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1

The nonconforming virtual element method

Ayuso de Dios, Blanca, Lipnikov, Konstantin, Manzini, Gianmarco

Journal:

ESAIM Mathematical Modelling and Numerical Analysis

Année:

2016

Langue:

english

Fichier:

PDF, 797 KB

english, 2016

2

A new discretization methodology for diffusion problems on generalized polyhedral meshes

Franco Brezzi, Konstantin Lipnikov, Mikhail Shashkov, Valeria Simoncini

Journal:

Computer Methods in Applied Mechanics and Engineering

Année:

2007

Langue:

english

Fichier:

PDF, 369 KB

english, 2007

3

Convergence of the Mimetic Finite Difference Method for Diffusion Problems on Polyhedral Meshes

Brezzi, Franco, Lipnikov, Konstantin, Shashkov, Mikhail

Journal:

SIAM Journal on Numerical Analysis

Année:

2005

Langue:

english

Fichier:

PDF, 266 KB

english, 2005

4

Mimetic finite difference methods for diffusion equations on non-orthogonal non-conformal meshes

Konstantin Lipnikov, Jim Morel, Mikhail Shashkov

Journal:

Journal of Computational Physics

Année:

2004

Langue:

english

Fichier:

PDF, 188 KB

english, 2004

5

The mimetic finite difference discretization of diffusion problem on unstructured polyhedral meshes

Konstantin Lipnikov, Mikhail Shashkov, Daniil Svyatskiy

Journal:

Journal of Computational Physics

Année:

2006

Langue:

english

Fichier:

PDF, 1.07 MB

english, 2006

6

A mortar mimetic finite difference method on non-matching grids

Markus Berndt, Konstantin Lipnikov, Mikhail Shashkov, Mary F. Wheeler, Ivan Yotov

Journal:

Numerische Mathematik

Année:

2005

Langue:

english

Fichier:

PDF, 310 KB

english, 2005

7

M-ADAPTATION METHOD FOR ACOUSTIC WAVE EQUATION ON SQUARE MESHES

GYRYA, VITALIY, LIPNIKOV, KONSTANTIN

Journal:

Journal of Computational Acoustics

Année:

2012

Langue:

english

Fichier:

PDF, 1.39 MB

english, 2012

8

A Lagrangian staggered grid Godunov-like approach for hydrodynamics

Morgan, Nathaniel R., Lipnikov, Konstantin N., Burton, Donald E., Kenamond, Mark A.

Journal:

Journal of Computational Physics

Année:

2014

Langue:

english

Fichier:

PDF, 9.44 MB

english, 2014

9

A FAMILY OF MIMETIC FINITE DIFFERENCE METHODS ON POLYGONAL AND POLYHEDRAL MESHES

BREZZI, FRANCO, LIPNIKOV, KONSTANTIN, SIMONCINI, VALERIA

Journal:

Mathematical Models and Methods in Applied Sciences

Année:

2005

Langue:

english

Fichier:

PDF, 383 KB

english, 2005

10

M-Adaptation in the mimetic finite difference method

Gyrya, Vitaliy, Lipnikov, Konstantin, Manzini, Gianmarco, Svyatskiy, Daniil

Journal:

Mathematical Models and Methods in Applied Sciences

Année:

2014

Langue:

english

Fichier:

PDF, 893 KB

english, 2014

11

The mimetic finite difference method for the Landau–Lifshitz equation

Kim, Eugenia, Lipnikov, Konstantin

Journal:

Journal of Computational Physics

Année:

2017

Langue:

english

Fichier:

PDF, 1.35 MB

english, 2017

12

Mimetic finite differences for elliptic problems

Brezzi, Franco, Buffa, Annalisa, Lipnikov, Konstantin

Journal:

ESAIM Mathematical Modelling and Numerical Analysis

Année:

2009

Langue:

english

Fichier:

PDF, 615 KB

english, 2009

13

The error-minimization-based rezone strategy for arbitrary Lagrangian-Eulerian methods

Konstantin Lipnikov, Mikhail Shashkov

Journal:

Numerical Methods for Partial Differential Equations

Année:

2006

Langue:

english

Fichier:

PDF, 230 KB

english, 2006

14

On optimal convergence rate of finite element solutions of boundary value problems on adaptive anisotropic meshes

Abdellatif Agouzal, Konstantin Lipnikov, Yuri V. Vassilevski

Journal:

Mathematics and Computers in Simulation

Année:

2011

Langue:

english

Fichier:

PDF, 797 KB

english, 2011

15

Parallel adaptive solution of 3D boundary value problems by Hessian recovery

Konstantin Lipnikov, Yuri Vassilevski

Journal:

Computer Methods in Applied Mechanics and Engineering

Année:

2003

Langue:

english

Fichier:

PDF, 264 KB

english, 2003

16

Local flux mimetic finite difference methods

Konstantin Lipnikov, Mikhail Shashkov, Ivan Yotov

Journal:

Numerische Mathematik

Année:

2009

Langue:

english

Fichier:

PDF, 579 KB

english, 2009

17

On control of adaptation in parallel mesh generation

Konstantin Lipnikov, Yuri Vassilevski

Journal:

Engineering with Computers

Année:

2004

Langue:

english

Fichier:

PDF, 405 KB

english, 2004

18

On discrete boundaries and solution accuracy in anisotropic adaptive meshing

Konstantin Lipnikov, Yuri Vassilevski

Journal:

Engineering with Computers

Année:

2010

Langue:

english

Fichier:

PDF, 1.20 MB

english, 2010

19

High-order mimetic finite difference method for diffusion problems on polygonal meshes

Vitaliy Gyrya, Konstantin Lipnikov

Journal:

Journal of Computational Physics

Année:

2008

Langue:

english

Fichier:

PDF, 616 KB

english, 2008

20

A multiscale multilevel mimetic (M3) method for well-driven flows in porous media

Konstantin Lipnikov, J. David Moulton, Daniil Svyatskiy

Journal:

Procedia Computer Science

Année:

2010

Langue:

english

Fichier:

PDF, 2.26 MB

english, 2010

21

A mimetic tensor artificial viscosity method for arbitrary polyhedral meshes

Konstantin Lipnikov, Mikhail Shashkov

Journal:

Procedia Computer Science

Année:

2010

Langue:

english

Fichier:

PDF, 760 KB

english, 2010

22

Second-order accurate monotone finite volume scheme for Richards’ equation

Misiats, Oleksandr, Lipnikov, Konstantin

Journal:

Journal of Computational Physics

Année:

2013

Langue:

english

Fichier:

PDF, 1.25 MB

english, 2013

23

Mimetic finite difference method

Lipnikov, Konstantin, Manzini, Gianmarco, Shashkov, Mikhail

Journal:

Journal of Computational Physics

Année:

2014

Langue:

english

Fichier:

PDF, 2.52 MB

english, 2014

24

Discontinuous Galerkin and mimetic finite difference methods for coupled Stokes–Darcy flows on polygonal and polyhedral grids

Konstantin Lipnikov, Danail Vassilev, Ivan Yotov

Journal:

Numerische Mathematik

Année:

2014

Langue:

english

Fichier:

PDF, 1.60 MB

english, 2014

25

Mimetic discretization of two-dimensional magnetic diffusion equations

Lipnikov, Konstantin, Reynolds, James, Nelson, Eric

Journal:

Journal of Computational Physics

Année:

2013

Langue:

english

Fichier:

PDF, 2.04 MB

english, 2013

26

FICTITIOUS DOMAIN METHODS FOR THE NUMERICAL SOLUTION OF THREE-DIMENSIONAL ACOUSTIC SCATTERING PROBLEMS

HEIKKOLA, ERKKI, KUZNETSOV, YURI A., LIPNIKOV, KONSTANTIN N.

Journal:

Journal of Computational Acoustics

Année:

1999

Langue:

english

Fichier:

PDF, 837 KB

english, 1999

27

CONVERGENCE OF MIMETIC FINITE DIFFERENCE METHOD FOR DIFFUSION PROBLEMS ON POLYHEDRAL MESHES WITH CURVED FACES

BREZZI, FRANCO, LIPNIKOV, KONSTANTIN, SHASHKOV, MIKHAIL

Journal:

Mathematical Models and Methods in Applied Sciences

Année:

2006

Langue:

english

Fichier:

PDF, 308 KB

english, 2006

28

AIP Conference Proceedings [AIP ICNAAM 2010: International Conference of Numerical Analysis and Applied Mathematics 2010 - Rhodes (Greece) (19–25 September 2009)] - Adaptive Solution of PDEs on Anisotropic Triangular Meshes

Agouzal, Abdelattif, Lipnikov, Konstantin, Vassilevski, Yuri, Simos, Theodore E., Psihoyios, George, Tsitouras, Ch.

Année:

2010

Langue:

english

Fichier:

PDF, 228 KB

english, 2010

29

The mimetic finite difference method for elliptic and parabolic problems with a staggered discretization of diffusion coefficient

Lipnikov, Konstantin, Manzini, Gianmarco, Moulton, J. David, Shashkov, Mikhail

Journal:

Journal of Computational Physics

Année:

2016

Langue:

english

Fichier:

PDF, 1.30 MB

english, 2016

30

Convergence of the Mimetic Finite Difference Method for Diffusion Problems on Polyhedral Meshes

Franco Brezzi, Konstantin Lipnikov and Mikhail Shashkov

Journal:

SIAM Journal on Numerical Analysis

Année:

2006

Langue:

english

Fichier:

PDF, 778 KB

english, 2006

31

New preconditioning strategy for Jacobian-free solvers for variably saturated flows with Richards’ equation

Lipnikov, Konstantin, Moulton, David, Svyatskiy, Daniil

Journal:

Advances in Water Resources

Année:

2016

Langue:

english

Fichier:

PDF, 2.84 MB

english, 2016

32

Mesh Infrastructure for Coupled Multiprocess Geophysical Simulations

Garimella, Rao V., Perkins, William A., Buksas, Mike W., Berndt, Markus, Lipnikov, Konstantin, Coon, Ethan, Moulton, John D., Painter, Scott L.

Journal:

Procedia Engineering

Année:

2014

Langue:

english

Fichier:

PDF, 4.86 MB

english, 2014

33

The arbitrary order mixed mimetic finite difference method for the diffusion equation

Gyrya, Vitaliy, Lipnikov, Konstantin, Manzini, Gianmarco

Journal:

ESAIM Mathematical Modelling and Numerical Analysis

Année:

2016

Langue:

english

Fichier:

PDF, 588 KB

english, 2016

34

A block-diagonal preconditioner for a four-field mixed finite element method for Biot's equations

Bean, Maranda, Lipnikov, Konstantin, Yi, Son-Young

Journal:

Applied Numerical Mathematics

Année:

2017

Langue:

english

Fichier:

PDF, 1020 KB

english, 2017

35

Climate change impact on residual contaminants under sustainable remediation

Libera, Arianna, de Barros, Felipe P.J., Faybishenko, Boris, Eddy-Dilek, Carol, Denham, Miles, Lipnikov, Konstantin, Moulton, David, Maco, Barbara, Wainwright, Haruko

Journal:

Journal of Contaminant Hydrology

Année:

2019

Langue:

english

Fichier:

PDF, 1.95 MB

english, 2019

36

A high-order discontinuous Galerkin method for level set problems on polygonal meshes

Lipnikov, Konstantin, Morgan, Nathaniel

Journal:

Journal of Computational Physics

Année:

2019

Fichier:

PDF, 4.46 MB

2019

37

A high-order conservative remap for discontinuous Galerkin schemes on curvilinear polygonal meshes

Lipnikov, Konstantin, Morgan, Nathaniel

Journal:

Journal of Computational Physics

Année:

2019

Langue:

english

Fichier:

PDF, 6.56 MB

english, 2019

38

Multidimensional Staggered Grid Residual Distribution Scheme for Lagrangian Hydrodynamics

Abgrall, RÃ©mi, Lipnikov, Konstantin, Morgan, Nathaniel, Tokareva, Svetlana

Journal:

SIAM Journal on Scientific Computing

Année:

2020

Fichier:

PDF, 2.74 MB

2020

39

Conservative high-order discontinuous Galerkin remap scheme on curvilinear polyhedral meshes

Lipnikov, Konstantin, Morgan, Nathaniel

Journal:

Journal of Computational Physics

Année:

2020

Fichier:

PDF, 3.92 MB

2020

40

Coupling surface flow and subsurface flow in complex soil structures using mimetic finite differences

Coon, Ethan T., Moulton, J. David, Kikinzon, Evgeny, Berndt, Markus, Manzini, Gianmarco, Garimella, Rao, Lipnikov, Konstantin, Painter, Scott L.

Journal:

Advances in Water Resources

Année:

2020

Fichier:

PDF, 6.55 MB

2020