]Lourenço Beirão da Veiga
Convergence analysis of the high-order mimetic finite difference method. Numerische Mathematik 113(3): 325-356 (2009) - [c6]Konstantin Lipnikov
A Multilevel Multiscale Mimetic (M3) Method for an Anisotropic Infiltration Problem. ICCS (1) 2009: 685-694 - [c5]Abdellatif Agouzal, Konstantin Lipnikov
Anisotropic Mesh Adaptation for Solution of Finite Element Problems Using Hierarchical Edge-Based Error Estimates. IMR 2009: 595-610 - 2008
- [j10]Konstantin Lipnikov
A multilevel multiscale mimetic (M3) method for two-phase flows in porous media. J. Comput. Phys. 227(14): 6727-6753 (2008) - [j9]Vitaliy Gyrya
High-order mimetic finite difference method for diffusion problems on polygonal meshes. J. Comput. Phys. 227(20): 8841-8854 (2008) - 2007
- [j8]Konstantin Lipnikov
Monotone finite volume schemes for diffusion equations on unstructured triangular and shape-regular polygonal meshes. J. Comput. Phys. 227(1): 492-512 (2007) - [c4]Abdellatif Agouzal, Konstantin Lipnikov
Generation of Quasi-Optimal Meshes Based on a Posteriori Error Estimates. IMR 2007: 139-148 - 2006
- [c3]Konstantin Lipnikov, Yuri V. Vassilevski
Analysis of Hessian Recovery Methods for Generating Adaptive Meshes. IMR 2006: 163-171 - 2005
- [j7]Markus Berndt
A mortar mimetic finite difference method on non-matching grids. Numerische Mathematik 102(2): 203-230 (2005) - [j6]Markus Berndt
Superconvergence of the Velocity in Mimetic Finite Difference Methods on Quadrilaterals. SIAM J. Numer. Anal. 43(4): 1728-1749 (2005) - [j5]Franco Brezzi
Convergence of the Mimetic Finite Difference Method for Diffusion Problems on Polyhedral Meshes. SIAM J. Numer. Anal. 43(5): 1872-1896 (2005) - [c2]Konstantin Lipnikov, Yuri V. Vassilevski
On discrete boundaries and solution accuracy in anisotropic adaptive meshing. IMR 2005: 312-324 - 2004
- [j4]Konstantin Lipnikov, Yuri V. Vassilevski
On control of adaptation in parallel mesh generation. Eng. Comput. 20(3): 193-201 (2004) - [c1]Konstantin Lipnikov, Yuri V. Vassilevski:
Error Estimates for Hessian-Based Mesh Adaptation Algorithms with Control of Adaptivity. IMR 2004: 345-352 - 2002
- [j3]Dietrich Braess, Peter Deuflhard, Konstantin Lipnikov:
A Subspace Cascadic Multigrid Method for Mortar Elements. Computing 69(3): 205-225 (2002) - [j2]Yuri A. Kuznetsov, Konstantin Lipnikov:
Fast separable solver for mixed finite element methods and applications. J. Num. Math. 10(2): 137-155 (2002) - 2001
- [j1]Markus Berndt, Konstantin Lipnikov, J. David Moulton
Convergence of mimetic finite difference discretizations of the diffusion equation. J. Num. Math. 9(4): 265-284 (2001)
Coauthor Index
aka: Mikhail Yu. Shashkov
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