×

zbMATH — the first resource for mathematics

Lipnikov, Konstantin N.

Compute Distance To:
Author ID: lipnikov.konstantin-n Recent zbMATH articles by "Lipnikov, Konstantin N."
Published as: Lipnikov, K.; Lipnikov, K. N.; Lipnikov, Konstantin; Lipnikov, Konstantin N.
External Links: ORCID
Documents Indexed: 82 Publications since 1989, including 1 Book

Publications by Year

Citations contained in zbMATH

69 Publications have been cited 1,705 times in 710 Documents Cited by Year
Convergence of the mimetic finite difference method for diffusion problems on polyhedral meshes. Zbl 1108.65102
Brezzi, Franco; Lipnikov, Konstantin; Shashkov, Mikhail
153
2005
A family of mimetic finite difference methods on polygonal and polyhedral meshes. Zbl 1083.65099
Brezzi, Franco; Lipnikov, Konstantin; Simoncini, Valeria
130
2005
Mimetic finite difference method. Zbl 1352.65420
Lipnikov, Konstantin; Manzini, Gianmarco; Shashkov, Mikhail
115
2014
The mimetic finite difference method for elliptic problems. Zbl 1286.65141
Beirão da Veiga, Lourenço; Lipnikov, Konstantin; Manzini, Gianmarco
99
2014
Mimetic finite differences for elliptic problems. Zbl 1177.65164
Brezzi, Franco; Buffa, Annalisa; Lipnikov, Konstantin
82
2009
Monotone finite volume schemes for diffusion equations on unstructured triangular and shape-regular polygonal meshes. Zbl 1130.65113
Lipnikov, K.; Shashkov, M.; Svyatskiy, D.; Vassilevski, Yu.
78
2007
The nonconforming virtual element method. Zbl 1343.65140
Ayuso de Dios, Blanca; Lipnikov, Konstantin; Manzini, Gianmarco
69
2016
A new discretization methodology for diffusion problems on generalized polyhedral meshes. Zbl 1173.76370
Brezzi, Franco; Lipnikov, Konstantin; Shashkov, Mikhail; Simoncini, Valeria
68
2007
Convergence of mimetic finite difference method for diffusion problems on polyhedral meshes with curved faces. Zbl 1094.65111
Brezzi, Franco; Lipnikov, Konstantin; Shashkov, Mikhail
51
2006
Interpolation-free monotone finite volume method for diffusion equations on polygonal meshes. Zbl 1158.65083
Lipnikov, K.; Svyatskiy, D.; Vassilevski, Y.
50
2009
Arbitrary-order nodal mimetic discretizations of elliptic problems on polygonal meshes. Zbl 1242.65215
Beirão da Veiga, L.; Lipnikov, K.; Manzini, G.
48
2011
Mimetic finite difference methods for diffusion equations on non-orthogonal non-conformal meshes. Zbl 1057.65071
Lipnikov, Konstantin; Morel, Jim; Shashkov, Mikhail
48
2004
Local flux mimetic finite difference methods. Zbl 1165.65063
Lipnikov, Konstantin; Shashkov, Mikhail; Yotov, Ivan
45
2009
Convergence analysis of the high-order mimetic finite difference method. Zbl 1183.65132
Beirão da Veiga, L.; Lipnikov, K.; Manzini, G.
44
2009
Mimetic finite difference method for the Stokes problem on polygonal meshes. Zbl 1172.76032
Beirão da Veiga, L.; Gyrya, V.; Lipnikov, K.; Manzini, G.
43
2009
The mimetic finite difference discretization of diffusion problem on unstructured polyhedral meshes. Zbl 1120.65332
Lipnikov, Konstantin; Shashkov, Mikhail; Svyatskiy, Daniil
33
2006
Superconvergence of the velocity in mimetic finite difference methods on quadrilaterals. Zbl 1096.76030
Berndt, M.; Lipnikov, K.; Shashkov, M.; Wheeler, M. F.; Yotov, I.
32
2005
Analysis of the monotonicity conditions in the mimetic finite difference method for elliptic problems. Zbl 1218.65117
Lipnikov, K.; Manzini, G.; Svyatskiy, D.
31
2011
The mimetic finite difference method on polygonal meshes for diffusion-type problems. Zbl 1088.76046
Kuznetsov, Y.; Lipnikov, K.; Shashkov, M.
30
2005
Discontinuous Galerkin and mimetic finite difference methods for coupled Stokes-Darcy flows on polygonal and polyhedral grids. Zbl 1282.76139
Lipnikov, Konstantin; Vassilev, Danail; Yotov, Ivan
28
2014
The mimetic finite difference method for the 3D magnetostatic field problems on polyhedral meshes. Zbl 1207.78041
Lipnikov, K.; Manzini, G.; Brezzi, F.; Buffa, A.
28
2011
High-order mimetic finite difference method for diffusion problems on polygonal meshes. Zbl 1152.65101
Gyrya, Vitaliy; Lipnikov, Konstantin
28
2008
Minimal stencil finite volume scheme with the discrete maximum principle. Zbl 1262.65151
Lipnikov, K.; Svyatskiy, D.; Vassilevski, Yu.
27
2012
A mimetic discretization of the Stokes problem with selected edge bubbles. Zbl 1352.76021
Beirão da Veiga, L.; Lipnikov, K.
27
2010
A monotone finite volume method for advection-diffusion equations on unstructured polygonal meshes. Zbl 1192.65140
Lipnikov, K.; Svyatskiy, D.; Vassilevski, Yu. V.
23
2010
A multilevel multiscale mimetic (M\(^3\)) method for two-phase flows in porous media. Zbl 1338.76096
Lipnikov, K.; Moulton, J. D.; Svyatskiy, D.
23
2008
Convergence of mimetic finite difference discretizations of the diffusion equation. Zbl 1014.65114
Berndt, M.; Lipnikov, K.; Moulton, D.; Shashkov, M.
23
2001
A high-order mimetic method on unstructured polyhedral meshes for the diffusion equation. Zbl 1349.65581
Lipnikov, K.; Manzini, G.
22
2014
Error analysis for a mimetic discretization of the steady Stokes problem on polyhedral meshes. Zbl 1352.76022
Beirão da Veiga, L.; Lipnikov, K.; Manzini, G.
22
2010
A Lagrangian staggered grid Godunov-like approach for hydrodynamics. Zbl 1349.76365
Morgan, Nathaniel R.; Lipnikov, Konstantin N.; Burton, Donald E.; Kenamond, Mark A.
17
2014
A framework for developing a mimetic tensor artificial viscosity for Lagrangian hydrocodes on arbitrary polygonal meshes. Zbl 1425.76186
Lipnikov, K.; Shashkov, M.
15
2010
A subspace cascadic multigrid method for mortar elements. Zbl 1239.65076
Braess, Dietrich; Deuflhard, Peter; Lipnikov, Konstantin N.
15
2002
The mimetic finite difference method for elliptic and parabolic problems with a staggered discretization of diffusion coefficient. Zbl 1349.65315
Lipnikov, Konstantin; Manzini, Gianmarco; Moulton, J. David; Shashkov, Mikhail
13
2016
The error-minimization-based strategy for moving mesh methods. Zbl 1115.76374
Lipnikov, Konstantin; Shashkov, Mikhail
12
2006
An adaptive algorithm for quasioptimal mesh generation. Zbl 0981.65141
Vasilevskii, Yu. V.; Lipnikov, K. N.
12
1999
The arbitrary order mixed mimetic finite difference method for the diffusion equation. Zbl 1342.65202
Gyrya, Vitaliy; Lipnikov, Konstantin; Manzini, Gianmarco
10
2016
M-adaptation in the mimetic finite difference method. Zbl 1291.65320
Gyrya, Vitaliy; Lipnikov, Konstantin; Manzini, Gianmarco; Svyatskiy, Daniil
10
2014
M-adaptation method for acoustic wave equation on square meshes. Zbl 1360.65206
Gyrya, Vitaliy; Lipnikov, Konstantin
9
2012
Fictitious domain methods for the numerical solution of three-dimensional acoustic scattering problems. Zbl 1360.76140
Heikkola, Erkki; Kuznetsov, Yuri A.; Lipnikov, Konstantin N.
8
1999
Anderson acceleration for nonlinear finite volume scheme for advection-diffusion problems. Zbl 1266.65181
Lipnikov, K.; Svyatskiy, D.; Vassilevski, Y.
7
2013
A mortar mimetic finite difference method on nonmatching grids. Zbl 1089.65114
Berndt, Markus; Lipnikov, Konstantin; Shashkov, Mikhail; Wheeler, Mary F.; Yotov, Ivan
7
2005
Solution of the diffusion equation in multi-material domains by sub-division of elements along reconstructed interfaces. Zbl 1429.76100
Garimella, R. V.; Lipnikov, K.
6
2011
Hessian-free metric-based mesh adaptation via geometry of interpolation error. Zbl 1224.65283
Agouzal, A.; Lipnikov, K.; Vassilevski, Yu.
6
2010
Adaptive generation of quasi-optimal tetrahedral meshes. Zbl 0946.65125
Agouzal, A.; Lipnikov, K.; Vassilevski, Yu.
6
1999
Monotonicity conditions in the mimetic finite difference method. Zbl 1246.65203
Lipnikov, Konstantin; Manzini, Gianmarco; Svyatskiy, Daniil
5
2011
Parallel adaptive solution of 3D boundary value problems by Hessian recovery. Zbl 1025.65057
Lipnikov, Konstantin; Vassilevski, Yuri
5
2003
Mimetic discretization of two-dimensional magnetic diffusion equations. Zbl 1349.78095
Lipnikov, Konstantin; Reynolds, James; Nelson, Eric
4
2013
3D Helmholtz wave equation by fictitious domain method. Zbl 0925.65185
Kuznetsov, Yu. A.; Lipnikov, K. N.
4
1998
Second-order accurate monotone finite volume scheme for Richards’ equation. Zbl 1284.76269
Misiats, Oleksandr; Lipnikov, Konstantin
3
2013
Adaptive strategies in the multilevel multiscale mimetic (M\(^3\)) method for two-phase flows in porous media. Zbl 1247.76055
Lipnikov, K.; Moulton, J. D.; Svyatskiy, D.
3
2011
Nested grid iteration for incompressible viscous flow and transport. Zbl 1043.76519
Kirk, B.; Lipnikov, K.; Carey, G. F.
3
2003
The arbitrary order mimetic finite difference method for a diffusion equation with a non-symmetric diffusion tensor. Zbl 1380.65325
Gyrya, V.; Lipnikov, K.
2
2017
Convergence analysis of the mimetic finite difference method for elliptic problems with staggered discretizations of diffusion coefficients. Zbl 1422.65321
Manzini, G.; Lipnikov, K.; Moulton, J. D.; Shashkov, M.
2
2017
Effective shear viscosity and dynamics of suspensions of micro-swimmers from small to moderate concentrations. Zbl 1232.92032
Gyrya, V.; Lipnikov, K.; Aranson, I. S.; Berlyand, L.
2
2011
Mimetic finite difference method. Zbl 1422.65318
Lipnikov, Konstantin
2
2008
Hessian-based anisotropic mesh adaption in domains with discrete boundaries. Zbl 1080.65115
Vassilevski, Yu. V.; Dyadechko, V. G.; Lipnikov, K. N.
2
2005
Mathematical modeling and numerical algorithms for poroelastic problems. Zbl 1138.74393
Kuznetsov, Yuri; Lipnikov, Konstantin; Lyons, Stephen; Maliassov, Serguei
2
2003
Domain decomposition with subdomain CCG for material jump elliptic problems. Zbl 0921.65077
Deuflhard, P.; Lipnikov, K.
2
1998
The mimetic finite difference method for the Landau-Lifshitz equation. Zbl 1406.78022
Kim, Eugenia; Lipnikov, Konstantin
1
2017
A block-diagonal preconditioner for a four-field mixed finite element method for Biot’s equations. Zbl 1433.76069
Bean, Maranda; Lipnikov, Konstantin; Yi, Son-Young
1
2017
Discretization of mixed formulations of elliptic problems on polyhedral meshes. Zbl 1357.65233
Lipnikov, Konstantin; Manzini, Gianmarco
1
2016
\(M\)-adaptation method for acoustic wave equation on rectangular meshes. Zbl 1267.65106
Gyrya, V.; Lipnikov, K.
1
2013
On optimal convergence rate of finite element solutions of boundary value problems on adaptive anisotropic meshes. Zbl 1221.65291
Agouzal, Abdellatif; Lipnikov, Konstantin; Vassilevski, Yuri V.
1
2011
Error estimates for a finite element solution of the diffusion equation based on composite norms. Zbl 1170.65085
Agouzal, A.; Lipnikov, K.; Vassilevski, Yu.
1
2009
Generation of quasi-optimal meshes based on a posteriori error estimates. Zbl 1134.65310
Agouzal, Abdellatif; Lipnikov, Konstantin; Vassilevski, Yuri
1
2008
The error-minimization-based rezone strategy for arbitrary Lagrangian-Eulerian methods. Zbl 1089.76039
Lipnikov, Konstantin; Shashkov, Mikhail
1
2006
Error evaluations for controllable adaptive algorithms based on the Hessian recovery. Zbl 1087.65113
Vasilevskij, Yu. V.; Lipnikov, K. N.
1
2005
Optimal triangulations: existence, approximations, and double differentiation of \(P_1\) finite element functions. Zbl 1076.65112
Vasilevskij, Yu. V.; Lipnikov, K. N.
1
2003
An efficient iterative solver for a simplified poroelasticity problem. Zbl 0997.74065
Kuznetsov, Yu.; Lipnikov, K.
1
2000
The arbitrary order mimetic finite difference method for a diffusion equation with a non-symmetric diffusion tensor. Zbl 1380.65325
Gyrya, V.; Lipnikov, K.
2
2017
Convergence analysis of the mimetic finite difference method for elliptic problems with staggered discretizations of diffusion coefficients. Zbl 1422.65321
Manzini, G.; Lipnikov, K.; Moulton, J. D.; Shashkov, M.
2
2017
The mimetic finite difference method for the Landau-Lifshitz equation. Zbl 1406.78022
Kim, Eugenia; Lipnikov, Konstantin
1
2017
A block-diagonal preconditioner for a four-field mixed finite element method for Biot’s equations. Zbl 1433.76069
Bean, Maranda; Lipnikov, Konstantin; Yi, Son-Young
1
2017
The nonconforming virtual element method. Zbl 1343.65140
Ayuso de Dios, Blanca; Lipnikov, Konstantin; Manzini, Gianmarco
69
2016
The mimetic finite difference method for elliptic and parabolic problems with a staggered discretization of diffusion coefficient. Zbl 1349.65315
Lipnikov, Konstantin; Manzini, Gianmarco; Moulton, J. David; Shashkov, Mikhail
13
2016
The arbitrary order mixed mimetic finite difference method for the diffusion equation. Zbl 1342.65202
Gyrya, Vitaliy; Lipnikov, Konstantin; Manzini, Gianmarco
10
2016
Discretization of mixed formulations of elliptic problems on polyhedral meshes. Zbl 1357.65233
Lipnikov, Konstantin; Manzini, Gianmarco
1
2016
Mimetic finite difference method. Zbl 1352.65420
Lipnikov, Konstantin; Manzini, Gianmarco; Shashkov, Mikhail
115
2014
The mimetic finite difference method for elliptic problems. Zbl 1286.65141
Beirão da Veiga, Lourenço; Lipnikov, Konstantin; Manzini, Gianmarco
99
2014
Discontinuous Galerkin and mimetic finite difference methods for coupled Stokes-Darcy flows on polygonal and polyhedral grids. Zbl 1282.76139
Lipnikov, Konstantin; Vassilev, Danail; Yotov, Ivan
28
2014
A high-order mimetic method on unstructured polyhedral meshes for the diffusion equation. Zbl 1349.65581
Lipnikov, K.; Manzini, G.
22
2014
A Lagrangian staggered grid Godunov-like approach for hydrodynamics. Zbl 1349.76365
Morgan, Nathaniel R.; Lipnikov, Konstantin N.; Burton, Donald E.; Kenamond, Mark A.
17
2014
M-adaptation in the mimetic finite difference method. Zbl 1291.65320
Gyrya, Vitaliy; Lipnikov, Konstantin; Manzini, Gianmarco; Svyatskiy, Daniil
10
2014
Anderson acceleration for nonlinear finite volume scheme for advection-diffusion problems. Zbl 1266.65181
Lipnikov, K.; Svyatskiy, D.; Vassilevski, Y.
7
2013
Mimetic discretization of two-dimensional magnetic diffusion equations. Zbl 1349.78095
Lipnikov, Konstantin; Reynolds, James; Nelson, Eric
4
2013
Second-order accurate monotone finite volume scheme for Richards’ equation. Zbl 1284.76269
Misiats, Oleksandr; Lipnikov, Konstantin
3
2013
\(M\)-adaptation method for acoustic wave equation on rectangular meshes. Zbl 1267.65106
Gyrya, V.; Lipnikov, K.
1
2013
Minimal stencil finite volume scheme with the discrete maximum principle. Zbl 1262.65151
Lipnikov, K.; Svyatskiy, D.; Vassilevski, Yu.
27
2012
M-adaptation method for acoustic wave equation on square meshes. Zbl 1360.65206
Gyrya, Vitaliy; Lipnikov, Konstantin
9
2012
Arbitrary-order nodal mimetic discretizations of elliptic problems on polygonal meshes. Zbl 1242.65215
Beirão da Veiga, L.; Lipnikov, K.; Manzini, G.
48
2011
Analysis of the monotonicity conditions in the mimetic finite difference method for elliptic problems. Zbl 1218.65117
Lipnikov, K.; Manzini, G.; Svyatskiy, D.
31
2011
The mimetic finite difference method for the 3D magnetostatic field problems on polyhedral meshes. Zbl 1207.78041
Lipnikov, K.; Manzini, G.; Brezzi, F.; Buffa, A.
28
2011
Solution of the diffusion equation in multi-material domains by sub-division of elements along reconstructed interfaces. Zbl 1429.76100
Garimella, R. V.; Lipnikov, K.
6
2011
Monotonicity conditions in the mimetic finite difference method. Zbl 1246.65203
Lipnikov, Konstantin; Manzini, Gianmarco; Svyatskiy, Daniil
5
2011
Adaptive strategies in the multilevel multiscale mimetic (M\(^3\)) method for two-phase flows in porous media. Zbl 1247.76055
Lipnikov, K.; Moulton, J. D.; Svyatskiy, D.
3
2011
Effective shear viscosity and dynamics of suspensions of micro-swimmers from small to moderate concentrations. Zbl 1232.92032
Gyrya, V.; Lipnikov, K.; Aranson, I. S.; Berlyand, L.
2
2011
On optimal convergence rate of finite element solutions of boundary value problems on adaptive anisotropic meshes. Zbl 1221.65291
Agouzal, Abdellatif; Lipnikov, Konstantin; Vassilevski, Yuri V.
1
2011
A mimetic discretization of the Stokes problem with selected edge bubbles. Zbl 1352.76021
Beirão da Veiga, L.; Lipnikov, K.
27
2010
A monotone finite volume method for advection-diffusion equations on unstructured polygonal meshes. Zbl 1192.65140
Lipnikov, K.; Svyatskiy, D.; Vassilevski, Yu. V.
23
2010
Error analysis for a mimetic discretization of the steady Stokes problem on polyhedral meshes. Zbl 1352.76022
Beirão da Veiga, L.; Lipnikov, K.; Manzini, G.
22
2010
A framework for developing a mimetic tensor artificial viscosity for Lagrangian hydrocodes on arbitrary polygonal meshes. Zbl 1425.76186
Lipnikov, K.; Shashkov, M.
15
2010
Hessian-free metric-based mesh adaptation via geometry of interpolation error. Zbl 1224.65283
Agouzal, A.; Lipnikov, K.; Vassilevski, Yu.
6
2010
Mimetic finite differences for elliptic problems. Zbl 1177.65164
Brezzi, Franco; Buffa, Annalisa; Lipnikov, Konstantin
82
2009
Interpolation-free monotone finite volume method for diffusion equations on polygonal meshes. Zbl 1158.65083
Lipnikov, K.; Svyatskiy, D.; Vassilevski, Y.
50
2009
Local flux mimetic finite difference methods. Zbl 1165.65063
Lipnikov, Konstantin; Shashkov, Mikhail; Yotov, Ivan
45
2009
Convergence analysis of the high-order mimetic finite difference method. Zbl 1183.65132
Beirão da Veiga, L.; Lipnikov, K.; Manzini, G.
44
2009
Mimetic finite difference method for the Stokes problem on polygonal meshes. Zbl 1172.76032
Beirão da Veiga, L.; Gyrya, V.; Lipnikov, K.; Manzini, G.
43
2009
Error estimates for a finite element solution of the diffusion equation based on composite norms. Zbl 1170.65085
Agouzal, A.; Lipnikov, K.; Vassilevski, Yu.
1
2009
High-order mimetic finite difference method for diffusion problems on polygonal meshes. Zbl 1152.65101
Gyrya, Vitaliy; Lipnikov, Konstantin
28
2008
A multilevel multiscale mimetic (M\(^3\)) method for two-phase flows in porous media. Zbl 1338.76096
Lipnikov, K.; Moulton, J. D.; Svyatskiy, D.
23
2008
Mimetic finite difference method. Zbl 1422.65318
Lipnikov, Konstantin
2
2008
Generation of quasi-optimal meshes based on a posteriori error estimates. Zbl 1134.65310
Agouzal, Abdellatif; Lipnikov, Konstantin; Vassilevski, Yuri
1
2008
Monotone finite volume schemes for diffusion equations on unstructured triangular and shape-regular polygonal meshes. Zbl 1130.65113
Lipnikov, K.; Shashkov, M.; Svyatskiy, D.; Vassilevski, Yu.
78
2007
A new discretization methodology for diffusion problems on generalized polyhedral meshes. Zbl 1173.76370
Brezzi, Franco; Lipnikov, Konstantin; Shashkov, Mikhail; Simoncini, Valeria
68
2007
Convergence of mimetic finite difference method for diffusion problems on polyhedral meshes with curved faces. Zbl 1094.65111
Brezzi, Franco; Lipnikov, Konstantin; Shashkov, Mikhail
51
2006
The mimetic finite difference discretization of diffusion problem on unstructured polyhedral meshes. Zbl 1120.65332
Lipnikov, Konstantin; Shashkov, Mikhail; Svyatskiy, Daniil
33
2006
The error-minimization-based strategy for moving mesh methods. Zbl 1115.76374
Lipnikov, Konstantin; Shashkov, Mikhail
12
2006
The error-minimization-based rezone strategy for arbitrary Lagrangian-Eulerian methods. Zbl 1089.76039
Lipnikov, Konstantin; Shashkov, Mikhail
1
2006
Convergence of the mimetic finite difference method for diffusion problems on polyhedral meshes. Zbl 1108.65102
Brezzi, Franco; Lipnikov, Konstantin; Shashkov, Mikhail
153
2005
A family of mimetic finite difference methods on polygonal and polyhedral meshes. Zbl 1083.65099
Brezzi, Franco; Lipnikov, Konstantin; Simoncini, Valeria
130
2005
Superconvergence of the velocity in mimetic finite difference methods on quadrilaterals. Zbl 1096.76030
Berndt, M.; Lipnikov, K.; Shashkov, M.; Wheeler, M. F.; Yotov, I.
32
2005
The mimetic finite difference method on polygonal meshes for diffusion-type problems. Zbl 1088.76046
Kuznetsov, Y.; Lipnikov, K.; Shashkov, M.
30
2005
A mortar mimetic finite difference method on nonmatching grids. Zbl 1089.65114
Berndt, Markus; Lipnikov, Konstantin; Shashkov, Mikhail; Wheeler, Mary F.; Yotov, Ivan
7
2005
Hessian-based anisotropic mesh adaption in domains with discrete boundaries. Zbl 1080.65115
Vassilevski, Yu. V.; Dyadechko, V. G.; Lipnikov, K. N.
2
2005
Error evaluations for controllable adaptive algorithms based on the Hessian recovery. Zbl 1087.65113
Vasilevskij, Yu. V.; Lipnikov, K. N.
1
2005
Mimetic finite difference methods for diffusion equations on non-orthogonal non-conformal meshes. Zbl 1057.65071
Lipnikov, Konstantin; Morel, Jim; Shashkov, Mikhail
48
2004
Parallel adaptive solution of 3D boundary value problems by Hessian recovery. Zbl 1025.65057
Lipnikov, Konstantin; Vassilevski, Yuri
5
2003
Nested grid iteration for incompressible viscous flow and transport. Zbl 1043.76519
Kirk, B.; Lipnikov, K.; Carey, G. F.
3
2003
Mathematical modeling and numerical algorithms for poroelastic problems. Zbl 1138.74393
Kuznetsov, Yuri; Lipnikov, Konstantin; Lyons, Stephen; Maliassov, Serguei
2
2003
Optimal triangulations: existence, approximations, and double differentiation of \(P_1\) finite element functions. Zbl 1076.65112
Vasilevskij, Yu. V.; Lipnikov, K. N.
1
2003
A subspace cascadic multigrid method for mortar elements. Zbl 1239.65076
Braess, Dietrich; Deuflhard, Peter; Lipnikov, Konstantin N.
15
2002
Convergence of mimetic finite difference discretizations of the diffusion equation. Zbl 1014.65114
Berndt, M.; Lipnikov, K.; Moulton, D.; Shashkov, M.
23
2001
An efficient iterative solver for a simplified poroelasticity problem. Zbl 0997.74065
Kuznetsov, Yu.; Lipnikov, K.
1
2000
An adaptive algorithm for quasioptimal mesh generation. Zbl 0981.65141
Vasilevskii, Yu. V.; Lipnikov, K. N.
12
1999
Fictitious domain methods for the numerical solution of three-dimensional acoustic scattering problems. Zbl 1360.76140
Heikkola, Erkki; Kuznetsov, Yuri A.; Lipnikov, Konstantin N.
8
1999
Adaptive generation of quasi-optimal tetrahedral meshes. Zbl 0946.65125
Agouzal, A.; Lipnikov, K.; Vassilevski, Yu.
6
1999
3D Helmholtz wave equation by fictitious domain method. Zbl 0925.65185
Kuznetsov, Yu. A.; Lipnikov, K. N.
4
1998
Domain decomposition with subdomain CCG for material jump elliptic problems. Zbl 0921.65077
Deuflhard, P.; Lipnikov, K.
2
1998
all top 5

Cited by 1,017 Authors

36 Beirão da Veiga, Lourenço
35 Lipnikov, Konstantin N.
30 Manzini, Gianmarco
25 Yuan, Guangwei
22 Di Pietro, Daniele Antonio
22 Droniou, Jérôme
22 Shashkov, Mikhail J.
21 Brezzi, Franco
19 Wu, Jiming
18 Antonietti, Paola Francesca
18 Russo, Alessandro
17 Sheng, Zhiqiang
16 Ern, Alexandre
16 Morgan, Nathaniel R.
16 Vassilevski, Yuri V.
12 Svyatskiy, Daniil
11 Vacca, Giuseppe
11 Verani, Marco
11 Ye, Xiu
10 Edwards, Michael G.
9 Burton, Donald E.
9 Cangiani, Andrea
9 Gao, Zhiming
9 Gyrya, Vitaliy T.
9 Marini, Luisa Donatella
8 Chen, Zhangxin
8 Mascotto, Lorenzo
8 Weißer, Steffen
7 Dassi, Franco
7 Huang, Weizhang
7 Lipnikov, Konstatin
7 Maire, Pierre-Henri
7 Mora, David
7 Moulton, J. David
7 Mu, Lin
7 Paulino, Glaucio H.
6 Bochev, Pavel B.
6 Chen, Long
6 Eymard, Robert
6 Houston, Paul
6 Le Potier, Christophe
6 Li, Ruo
6 Nikitin, Kirill D.
6 Wang, Junping
6 Wheeler, Mary Fanett
6 Yotov, Ivan
6 Zhang, Shangyou
6 Zhao, Jikun
5 Berrone, Stefano
5 Chen, Shaochun
5 Georgoulis, Emmanuil H.
5 Hu, Xiaozhe
5 Li, Jian
5 Lie, Knut-Andreas
5 Nakshatrala, K. B.
5 Pal, Mayur
5 Su, Shuai
5 Talischi, Cameron
5 Trask, Nathaniel
5 Vohralík, Martin
5 Zhang, Bei
4 Ardelyan, N. V.
4 Breil, Jérôme
4 Buffa, Annalisa
4 Cicuttin, Matteo
4 Dong, Qiannan
4 Feng, Minfu
4 Ganis, Benjamin
4 Gao, Yali
4 Gerritsma, Marc I.
4 He, Xiaoming
4 Hermeline, François
4 Huang, Jianguo
4 Idesman, Alexander V.
4 Klausen, Runhild Aae
4 Koren, Barry
4 Kosmachevskii, K. V.
4 Lovadina, Carlo
4 Marini, Luisa Donatelia
4 Nilsen, Halvor Møll
4 Perugia, Ilaria
4 Pichler, Alexander
4 Pušić, Milenko
4 Raynaud, Xavier
4 Sablin, M. N.
4 Shashkov, Mikhail V.
4 Sukumar, Natarajan
4 Tchelepi, Hamdi A.
4 Terekhov, Kirill M.
4 Vidovic, Dragan
3 Agelas, Leo
3 Agouzal, Abdellatif
3 Arrarás, Andres
3 Barlow, Andrew J.
3 Bertoluzza, Silvia
3 Bigoni, Nadia
3 Borio, Andrea
3 Botti, Lorenzo
3 Bradji, Abdallah
3 Canfield, Thomas R.
...and 917 more Authors
all top 5

Cited in 82 Serials

163 Journal of Computational Physics
50 Computer Methods in Applied Mechanics and Engineering
40 Computers & Mathematics with Applications
36 Journal of Computational and Applied Mathematics
31 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
30 Journal of Scientific Computing
27 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
26 Numerische Mathematik
24 SIAM Journal on Scientific Computing
24 Computational Geosciences
22 Computers and Fluids
18 SIAM Journal on Numerical Analysis
16 Mathematics of Computation
16 Applied Numerical Mathematics
9 International Journal for Numerical Methods in Fluids
9 International Journal for Numerical Methods in Engineering
9 Numerical Methods for Partial Differential Equations
9 Comptes Rendus. Mathématique. Académie des Sciences, Paris
8 Calcolo
6 Applied Mathematics and Computation
6 Mathematics and Computers in Simulation
6 Advances in Computational Mathematics
5 Mathematical Methods in the Applied Sciences
5 Mathematical and Computer Modelling
5 Numerical Algorithms
5 Computational Methods in Applied Mathematics
4 Moscow University Computational Mathematics and Cybernetics
4 Journal of Numerical Mathematics
4 Multiscale Modeling & Simulation
3 Computer Aided Geometric Design
3 Computational Mechanics
3 Applied Mathematics Letters
3 Science in China. Series A
3 Mathematical Problems in Engineering
3 Foundations of Computational Mathematics
3 Advances in Difference Equations
3 GEM - International Journal on Geomathematics
2 BIT
2 Applied Mathematical Modelling
2 Numerical Linear Algebra with Applications
2 Russian Journal of Numerical Analysis and Mathematical Modelling
2 Matematicheskoe Modelirovanie
2 Acta Numerica
2 International Journal of Numerical Analysis and Modeling
1 Computer Physics Communications
1 Indian Journal of Pure & Applied Mathematics
1 Journal of Mathematical Analysis and Applications
1 Journal of Mathematical Biology
1 Transport Theory and Statistical Physics
1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
1 ACM Transactions on Mathematical Software
1 Acta Mathematica Vietnamica
1 Kybernetika
1 SIAM Journal on Control and Optimization
1 Applied Mathematics and Mechanics. (English Edition)
1 Chinese Annals of Mathematics. Series B
1 COMPEL
1 Computational Mathematics and Modeling
1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
1 Linear Algebra and its Applications
1 Bulletin of the American Mathematical Society. New Series
1 Communications in Numerical Methods in Engineering
1 International Journal of Numerical Methods for Heat & Fluid Flow
1 Engineering Analysis with Boundary Elements
1 Computing and Visualization in Science
1 International Journal of Computational Fluid Dynamics
1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
1 Nonlinear Dynamics
1 Abstract and Applied Analysis
1 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki
1 Lobachevskii Journal of Mathematics
1 Archives of Computational Methods in Engineering
1 Journal of Systems Science and Complexity
1 Journal of Applied Mathematics
1 Iranian Journal of Science and Technology. Transaction A: Science
1 Journal of Computational Acoustics
1 Journal of Physics A: Mathematical and Theoretical
1 Science China. Mathematics
1 Afrika Matematika
1 ISRN Mathematical Physics
1 SMAI Journal of Computational Mathematics
1 Electronic Research Archive

Citations by Year