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Author ID: korotov.sergey Recent zbMATH articles by "Korotov, Sergey"
Published as: Korotov, Sergey; Korotov, S.; Korotov, Sergej
External Links: MGP
all top 5

Serials

11 Applications of Mathematics
10 Journal of Computational and Applied Mathematics
5 Computers & Mathematics with Applications
4 Mathematics and Computers in Simulation
4 Numerische Mathematik
3 Applied Mathematics Letters
2 IMA Journal of Numerical Analysis
2 Journal of Mathematical Analysis and Applications
2 Applied Mathematics and Computation
2 SIAM Journal on Numerical Analysis
2 International Journal of Computational Geometry & Applications
2 Linear Algebra and its Applications
2 Central European Journal of Mathematics
1 Journal of Computational Physics
1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
1 Mathematics of Computation
1 Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Mathematica
1 Computer Aided Geometric Design
1 Journal of Computational Mathematics
1 Applied Numerical Mathematics
1 Computational Mechanics
1 Numerical Methods for Partial Differential Equations
1 Applied Mathematical Modelling
1 Pokroky Matematiky, Fyziky & Astronomie
1 SIAM Review
1 ETNA. Electronic Transactions on Numerical Analysis
1 Discrete and Continuous Dynamical Systems
1 Far East Journal of Applied Mathematics
1 Sibirskiĭ Zhurnal Vychislitel’noĭ Matematiki
1 Mathematical Notes (Miskolc)
1 Journal of Numerical Mathematics
1 International Journal of Numerical Analysis and Modeling
1 Bericht. Universität Jyväskylä. Mathematisches Institut
1 JNAIAM. Journal of Numerical Analysis, Industrial and Applied Mathematics
1 Advances in Applied Mathematics and Mechanics
1 S\(\vec{\text{e}}\)MA Journal
1 Springer Monographs in Mathematics
1 Scientific Computation

Publications by Year

Citations contained in zbMATH Open

79 Publications have been cited 715 times in 359 Documents Cited by Year
Weakened acute type condition for tetrahedral triangulations and the discrete maximum principle. Zbl 1001.65125
Korotov, Sergey; Křížek, Michal; Neittaanmäki, Pekka
65
2001
Discrete maximum principles for finite element solutions of nonlinear elliptic problems with mixed boundary conditions. Zbl 1067.65127
Karátson, J.; Korotov, S.
48
2005
The discrete maximum principle for linear simplicial finite element approximations of a reaction-diffusion problem. Zbl 1154.65086
Brandts, Jan H.; Korotov, Sergey; Křížek, Michal
48
2008
On nonobtuse simplicial partitions. Zbl 1172.51012
Brandts, Jan; Korotov, Sergey; Křížek, Michal; Šolc, Jakub
47
2009
On discrete maximum principles for nonlinear elliptic problems. Zbl 1142.65093
Karátson, János; Korotov, Sergey; Křížek, Michal
33
2007
On the equivalence of regularity criteria for triangular and tetrahedral finite element partitions. Zbl 1142.65443
Brandts, Jan; Korotov, Sergey; Křížek, Michal
29
2008
Discrete maximum principles for nonlinear parabolic PDE systems. Zbl 1258.65088
Faragó, István; Karátson, János; Korotov, Sergey
23
2012
Discrete maximum principle for linear parabolic problems solved on hybrid meshes. Zbl 1070.65094
Faragó, I.; Horváth, R.; Korotov, S.
22
2005
The maximum angle condition is not necessary for convergence of the finite element method. Zbl 1255.65196
Hannukainen, Antti; Korotov, Sergey; Křížek, Michal
20
2012
Acute type refinements of tetrahedral partitions of polyhedral domains. Zbl 1069.65017
Korotov, Sergey; Křížek, Michal
19
2001
Dissection of the path-simplex in \(\mathbb {R}^n\) into \(n\) path-subsimplices. Zbl 1112.51006
Brandts, Jan; Korotov, Sergey; Křížek, Michal
17
2007
A posteriori error estimation of goal-oriented quantities by a superconvergence patch recovery. Zbl 1039.65075
Korotov, S.; Neittaanmäki, P.; Repin, S.
15
2003
Red refinements of simplices into congruent subsimplices. Zbl 1368.65249
Korotov, Sergey; Křížek, Michal
13
2014
On the equivalence of ball conditions for simplicial finite elements in \(\mathbf R^d\). Zbl 1173.52301
Brandts, Jan; Korotov, Sergey; Křížek, Michal
13
2009
A posteriori error estimation of goal-oriented quantities for elliptic type BVPs. Zbl 1089.65120
Korotov, S.
12
2006
Goal-oriented a posteriori error estimates for transport problems. Zbl 1196.65172
Kuzmin, Dmitri; Korotov, Sergey
12
2010
Two-sided a posteriori error estimates for linear elliptic problems with mixed boundary conditions. Zbl 1164.65485
Korotov, Sergey
12
2007
Nodal \({\mathcal O}(h^4)\)-superconvergence in 3D by averaging piecewise linear, bilinear, and trilinear FE approximations. Zbl 1224.65247
Hannukainen, Antti; Korotov, Sergey; Křížek, Michal
11
2010
Simplicial partitions with applications to the finite element method. Zbl 1453.65003
Brandts, Jan; Korotov, Sergey; Křížek, Michal
11
2020
Global and local refinement techniques yielding nonobtuse tetrahedral partitions. Zbl 1086.65116
Korotov, S.; Křížek, M.
11
2005
On the generalization of the Synge-Křížek maximum angle condition for \(d\)-simplices. Zbl 1426.65177
Khademi, Ali; Korotov, Sergey; Vatne, Jon Eivind
10
2019
An algebraic discrete maximum principle in Hilbert space with applications to nonlinear cooperative elliptic systems. Zbl 1211.65060
Karátson, János; Korotov, Sergey
10
2009
Discrete maximum principles for FE solutions of nonstationary diffusion-reaction problems with mixed boundary conditions. Zbl 1220.65133
Faragó, István; Horváth, Róbert; Korotov, Sergey
10
2011
Discrete maximum principle for parabolic problems solved by prismatic finite elements. Zbl 1214.65053
Vejchodský, Tomáš; Korotov, Sergey; Hannukainen, Antti
9
2010
Generalization of the Zlamal condition for simplicial finite elements in \(\mathbb {R}^{d}\). Zbl 1240.65327
Brandts, Jan; Korotov, Sergey; Křížek, Michal
9
2011
Goal-oriented error estimates based on different FE-spaces for the primal and the dual problem with applications to fracture mechanics. Zbl 1178.74172
Rüter, Marcus; Korotov, Sergey; Steenbock, Christian
9
2007
On Synge-type angle condition for \(d\)-simplices. Zbl 1424.65220
Hannukainen, Antti; Korotov, Sergey; Křížek, Michal
8
2017
On global and local mesh refinements by a generalized conforming bisection algorithm. Zbl 1207.65145
Hannukainen, Antti; Korotov, Sergey; Křížek, Michal
8
2010
On angle conditions in the finite element method. Zbl 1242.65235
Brandts, Jan H.; Hannukainen, Antti; Korotov, Sergey; Křížek, Michal
8
2011
Local nonobtuse tetrahedral refinements of a cube. Zbl 1046.65106
Korotov, S.; Křížek, M.
8
2003
Simplicial finite elements in higher dimensions. Zbl 1164.65493
Brandts, Jan; Korotov, Sergey; Křížek, Michal
8
2007
A two-scale method for the computation of solid-liquid phase transitions with dendritic microstructure. Zbl 1045.76037
Eck, Christof; Knabner, Peter; Korotov, Sergey
7
2002
Discrete maximum principle for FE solutions of the diffusion-reaction problem on prismatic meshes. Zbl 1170.65093
Hannukainen, Antti; Korotov, Sergey; Vejchodský, Tomáš
7
2009
Discrete maximum principles for FEM solutions of some nonlinear elliptic interface problems. Zbl 1163.65076
Karátson, János; Korotov, Sergey
7
2009
Nonobtuse tetrahedral partitions that refine locally towards Fichera-like corners. Zbl 1099.65105
Beilina, Larisa; Korotov, Sergey; Křížek, Michal
6
2005
Discrete maximum principles for finite element solutions of some mixed nonlinear elliptic problems using quadratures. Zbl 1137.65424
Karátson, J.; Korotov, S.
6
2006
Discrete maximum principles for the FEM solution of some nonlinear parabolic problems. Zbl 1205.65268
Faragó, István; Karátson, János; Korotov, Sergey
6
2010
On interpolation error on degenerating prismatic elements. Zbl 1488.65632
Khademi, Ali; Korotov, Sergey; Vatne, Jon Eivind
6
2018
Sharp upper global a posteriori error estimates for nonlinear elliptic variational problems. Zbl 1212.65249
Karátson, János; Korotov, Sergey
5
2009
Computational technologies for reliable control of global and local errors for linear elliptic type boundary value problems. Zbl 1161.65081
Hannukainen, A.; Korotov, S.
5
2007
Longest-edge \(n\)-section algorithms: properties and open problems. Zbl 1329.65292
Korotov, Sergey; Plaza, Ángel; Suárez, José P.
4
2016
A posteriori error analysis of a stabilized mixed FEM for convection-diffusion problems. Zbl 1335.65087
Korotov, S.; Jansson, J.; González, M.
4
2015
Global a posteriori error estimates for convection-reaction-diffusion problems. Zbl 1176.65126
Korotov, Sergey
4
2008
Nonobtuse local tetrahedral refinements towards a polygonal face/interface. Zbl 1214.65051
Korotov, Sergey; Křížek, Michal
4
2011
Finite element analysis of variational crimes for a quasilinear elliptic problem in 3D. Zbl 0948.65129
Korotov, Sergey; Křížek, Michal
4
2000
Qualitative properties of nonlinear parabolic operators. Zbl 1354.65207
Faragó, István; Horváth, Róbert; Karátson, János; Korotov, Sergey
3
2017
Discrete maximum principle for Galerkin finite element solutions to parabolic problems on rectangular meshes. Zbl 1057.65064
Faragó, István; Horváth, Róbert; Korotov, Sergey
3
2004
On the existence of strongly regular families of triangulations for domains with a piecewise smooth boundary. Zbl 1060.65665
Korotov, Sergey; Křížek, Michal; Neittaanmäki, Pekka
3
1999
The strengthened Cauchy-bunyakowski-Schwarz inequality for \(n\)-simplicial linear finite elements. Zbl 1118.65384
Brandts, Jan; Korotov, Sergey; Křížek, Michal
3
2005
Techniques for a posteriori error estimation in terms of linear functionals for elliptic type boundary value problems. Zbl 1092.65097
Hannukainen, A.; Korotov, S.
3
2005
On continuous and discrete maximum principles for elliptic problems with the third boundary condition. Zbl 1288.65154
Faragó, István; Korotov, Sergey; Szabó, Tamás
3
2013
Local nonobtuse tetrahedral refinements around an edge. Zbl 1288.65175
Korotov, Sergey; Křížek, Michal
3
2013
On weakening conditions for discrete maximum principles for linear finite element schemes. Zbl 1233.65089
Hannukainen, Antti; Korotov, Sergey; Vejchodský, Tomáš
3
2009
A newa posteriori error estimate for convection-reaction-diffusion problems. Zbl 1143.65086
Kuzmin, Dmitri; Hannukainen, Antti; Korotov, Sergey
3
2008
On regularity of tetrahedral meshes produced by some red-type refinements. Zbl 1453.65300
Korotov, Sergey; Vatne, Jon Eivind
3
2020
Proceedings of the international conference ‘Applications of mathematics’, Prague, Czech Republic, November 18–21, 2015. In honor of the birthday anniversaries of Ivo Babuška (90), Milan Práger (85), and Emil Vitásek (85). Zbl 1329.00187
2
2015
Radiation of water waves by a submerged nearly circular plate. Zbl 1381.76033
Farina, Leandro; da Gama, Rômulo L.; Korotov, Sergey; Ziebell, Juliana S.
2
2017
Conjugate gradient algorithms and finite element methods. Zbl 1059.65001
2
2004
On a discrete maximum principle for linear FE solutions of elliptic problems with a nondiagonal coefficient matrix. Zbl 1233.65092
Korotov, Sergey; Křížek, Michal; Šolc, Jakub
2
2009
Discrete nonnegativity for nonlinear cooperative parabolic PDE systems with non-monotone coupling. Zbl 07313846
Faragó, István; Karátson, János; Korotov, Sergey
2
2017
The minimum angle condition for \(d\)-simplices. Zbl 1446.65100
Korotov, Sergey; Vatne, Jon Eivind
2
2020
On modifications of continuous and discrete maximum principles for reaction-diffusion problems. Zbl 1262.35124
Farago, Istvan; Korotov, Sergey; Szabo, Tamas
2
2011
Some discrete maximum principles arising for nonlinear elliptic finite element problems. Zbl 1443.65347
Karátson, J.; Korotov, Sergey
2
2015
Maximum angle condition for \(n\)-dimensional simplicial elements. Zbl 1427.65363
Hannukainen, Antti; Korotov, Sergey; Křížek, Michal
1
2018
On the maximum angle condition for the conforming longest-edge \(n\)-section algorithm for large values of \(n\). Zbl 1417.65206
Korotov, Sergey; Plaza, Ángel; Suárez, José P.
1
2015
On conforming tetrahedralisations of prismatic partitions. Zbl 1317.65063
Korotov, Sergey; Křížek, Michal
1
2013
On continuous and discrete maximum/minimum principles for reaction-diffusion problems with the Neumann boundary condition. Zbl 1363.35061
Faragó, István; Korotov, Sergey; Szabó, Tamás
1
2015
Proceedings of the international conference ‘Applications of mathematics’, Prague, Czech Republic, May 2–5, 2012. In honor of the 60th birthday of Michal Křížek. Zbl 1277.00031
1
2012
Nonstandard nonobtuse refinements of planar triangulations. Zbl 1060.65667
Korotov, Sergey; Stańdo, Jacek
1
2004
On a bisection algorithm that produces conforming locally refined simplicial meshes. Zbl 1280.65135
Hannukainen, Antti; Korotov, Sergey; Křížek, Michal
1
2010
A comparison of simplicial and block finite elements. Zbl 1216.65030
Korotov, Sergey; Vejchodský, Tomáš
1
2010
Finite element analysis for the heat conduction equation with the third boundary condition. Zbl 0935.35058
Faragó, István; Korotov, Sergey; Neittaanmäki, Pekka
1
1998
Finite element analysis of variational crimes for a nonlinear heat conduction problem in three-dimensional space. Zbl 0968.65069
Korotov, Sergey; Křížek, Michal
1
1998
On equilibrium finite elements in three-dimensional case. Zbl 0902.65055
Korotov, S.
1
1997
On degenerating tetrahedra resulting from red refinements of tetrahedral partitions. Zbl 1498.65213
Korotov, S.; Křížek, M.
1
2021
Tight bounds for the dihedral angle sums of a pyramid. Zbl 07729496
Korotov, Sergey; Lund, Lars Fredrik; Vatne, Jon Eivind
1
2023
On equivalence of maximum angle conditions for tetrahedral finite element meshes. Zbl 1455.65222
Khademi, Ali; Korotov, Sergey; Vatne, Jon Eivind
1
2019
Discrete maximum principles for nonlinear elliptic finite element problems on surfaces with boundary. Zbl 1465.65139
Karátson, János; Kovács, Balázs; Korotov, Sergey
1
2020
Qualitative properties of nonlinear parabolic operators II: The case of PDE systems. Zbl 1516.35141
Csóka, József; Faragó, István; Horváth, Róbert; Karátson, János; Korotov, Sergey
1
2018
Tight bounds for the dihedral angle sums of a pyramid. Zbl 07729496
Korotov, Sergey; Lund, Lars Fredrik; Vatne, Jon Eivind
1
2023
On degenerating tetrahedra resulting from red refinements of tetrahedral partitions. Zbl 1498.65213
Korotov, S.; Křížek, M.
1
2021
Simplicial partitions with applications to the finite element method. Zbl 1453.65003
Brandts, Jan; Korotov, Sergey; Křížek, Michal
11
2020
On regularity of tetrahedral meshes produced by some red-type refinements. Zbl 1453.65300
Korotov, Sergey; Vatne, Jon Eivind
3
2020
The minimum angle condition for \(d\)-simplices. Zbl 1446.65100
Korotov, Sergey; Vatne, Jon Eivind
2
2020
Discrete maximum principles for nonlinear elliptic finite element problems on surfaces with boundary. Zbl 1465.65139
Karátson, János; Kovács, Balázs; Korotov, Sergey
1
2020
On the generalization of the Synge-Křížek maximum angle condition for \(d\)-simplices. Zbl 1426.65177
Khademi, Ali; Korotov, Sergey; Vatne, Jon Eivind
10
2019
On equivalence of maximum angle conditions for tetrahedral finite element meshes. Zbl 1455.65222
Khademi, Ali; Korotov, Sergey; Vatne, Jon Eivind
1
2019
On interpolation error on degenerating prismatic elements. Zbl 1488.65632
Khademi, Ali; Korotov, Sergey; Vatne, Jon Eivind
6
2018
Maximum angle condition for \(n\)-dimensional simplicial elements. Zbl 1427.65363
Hannukainen, Antti; Korotov, Sergey; Křížek, Michal
1
2018
Qualitative properties of nonlinear parabolic operators II: The case of PDE systems. Zbl 1516.35141
Csóka, József; Faragó, István; Horváth, Róbert; Karátson, János; Korotov, Sergey
1
2018
On Synge-type angle condition for \(d\)-simplices. Zbl 1424.65220
Hannukainen, Antti; Korotov, Sergey; Křížek, Michal
8
2017
Qualitative properties of nonlinear parabolic operators. Zbl 1354.65207
Faragó, István; Horváth, Róbert; Karátson, János; Korotov, Sergey
3
2017
Radiation of water waves by a submerged nearly circular plate. Zbl 1381.76033
Farina, Leandro; da Gama, Rômulo L.; Korotov, Sergey; Ziebell, Juliana S.
2
2017
Discrete nonnegativity for nonlinear cooperative parabolic PDE systems with non-monotone coupling. Zbl 07313846
Faragó, István; Karátson, János; Korotov, Sergey
2
2017
Longest-edge \(n\)-section algorithms: properties and open problems. Zbl 1329.65292
Korotov, Sergey; Plaza, Ángel; Suárez, José P.
4
2016
A posteriori error analysis of a stabilized mixed FEM for convection-diffusion problems. Zbl 1335.65087
Korotov, S.; Jansson, J.; González, M.
4
2015
Proceedings of the international conference ‘Applications of mathematics’, Prague, Czech Republic, November 18–21, 2015. In honor of the birthday anniversaries of Ivo Babuška (90), Milan Práger (85), and Emil Vitásek (85). Zbl 1329.00187
2
2015
Some discrete maximum principles arising for nonlinear elliptic finite element problems. Zbl 1443.65347
Karátson, J.; Korotov, Sergey
2
2015
On the maximum angle condition for the conforming longest-edge \(n\)-section algorithm for large values of \(n\). Zbl 1417.65206
Korotov, Sergey; Plaza, Ángel; Suárez, José P.
1
2015
On continuous and discrete maximum/minimum principles for reaction-diffusion problems with the Neumann boundary condition. Zbl 1363.35061
Faragó, István; Korotov, Sergey; Szabó, Tamás
1
2015
Red refinements of simplices into congruent subsimplices. Zbl 1368.65249
Korotov, Sergey; Křížek, Michal
13
2014
On continuous and discrete maximum principles for elliptic problems with the third boundary condition. Zbl 1288.65154
Faragó, István; Korotov, Sergey; Szabó, Tamás
3
2013
Local nonobtuse tetrahedral refinements around an edge. Zbl 1288.65175
Korotov, Sergey; Křížek, Michal
3
2013
On conforming tetrahedralisations of prismatic partitions. Zbl 1317.65063
Korotov, Sergey; Křížek, Michal
1
2013
Discrete maximum principles for nonlinear parabolic PDE systems. Zbl 1258.65088
Faragó, István; Karátson, János; Korotov, Sergey
23
2012
The maximum angle condition is not necessary for convergence of the finite element method. Zbl 1255.65196
Hannukainen, Antti; Korotov, Sergey; Křížek, Michal
20
2012
Proceedings of the international conference ‘Applications of mathematics’, Prague, Czech Republic, May 2–5, 2012. In honor of the 60th birthday of Michal Křížek. Zbl 1277.00031
1
2012
Discrete maximum principles for FE solutions of nonstationary diffusion-reaction problems with mixed boundary conditions. Zbl 1220.65133
Faragó, István; Horváth, Róbert; Korotov, Sergey
10
2011
Generalization of the Zlamal condition for simplicial finite elements in \(\mathbb {R}^{d}\). Zbl 1240.65327
Brandts, Jan; Korotov, Sergey; Křížek, Michal
9
2011
On angle conditions in the finite element method. Zbl 1242.65235
Brandts, Jan H.; Hannukainen, Antti; Korotov, Sergey; Křížek, Michal
8
2011
Nonobtuse local tetrahedral refinements towards a polygonal face/interface. Zbl 1214.65051
Korotov, Sergey; Křížek, Michal
4
2011
On modifications of continuous and discrete maximum principles for reaction-diffusion problems. Zbl 1262.35124
Farago, Istvan; Korotov, Sergey; Szabo, Tamas
2
2011
Goal-oriented a posteriori error estimates for transport problems. Zbl 1196.65172
Kuzmin, Dmitri; Korotov, Sergey
12
2010
Nodal \({\mathcal O}(h^4)\)-superconvergence in 3D by averaging piecewise linear, bilinear, and trilinear FE approximations. Zbl 1224.65247
Hannukainen, Antti; Korotov, Sergey; Křížek, Michal
11
2010
Discrete maximum principle for parabolic problems solved by prismatic finite elements. Zbl 1214.65053
Vejchodský, Tomáš; Korotov, Sergey; Hannukainen, Antti
9
2010
On global and local mesh refinements by a generalized conforming bisection algorithm. Zbl 1207.65145
Hannukainen, Antti; Korotov, Sergey; Křížek, Michal
8
2010
Discrete maximum principles for the FEM solution of some nonlinear parabolic problems. Zbl 1205.65268
Faragó, István; Karátson, János; Korotov, Sergey
6
2010
On a bisection algorithm that produces conforming locally refined simplicial meshes. Zbl 1280.65135
Hannukainen, Antti; Korotov, Sergey; Křížek, Michal
1
2010
A comparison of simplicial and block finite elements. Zbl 1216.65030
Korotov, Sergey; Vejchodský, Tomáš
1
2010
On nonobtuse simplicial partitions. Zbl 1172.51012
Brandts, Jan; Korotov, Sergey; Křížek, Michal; Šolc, Jakub
47
2009
On the equivalence of ball conditions for simplicial finite elements in \(\mathbf R^d\). Zbl 1173.52301
Brandts, Jan; Korotov, Sergey; Křížek, Michal
13
2009
An algebraic discrete maximum principle in Hilbert space with applications to nonlinear cooperative elliptic systems. Zbl 1211.65060
Karátson, János; Korotov, Sergey
10
2009
Discrete maximum principle for FE solutions of the diffusion-reaction problem on prismatic meshes. Zbl 1170.65093
Hannukainen, Antti; Korotov, Sergey; Vejchodský, Tomáš
7
2009
Discrete maximum principles for FEM solutions of some nonlinear elliptic interface problems. Zbl 1163.65076
Karátson, János; Korotov, Sergey
7
2009
Sharp upper global a posteriori error estimates for nonlinear elliptic variational problems. Zbl 1212.65249
Karátson, János; Korotov, Sergey
5
2009
On weakening conditions for discrete maximum principles for linear finite element schemes. Zbl 1233.65089
Hannukainen, Antti; Korotov, Sergey; Vejchodský, Tomáš
3
2009
On a discrete maximum principle for linear FE solutions of elliptic problems with a nondiagonal coefficient matrix. Zbl 1233.65092
Korotov, Sergey; Křížek, Michal; Šolc, Jakub
2
2009
The discrete maximum principle for linear simplicial finite element approximations of a reaction-diffusion problem. Zbl 1154.65086
Brandts, Jan H.; Korotov, Sergey; Křížek, Michal
48
2008
On the equivalence of regularity criteria for triangular and tetrahedral finite element partitions. Zbl 1142.65443
Brandts, Jan; Korotov, Sergey; Křížek, Michal
29
2008
Global a posteriori error estimates for convection-reaction-diffusion problems. Zbl 1176.65126
Korotov, Sergey
4
2008
A newa posteriori error estimate for convection-reaction-diffusion problems. Zbl 1143.65086
Kuzmin, Dmitri; Hannukainen, Antti; Korotov, Sergey
3
2008
On discrete maximum principles for nonlinear elliptic problems. Zbl 1142.65093
Karátson, János; Korotov, Sergey; Křížek, Michal
33
2007
Dissection of the path-simplex in \(\mathbb {R}^n\) into \(n\) path-subsimplices. Zbl 1112.51006
Brandts, Jan; Korotov, Sergey; Křížek, Michal
17
2007
Two-sided a posteriori error estimates for linear elliptic problems with mixed boundary conditions. Zbl 1164.65485
Korotov, Sergey
12
2007
Goal-oriented error estimates based on different FE-spaces for the primal and the dual problem with applications to fracture mechanics. Zbl 1178.74172
Rüter, Marcus; Korotov, Sergey; Steenbock, Christian
9
2007
Simplicial finite elements in higher dimensions. Zbl 1164.65493
Brandts, Jan; Korotov, Sergey; Křížek, Michal
8
2007
Computational technologies for reliable control of global and local errors for linear elliptic type boundary value problems. Zbl 1161.65081
Hannukainen, A.; Korotov, S.
5
2007
A posteriori error estimation of goal-oriented quantities for elliptic type BVPs. Zbl 1089.65120
Korotov, S.
12
2006
Discrete maximum principles for finite element solutions of some mixed nonlinear elliptic problems using quadratures. Zbl 1137.65424
Karátson, J.; Korotov, S.
6
2006
Discrete maximum principles for finite element solutions of nonlinear elliptic problems with mixed boundary conditions. Zbl 1067.65127
Karátson, J.; Korotov, S.
48
2005
Discrete maximum principle for linear parabolic problems solved on hybrid meshes. Zbl 1070.65094
Faragó, I.; Horváth, R.; Korotov, S.
22
2005
Global and local refinement techniques yielding nonobtuse tetrahedral partitions. Zbl 1086.65116
Korotov, S.; Křížek, M.
11
2005
Nonobtuse tetrahedral partitions that refine locally towards Fichera-like corners. Zbl 1099.65105
Beilina, Larisa; Korotov, Sergey; Křížek, Michal
6
2005
The strengthened Cauchy-bunyakowski-Schwarz inequality for \(n\)-simplicial linear finite elements. Zbl 1118.65384
Brandts, Jan; Korotov, Sergey; Křížek, Michal
3
2005
Techniques for a posteriori error estimation in terms of linear functionals for elliptic type boundary value problems. Zbl 1092.65097
Hannukainen, A.; Korotov, S.
3
2005
Discrete maximum principle for Galerkin finite element solutions to parabolic problems on rectangular meshes. Zbl 1057.65064
Faragó, István; Horváth, Róbert; Korotov, Sergey
3
2004
Conjugate gradient algorithms and finite element methods. Zbl 1059.65001
2
2004
Nonstandard nonobtuse refinements of planar triangulations. Zbl 1060.65667
Korotov, Sergey; Stańdo, Jacek
1
2004
A posteriori error estimation of goal-oriented quantities by a superconvergence patch recovery. Zbl 1039.65075
Korotov, S.; Neittaanmäki, P.; Repin, S.
15
2003
Local nonobtuse tetrahedral refinements of a cube. Zbl 1046.65106
Korotov, S.; Křížek, M.
8
2003
A two-scale method for the computation of solid-liquid phase transitions with dendritic microstructure. Zbl 1045.76037
Eck, Christof; Knabner, Peter; Korotov, Sergey
7
2002
Weakened acute type condition for tetrahedral triangulations and the discrete maximum principle. Zbl 1001.65125
Korotov, Sergey; Křížek, Michal; Neittaanmäki, Pekka
65
2001
Acute type refinements of tetrahedral partitions of polyhedral domains. Zbl 1069.65017
Korotov, Sergey; Křížek, Michal
19
2001
Finite element analysis of variational crimes for a quasilinear elliptic problem in 3D. Zbl 0948.65129
Korotov, Sergey; Křížek, Michal
4
2000
On the existence of strongly regular families of triangulations for domains with a piecewise smooth boundary. Zbl 1060.65665
Korotov, Sergey; Křížek, Michal; Neittaanmäki, Pekka
3
1999
Finite element analysis for the heat conduction equation with the third boundary condition. Zbl 0935.35058
Faragó, István; Korotov, Sergey; Neittaanmäki, Pekka
1
1998
Finite element analysis of variational crimes for a nonlinear heat conduction problem in three-dimensional space. Zbl 0968.65069
Korotov, Sergey; Křížek, Michal
1
1998
On equilibrium finite elements in three-dimensional case. Zbl 0902.65055
Korotov, S.
1
1997
all top 5

Cited by 494 Authors

52 Korotov, Sergey
24 Křížek, Michal
14 Karátson, János
11 Vejchodský, Tomáš
10 Brandts, Jan H.
10 Vatne, Jon Eivind
9 Faragó, István
9 Horváth, Robert A.
7 Hannukainen, Antti
7 Kuzmin, Dmitri
7 Plaza, Ángel
7 Walker, Shawn W.
7 Yuan, Guangwei
6 Boulbrachene, Messaoud
6 Kobayashi, Kenta
6 Svyatsky, Daniil
6 Todorov, Todor Dimitrov
6 Tsuchiya, Takuya
5 Baĭdakova, Natalia Vasil’evna
5 Huang, Weizhang
5 Liu, Jinghong
5 Petrov, Miroslav S.
5 Šolín, Pavel
5 Wick, Thomas
5 Zhu, Qiding
4 Burman, Erik
4 Hošek, Radim
4 Ishizaka, Hiroki
4 Khademi, Ali
4 Koleva, Miglena Nikolaeva
4 Li, Xianping
4 Lipnikov, Konstantin N.
4 Matus, Pëtr Paŭlavich
4 Pollock, Sara
4 Rüter, Marcus Olavi
4 Segeth, Karel
4 Sheng, Zhiqiang
4 Vassilevski, Yuri V.
4 Zhu, Yunrong
3 Adewole, Matthew Olayiwola
3 Auricchio, Ferdinando
3 Cihangir, Apo
3 Ern, Alexandre
3 Feng, Xinlong
3 Gaspar, Francisco José
3 Harbi, Abida
3 He, Wenming
3 Hieu, Le Minh
3 Houston, Paul
3 Lefieux, Adrien
3 Lötstedt, Per
3 Manzini, Gianmarco
3 Micheletti, Stefano
3 Mincsovics, Miklós Emil
3 Muntean, Adrian
3 Nochetto, Ricardo Horacio
3 Padrón, Miguel A.
3 Perotto, Simona
3 Stein, Erwin
3 Suárez, José Pablo
3 Vabishchevich, Pëtr Nikolaevich
3 Vulkov, Lubin G.
3 Zhang, Wujun
2 Abdulle, Assyr
2 Al Farei, Qais
2 Artina, Marco
2 Barrenechea, Gabriel R.
2 Bertoluzza, Silvia
2 Biasotti, Silvia
2 Bishop, Christopher James
2 Blanc, Xavier
2 Cabiddu, Daniela
2 Calo, Victor Manuel
2 Cascón, José Manuel
2 Chen, Zhangxin
2 Congreve, Scott
2 Cui, Junzhi
2 Das, Arijit
2 De, Soumen
2 Du, Qiang
2 Duan, Huoyuan
2 Eden, Michael
2 Endtmayer, Bernhard
2 Engblom, Stefan
2 Fornasier, Massimo
2 Fredrik Lund, Lars
2 Guoy, Damrong
2 Gyulov, Tihomir B.
2 He, Ruijian
2 Hellander, Andreas
2 Hermeline, François
2 Hirani, Anil N.
2 Horváth, Tamás L.
2 Huang, Qiumei
2 Jiang, Kun
2 John, Volker
2 Ju, Lili
2 Kreuzer, Christian
2 Kučera, Václav
2 Labourasse, Emmanuel
...and 394 more Authors
all top 5

Cited in 93 Serials

33 Journal of Computational and Applied Mathematics
22 Journal of Computational Physics
20 Computers & Mathematics with Applications
18 Computer Methods in Applied Mechanics and Engineering
15 Numerische Mathematik
14 Applications of Mathematics
12 Applied Mathematics and Computation
11 Mathematics of Computation
11 Mathematics and Computers in Simulation
11 Applied Numerical Mathematics
10 Numerical Methods for Partial Differential Equations
9 Journal of Scientific Computing
8 SIAM Journal on Scientific Computing
6 Applied Mathematical Modelling
6 Computational Methods in Applied Mathematics
5 Journal of Mathematical Analysis and Applications
5 Central European Journal of Mathematics
5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
4 Mathematical Methods in the Applied Sciences
4 International Journal for Numerical Methods in Engineering
4 Discrete & Computational Geometry
4 Computational Mechanics
4 Applied Mathematics Letters
4 Japan Journal of Industrial and Applied Mathematics
3 International Journal of Computational Geometry & Applications
3 Computational Geometry
3 Numerical Algorithms
3 Linear Algebra and its Applications
3 SIAM Review
3 Computational and Applied Mathematics
3 Proceedings of the Steklov Institute of Mathematics
3 Communications in Computational Physics
2 Advances in Mathematics
2 Calcolo
2 SIAM Journal on Numerical Analysis
2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
2 International Journal of Computer Mathematics
2 Computational Optimization and Applications
2 Journal of Inequalities and Applications
2 Advances in Applied Mathematics and Mechanics
1 Classical and Quantum Gravity
1 International Journal for Numerical Methods in Fluids
1 Indian Journal of Pure & Applied Mathematics
1 Israel Journal of Mathematics
1 Mathematical Notes
1 The Mathematical Intelligencer
1 BIT
1 Journal of Differential Equations
1 Journal of Geometry
1 Numerical Functional Analysis and Optimization
1 Studies in Applied Mathematics
1 European Journal of Combinatorics
1 Combinatorica
1 Computer Aided Geometric Design
1 Journal of Computational Mathematics
1 Journal of the Nigerian Mathematical Society
1 Acta Mathematicae Applicatae Sinica. English Series
1 Constructive Approximation
1 Computational Mathematics and Modeling
1 Journal of Global Optimization
1 Computational Mathematics and Mathematical Physics
1 Computational Statistics and Data Analysis
1 Archive of Applied Mechanics
1 Applied Mathematics. Series B (English Edition)
1 Numerical Linear Algebra with Applications
1 Turkish Journal of Mathematics
1 Russian Journal of Numerical Analysis and Mathematical Modelling
1 Advances in Computational Mathematics
1 Journal of Mathematical Chemistry
1 Computing and Visualization in Science
1 Abstract and Applied Analysis
1 Sibirskiĭ Zhurnal Vychislitel’noĭ Matematiki
1 Matematicheskie Trudy
1 Acta Mathematica Sinica. English Series
1 Communications in Nonlinear Science and Numerical Simulation
1 Engineering Computations
1 Differential Equations
1 Mathematical Modelling and Analysis
1 Foundations of Computational Mathematics
1 Journal of Applied Mathematics
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Mediterranean Journal of Mathematics
1 International Journal of Numerical Analysis and Modeling
1 Boundary Value Problems
1 Networks and Heterogeneous Media
1 Inverse Problems and Imaging
1 Journal of Topology
1 International Journal of Advances in Engineering Sciences and Applied Mathematics
1 S\(\vec{\text{e}}\)MA Journal
1 ISRN Applied Mathematics
1 Journal of Mathematics
1 AIMS Mathematics
1 International Journal on Finite Volumes

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