## Korotov, Sergey

Compute Distance To:
 Author ID: korotov.sergey Published as: Korotov, Sergey; Korotov, S.; Korotov, Sergej more...less External Links: MGP
 Documents Indexed: 97 Publications since 1997, including 2 Books 6 Contributions as Editor Co-Authors: 37 Co-Authors with 96 Joint Publications 927 Co-Co-Authors
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### Co-Authors

 6 single-authored 42 Křížek, Michal 15 Karátson, János 14 Brandts, Jan H. 14 Faragó, István 14 Hannukainen, Antti 9 Neittaanmäki, Pekka J. 8 Vatne, Jon Eivind 7 Vejchodský, Tomáš 5 Horváth, Robert A. 4 Khademi, Ali 4 Plaza, Ángel 4 Suárez, José Pablo 3 Šístek, Jakub 3 Szabó, Tamás T. 2 Farina, Leandro 2 Kuzmin, Dmitri 2 Margenov, Svetozar D. 2 Repin, Sergeĭ Igorevich 2 Segeth, Karel 2 Šolc, Jakub 2 Stańdo, Jacek 2 Ziebell, Juliana S. 1 Abad, Pilar 1 Beilina, Larisa 1 Chleboun, Jan 1 Csóka, József 1 da Gama, Rômulo L. 1 Eck, Christof 1 Fredrik Lund, Lars 1 Glowinski, Roland 1 Knabner, Peter 1 Kovács, Balázs 1 Kučera, Václav 1 Martikainen, Janne 1 Moreno, Tania 1 Rüter, Marcus Olavi 1 Steenbock, Christian
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### Serials

 10 Applications of Mathematics 9 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 Linear Algebra and its Applications 2 Central European Journal of Mathematics 1 Journal of Computational Physics 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 International Journal of Computational Geometry & Applications 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
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### Fields

 95 Numerical analysis (65-XX) 44 Partial differential equations (35-XX) 8 Geometry (51-XX) 5 General and overarching topics; collections (00-XX) 5 Mechanics of deformable solids (74-XX) 4 Approximations and expansions (41-XX) 4 Convex and discrete geometry (52-XX) 4 Fluid mechanics (76-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Geophysics (86-XX)

### Citations contained in zbMATH Open

71 Publications have been cited 632 times in 313 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
2001
Discrete maximum principles for finite element solutions of nonlinear elliptic problems with mixed boundary conditions. Zbl 1067.65127
Karátson, J.; Korotov, S.
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
2008
On nonobtuse simplicial partitions. Zbl 1172.51012
Brandts, Jan; Korotov, Sergey; Křížek, Michal; Šolc, Jakub
2009
On discrete maximum principles for nonlinear elliptic problems. Zbl 1142.65093
Karátson, János; Korotov, Sergey; Křížek, Michal
2007
On the equivalence of regularity criteria for triangular and tetrahedral finite element partitions. Zbl 1142.65443
Brandts, Jan; Korotov, Sergey; Křížek, Michal
2008
Discrete maximum principle for linear parabolic problems solved on hybrid meshes. Zbl 1070.65094
Faragó, I.; Horváth, R.; Korotov, S.
2005
Acute type refinements of tetrahedral partitions of polyhedral domains. Zbl 1069.65017
Korotov, Sergey; Křížek, Michal
2001
The maximum angle condition is not necessary for convergence of the finite element method. Zbl 1255.65196
Hannukainen, Antti; Korotov, Sergey; Křížek, Michal
2012
Dissection of the path-simplex in $$\mathbb {R}^n$$ into $$n$$ path-subsimplices. Zbl 1112.51006
Brandts, Jan; Korotov, Sergey; Křížek, Michal
2007
A posteriori error estimation of goal-oriented quantities by a superconvergence patch recovery. Zbl 1039.65075
Korotov, S.; Neittaanmäki, P.; Repin, S.
2003
Discrete maximum principles for nonlinear parabolic PDE systems. Zbl 1258.65088
Faragó, István; Karátson, János; Korotov, Sergey
2012
Red refinements of simplices into congruent subsimplices. Zbl 1368.65249
Korotov, Sergey; Křížek, Michal
2014
On the equivalence of ball conditions for simplicial finite elements in $$\mathbf R^d$$. Zbl 1173.52301
Brandts, Jan; Korotov, Sergey; Křížek, Michal
2009
Goal-oriented a posteriori error estimates for transport problems. Zbl 1196.65172
Kuzmin, Dmitri; Korotov, Sergey
2010
Two-sided a posteriori error estimates for linear elliptic problems with mixed boundary conditions. Zbl 1164.65485
Korotov, Sergey
2007
A posteriori error estimation of goal-oriented quantities for elliptic type BVPs. Zbl 1089.65120
Korotov, S.
2006
Global and local refinement techniques yielding nonobtuse tetrahedral partitions. Zbl 1086.65116
Korotov, S.; Křížek, M.
2005
Discrete maximum principles for FE solutions of nonstationary diffusion-reaction problems with mixed boundary conditions. Zbl 1220.65133
Faragó, István; Horváth, Róbert; Korotov, Sergey
2011
Discrete maximum principle for parabolic problems solved by prismatic finite elements. Zbl 1214.65053
Vejchodský, Tomáš; Korotov, Sergey; Hannukainen, Antti
2010
Generalization of the Zlamal condition for simplicial finite elements in $$\mathbb {R}^{d}$$. Zbl 1240.65327
Brandts, Jan; Korotov, Sergey; Křížek, Michal
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
2007
An algebraic discrete maximum principle in Hilbert space with applications to nonlinear cooperative elliptic systems. Zbl 1211.65060
Karátson, János; Korotov, Sergey
2009
On angle conditions in the finite element method. Zbl 1242.65235
Brandts, Jan H.; Hannukainen, Antti; Korotov, Sergey; Křížek, Michal
2011
On the generalization of the Synge-Křížek maximum angle condition for $$d$$-simplices. Zbl 1426.65177
Khademi, Ali; Korotov, Sergey; Vatne, Jon Eivind
2019
Simplicial finite elements in higher dimensions. Zbl 1164.65493
Brandts, Jan; Korotov, Sergey; Křížek, Michal
2007
Local nonobtuse tetrahedral refinements of a cube. Zbl 1046.65106
Korotov, S.; Křížek, M.
2003
On global and local mesh refinements by a generalized conforming bisection algorithm. Zbl 1207.65145
Hannukainen, Antti; Korotov, Sergey; Křížek, Michal
2010
Discrete maximum principle for FE solutions of the diffusion-reaction problem on prismatic meshes. Zbl 1170.65093
Hannukainen, Antti; Korotov, Sergey; Vejchodský, Tomáš
2009
Discrete maximum principles for FEM solutions of some nonlinear elliptic interface problems. Zbl 1163.65076
Karátson, János; Korotov, Sergey
2009
On Synge-type angle condition for $$d$$-simplices. Zbl 1424.65220
Hannukainen, Antti; Korotov, Sergey; Křížek, Michal
2017
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
2010
A two-scale method for the computation of solid-liquid phase transitions with dendritic microstructure. Zbl 1045.76037
Eck, Christof; Knabner, Peter; Korotov, Sergey
2002
Discrete maximum principles for finite element solutions of some mixed nonlinear elliptic problems using quadratures. Zbl 1137.65424
Karátson, J.; Korotov, S.
2006
On interpolation error on degenerating prismatic elements. Zbl 1488.65632
Khademi, Ali; Korotov, Sergey; Vatne, Jon Eivind
2018
Simplicial partitions with applications to the finite element method. Zbl 1453.65003
Brandts, Jan; Korotov, Sergey; Křížek, Michal
2020
Nonobtuse tetrahedral partitions that refine locally towards Fichera-like corners. Zbl 1099.65105
Beilina, Larisa; Korotov, Sergey; Křížek, Michal
2005
Computational technologies for reliable control of global and local errors for linear elliptic type boundary value problems. Zbl 1161.65081
Hannukainen, A.; Korotov, S.
2007
Nonobtuse local tetrahedral refinements towards a polygonal face/interface. Zbl 1214.65051
Korotov, Sergey; Křížek, Michal
2011
Longest-edge $$n$$-section algorithms: properties and open problems. Zbl 1329.65292
Korotov, Sergey; Plaza, Ángel; Suárez, José P.
2016
Finite element analysis of variational crimes for a quasilinear elliptic problem in 3D. Zbl 0948.65129
Korotov, Sergey; Křížek, Michal
2000
Sharp upper global a posteriori error estimates for nonlinear elliptic variational problems. Zbl 1212.65249
Karátson, János; Korotov, Sergey
2009
Discrete maximum principles for the FEM solution of some nonlinear parabolic problems. Zbl 1205.65268
Faragó, István; Karátson, János; Korotov, Sergey
2010
Global a posteriori error estimates for convection-reaction-diffusion problems. Zbl 1176.65126
Korotov, Sergey
2008
A posteriori error analysis of a stabilized mixed FEM for convection-diffusion problems. Zbl 1335.65087
Korotov, S.; Jansson, J.; González, M.
2015
Qualitative properties of nonlinear parabolic operators. Zbl 1354.65207
Faragó, István; Horváth, Róbert; Karátson, János; Korotov, Sergey
2017
On continuous and discrete maximum principles for elliptic problems with the third boundary condition. Zbl 1288.65154
Faragó, István; Korotov, Sergey; Szabó, Tamás
2013
Local nonobtuse tetrahedral refinements around an edge. Zbl 1288.65175
Korotov, Sergey; Křížek, Michal
2013
On regularity of tetrahedral meshes produced by some red-type refinements. Zbl 1453.65300
Korotov, Sergey; Vatne, Jon Eivind
2020
Discrete maximum principle for Galerkin finite element solutions to parabolic problems on rectangular meshes. Zbl 1057.65064
Faragó, István; Horváth, Róbert; Korotov, Sergey
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
1999
The strengthened Cauchy-bunyakowski-Schwarz inequality for $$n$$-simplicial linear finite elements. Zbl 1118.65384
Brandts, Jan; Korotov, Sergey; Křížek, Michal
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.
2005
A newa posteriori error estimate for convection-reaction-diffusion problems. Zbl 1143.65086
Kuzmin, Dmitri; Hannukainen, Antti; Korotov, Sergey
2008
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
2012
Some discrete maximum principles arising for nonlinear elliptic finite element problems. Zbl 1443.65347
Karátson, J.; Korotov, Sergey
2015
On modifications of continuous and discrete maximum principles for reaction-diffusion problems. Zbl 1262.35124
Farago, Istvan; Korotov, Sergey; Szabo, Tamas
2011
On weakening conditions for discrete maximum principles for linear finite element schemes. Zbl 1233.65089
Hannukainen, Antti; Korotov, Sergey; Vejchodský, Tomáš
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
2009
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
2015
Discrete nonnegativity for nonlinear cooperative parabolic PDE systems with non-monotone coupling. Zbl 07313846
Faragó, István; Karátson, János; Korotov, Sergey
2017
Finite element analysis for the heat conduction equation with the third boundary condition. Zbl 0935.35058
Faragó, István; Korotov, Sergey; Neittaanmäki, Pekka
1998
Finite element analysis of variational crimes for a nonlinear heat conduction problem in three-dimensional space. Zbl 0968.65069
Korotov, Sergey; Křížek, Michal
1998
Conjugate gradient algorithms and finite element methods. Zbl 1059.65001
2004
The minimum angle condition for $$d$$-simplices. Zbl 1446.65100
Korotov, Sergey; Vatne, Jon Eivind
2020
On a bisection algorithm that produces conforming locally refined simplicial meshes. Zbl 1280.65135
Hannukainen, Antti; Korotov, Sergey; Křížek, Michal
2010
On conforming tetrahedralisations of prismatic partitions. Zbl 1317.65063
Korotov, Sergey; Křížek, Michal
2013
Discrete maximum principles for nonlinear elliptic finite element problems on surfaces with boundary. Zbl 1465.65139
Karátson, János; Kovács, Balázs; Korotov, Sergey
2020
Maximum angle condition for $$n$$-dimensional simplicial elements. Zbl 1427.65363
Hannukainen, Antti; Korotov, Sergey; Křížek, Michal
2018
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
2015
Qualitative properties of nonlinear parabolic operators II: the case of PDE systems. Zbl 06937840
Csóka, József; Faragó, István; Horváth, Róbert; Karátson, János; Korotov, Sergey
2018
Simplicial partitions with applications to the finite element method. Zbl 1453.65003
Brandts, Jan; Korotov, Sergey; Křížek, Michal
2020
On regularity of tetrahedral meshes produced by some red-type refinements. Zbl 1453.65300
Korotov, Sergey; Vatne, Jon Eivind
2020
The minimum angle condition for $$d$$-simplices. Zbl 1446.65100
Korotov, Sergey; Vatne, Jon Eivind
2020
Discrete maximum principles for nonlinear elliptic finite element problems on surfaces with boundary. Zbl 1465.65139
Karátson, János; Kovács, Balázs; Korotov, Sergey
2020
On the generalization of the Synge-Křížek maximum angle condition for $$d$$-simplices. Zbl 1426.65177
Khademi, Ali; Korotov, Sergey; Vatne, Jon Eivind
2019
On interpolation error on degenerating prismatic elements. Zbl 1488.65632
Khademi, Ali; Korotov, Sergey; Vatne, Jon Eivind
2018
Maximum angle condition for $$n$$-dimensional simplicial elements. Zbl 1427.65363
Hannukainen, Antti; Korotov, Sergey; Křížek, Michal
2018
Qualitative properties of nonlinear parabolic operators II: the case of PDE systems. Zbl 06937840
Csóka, József; Faragó, István; Horváth, Róbert; Karátson, János; Korotov, Sergey
2018
On Synge-type angle condition for $$d$$-simplices. Zbl 1424.65220
Hannukainen, Antti; Korotov, Sergey; Křížek, Michal
2017
Qualitative properties of nonlinear parabolic operators. Zbl 1354.65207
Faragó, István; Horváth, Róbert; Karátson, János; Korotov, Sergey
2017
Discrete nonnegativity for nonlinear cooperative parabolic PDE systems with non-monotone coupling. Zbl 07313846
Faragó, István; Karátson, János; Korotov, Sergey
2017
Longest-edge $$n$$-section algorithms: properties and open problems. Zbl 1329.65292
Korotov, Sergey; Plaza, Ángel; Suárez, José P.
2016
A posteriori error analysis of a stabilized mixed FEM for convection-diffusion problems. Zbl 1335.65087
Korotov, S.; Jansson, J.; González, M.
2015
Some discrete maximum principles arising for nonlinear elliptic finite element problems. Zbl 1443.65347
Karátson, J.; Korotov, Sergey
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
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
2015
Red refinements of simplices into congruent subsimplices. Zbl 1368.65249
Korotov, Sergey; Křížek, Michal
2014
On continuous and discrete maximum principles for elliptic problems with the third boundary condition. Zbl 1288.65154
Faragó, István; Korotov, Sergey; Szabó, Tamás
2013
Local nonobtuse tetrahedral refinements around an edge. Zbl 1288.65175
Korotov, Sergey; Křížek, Michal
2013
On conforming tetrahedralisations of prismatic partitions. Zbl 1317.65063
Korotov, Sergey; Křížek, Michal
2013
The maximum angle condition is not necessary for convergence of the finite element method. Zbl 1255.65196
Hannukainen, Antti; Korotov, Sergey; Křížek, Michal
2012
Discrete maximum principles for nonlinear parabolic PDE systems. Zbl 1258.65088
Faragó, István; Karátson, János; Korotov, Sergey
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
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
2011
Generalization of the Zlamal condition for simplicial finite elements in $$\mathbb {R}^{d}$$. Zbl 1240.65327
Brandts, Jan; Korotov, Sergey; Křížek, Michal
2011
On angle conditions in the finite element method. Zbl 1242.65235
Brandts, Jan H.; Hannukainen, Antti; Korotov, Sergey; Křížek, Michal
2011
Nonobtuse local tetrahedral refinements towards a polygonal face/interface. Zbl 1214.65051
Korotov, Sergey; Křížek, Michal
2011
On modifications of continuous and discrete maximum principles for reaction-diffusion problems. Zbl 1262.35124
Farago, Istvan; Korotov, Sergey; Szabo, Tamas
2011
Goal-oriented a posteriori error estimates for transport problems. Zbl 1196.65172
Kuzmin, Dmitri; Korotov, Sergey
2010
Discrete maximum principle for parabolic problems solved by prismatic finite elements. Zbl 1214.65053
Vejchodský, Tomáš; Korotov, Sergey; Hannukainen, Antti
2010
On global and local mesh refinements by a generalized conforming bisection algorithm. Zbl 1207.65145
Hannukainen, Antti; Korotov, Sergey; Křížek, Michal
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
2010
Discrete maximum principles for the FEM solution of some nonlinear parabolic problems. Zbl 1205.65268
Faragó, István; Karátson, János; Korotov, Sergey
2010
On a bisection algorithm that produces conforming locally refined simplicial meshes. Zbl 1280.65135
Hannukainen, Antti; Korotov, Sergey; Křížek, Michal
2010
On nonobtuse simplicial partitions. Zbl 1172.51012
Brandts, Jan; Korotov, Sergey; Křížek, Michal; Šolc, Jakub
2009
On the equivalence of ball conditions for simplicial finite elements in $$\mathbf R^d$$. Zbl 1173.52301
Brandts, Jan; Korotov, Sergey; Křížek, Michal
2009
An algebraic discrete maximum principle in Hilbert space with applications to nonlinear cooperative elliptic systems. Zbl 1211.65060
Karátson, János; Korotov, Sergey
2009
Discrete maximum principle for FE solutions of the diffusion-reaction problem on prismatic meshes. Zbl 1170.65093
Hannukainen, Antti; Korotov, Sergey; Vejchodský, Tomáš
2009
Discrete maximum principles for FEM solutions of some nonlinear elliptic interface problems. Zbl 1163.65076
Karátson, János; Korotov, Sergey
2009
Sharp upper global a posteriori error estimates for nonlinear elliptic variational problems. Zbl 1212.65249
Karátson, János; Korotov, Sergey
2009
On weakening conditions for discrete maximum principles for linear finite element schemes. Zbl 1233.65089
Hannukainen, Antti; Korotov, Sergey; Vejchodský, Tomáš
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
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
2008
On the equivalence of regularity criteria for triangular and tetrahedral finite element partitions. Zbl 1142.65443
Brandts, Jan; Korotov, Sergey; Křížek, Michal
2008
Global a posteriori error estimates for convection-reaction-diffusion problems. Zbl 1176.65126
Korotov, Sergey
2008
A newa posteriori error estimate for convection-reaction-diffusion problems. Zbl 1143.65086
Kuzmin, Dmitri; Hannukainen, Antti; Korotov, Sergey
2008
On discrete maximum principles for nonlinear elliptic problems. Zbl 1142.65093
Karátson, János; Korotov, Sergey; Křížek, Michal
2007
Dissection of the path-simplex in $$\mathbb {R}^n$$ into $$n$$ path-subsimplices. Zbl 1112.51006
Brandts, Jan; Korotov, Sergey; Křížek, Michal
2007
Two-sided a posteriori error estimates for linear elliptic problems with mixed boundary conditions. Zbl 1164.65485
Korotov, Sergey
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
2007
Simplicial finite elements in higher dimensions. Zbl 1164.65493
Brandts, Jan; Korotov, Sergey; Křížek, Michal
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.
2007
A posteriori error estimation of goal-oriented quantities for elliptic type BVPs. Zbl 1089.65120
Korotov, S.
2006
Discrete maximum principles for finite element solutions of some mixed nonlinear elliptic problems using quadratures. Zbl 1137.65424
Karátson, J.; Korotov, S.
2006
Discrete maximum principles for finite element solutions of nonlinear elliptic problems with mixed boundary conditions. Zbl 1067.65127
Karátson, J.; Korotov, S.
2005
Discrete maximum principle for linear parabolic problems solved on hybrid meshes. Zbl 1070.65094
Faragó, I.; Horváth, R.; Korotov, S.
2005
Global and local refinement techniques yielding nonobtuse tetrahedral partitions. Zbl 1086.65116
Korotov, S.; Křížek, M.
2005
Nonobtuse tetrahedral partitions that refine locally towards Fichera-like corners. Zbl 1099.65105
Beilina, Larisa; Korotov, Sergey; Křížek, Michal
2005
The strengthened Cauchy-bunyakowski-Schwarz inequality for $$n$$-simplicial linear finite elements. Zbl 1118.65384
Brandts, Jan; Korotov, Sergey; Křížek, Michal
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.
2005
Discrete maximum principle for Galerkin finite element solutions to parabolic problems on rectangular meshes. Zbl 1057.65064
Faragó, István; Horváth, Róbert; Korotov, Sergey
2004
Conjugate gradient algorithms and finite element methods. Zbl 1059.65001
2004
A posteriori error estimation of goal-oriented quantities by a superconvergence patch recovery. Zbl 1039.65075
Korotov, S.; Neittaanmäki, P.; Repin, S.
2003
Local nonobtuse tetrahedral refinements of a cube. Zbl 1046.65106
Korotov, S.; Křížek, M.
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
2002
Weakened acute type condition for tetrahedral triangulations and the discrete maximum principle. Zbl 1001.65125
Korotov, Sergey; Křížek, Michal; Neittaanmäki, Pekka
2001
Acute type refinements of tetrahedral partitions of polyhedral domains. Zbl 1069.65017
Korotov, Sergey; Křížek, Michal
2001
Finite element analysis of variational crimes for a quasilinear elliptic problem in 3D. Zbl 0948.65129
Korotov, Sergey; Křížek, Michal
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
1999
Finite element analysis for the heat conduction equation with the third boundary condition. Zbl 0935.35058
Faragó, István; Korotov, Sergey; Neittaanmäki, Pekka
1998
Finite element analysis of variational crimes for a nonlinear heat conduction problem in three-dimensional space. Zbl 0968.65069
Korotov, Sergey; Křížek, Michal
1998
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### Cited by 444 Authors

 48 Korotov, Sergey 23 Křížek, Michal 12 Karátson, János 10 Brandts, Jan H. 10 Vejchodský, Tomáš 9 Horváth, Robert A. 8 Faragó, István 8 Vatne, Jon Eivind 7 Hannukainen, Antti 7 Kuzmin, Dmitri 7 Walker, Shawn W. 6 Plaza, Ángel 6 Svyatsky, Daniil 6 Todorov, Todor Dimitrov 6 Yuan, Guangwei 5 Boulbrachene, Messaoud 5 Huang, Weizhang 5 Kobayashi, Kenta 5 Petrov, Miroslav S. 5 Šolín, Pavel 5 Tsuchiya, Takuya 5 Wick, Thomas 4 Baĭdakova, Natalia Vasil’evna 4 Burman, Erik 4 Hošek, Radim 4 Khademi, Ali 4 Li, Xianping 4 Lipnikov, Konstantin N. 4 Matus, Pëtr Paŭlavich 4 Pollock, Sara 4 Rüter, Marcus Olavi 4 Sheng, Zhiqiang 4 Vassilevski, Yuri V. 4 Zhu, Yunrong 3 Auricchio, Ferdinando 3 Cihangir, Apo 3 Ern, Alexandre 3 Gaspar, Francisco José 3 Harbi, Abida 3 Hieu, Le Minh 3 Houston, Paul 3 Ishizaka, Hiroki 3 Koleva, Miglena Nikolaeva 3 Lefieux, Adrien 3 Manzini, Gianmarco 3 Nochetto, Ricardo Horacio 3 Padrón, Miguel A. 3 Segeth, Karel 3 Stein, Erwin 3 Vabishchevich, Pëtr Nikolaevich 3 Zhang, Wujun 2 Abdulle, Assyr 2 Al Farei, Qais 2 Bertoluzza, Silvia 2 Biasotti, Silvia 2 Cabiddu, Daniela 2 Calo, Victor Manuel 2 Cascón, José Manuel 2 Congreve, Scott 2 Du, Qiang 2 Duan, Huoyuan 2 Endtmayer, Bernhard 2 Feng, Xinlong 2 Guoy, Damrong 2 Gyulov, Tihomir B. 2 He, Wenming 2 Hirani, Anil N. 2 Huang, Qiumei 2 Kreuzer, Christian 2 Kučera, Václav 2 Leykekhman, Dmitriy 2 Li, Yonghai 2 Liu, Jinghong 2 Lötstedt, Per 2 Lu, Changna 2 Mao, Shipeng 2 Micheletti, Stefano 2 Mincsovics, Miklós Emil 2 Muntean, Adrian 2 Nakshatrala, K. B. 2 Ohnimus, Stephan 2 Pak, Igor 2 Patané, Giuseppe 2 Pennacchio, Micol 2 Perotto, Simona 2 Poliakov, Dmitriy 2 Prada, Daniele 2 Prohl, Andreas 2 Qiu, Jingmei 2 Reali, Alessandro 2 Rodrigo, Carmen 2 Rojas, Sergio 2 Shashkov, Mikhail J. 2 Spagnuolo, Michela 2 Suárez, José Pablo 2 Tan, Roger C. E. 2 VanderZee, Evan 2 Vohralík, Martin 2 Vulkov, Lubin G. 2 Xiong, Tao ...and 344 more Authors
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### Cited in 86 Serials

 31 Journal of Computational and Applied Mathematics 21 Journal of Computational Physics 19 Computers & Mathematics with Applications 17 Computer Methods in Applied Mechanics and Engineering 15 Numerische Mathematik 12 Applications of Mathematics 10 Mathematics of Computation 10 Applied Mathematics and Computation 10 Applied Numerical Mathematics 9 Mathematics and Computers in Simulation 8 Journal of Scientific Computing 6 Computational Methods in Applied Mathematics 5 Journal of Mathematical Analysis and Applications 5 Applied Mathematical Modelling 5 SIAM Journal on Scientific Computing 5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 Computational Mechanics 4 Numerical Methods for Partial Differential Equations 4 Applied Mathematics Letters 4 Central European Journal of Mathematics 3 Mathematical Methods in the Applied Sciences 3 International Journal for Numerical Methods in Engineering 3 Discrete & Computational Geometry 3 Japan Journal of Industrial and Applied Mathematics 3 Computational Geometry 3 Numerical Algorithms 3 Linear Algebra and its Applications 3 Proceedings of the Steklov Institute of Mathematics 2 Advances in Mathematics 2 Calcolo 2 SIAM Journal on Numerical Analysis 2 International Journal of Computational Geometry & Applications 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 International Journal of Computer Mathematics 2 Computational Optimization and Applications 2 Computational and Applied Mathematics 2 Journal of Inequalities and Applications 2 Communications in Computational Physics 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 The Mathematical Intelligencer 1 BIT 1 Journal of Differential Equations 1 Journal of Geometry 1 Numerical Functional Analysis and Optimization 1 European Journal of Combinatorics 1 Combinatorica 1 Computer Aided Geometric Design 1 Journal of Computational Mathematics 1 Computational Mathematics and Modeling 1 Journal of Global Optimization 1 Computational Mathematics and Mathematical Physics 1 SIAM Review 1 Computational Statistics and Data Analysis 1 Archive of Applied Mechanics 1 Numerical Linear Algebra with Applications 1 Russian Journal of Numerical Analysis and Mathematical Modelling 1 Advances in Computational Mathematics 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 East Asian Journal on Applied Mathematics 1 AIMS Mathematics 1 International Journal on Finite Volumes
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### Cited in 36 Fields

 265 Numerical analysis (65-XX) 148 Partial differential equations (35-XX) 35 Fluid mechanics (76-XX) 22 Mechanics of deformable solids (74-XX) 15 Calculus of variations and optimal control; optimization (49-XX) 13 Geometry (51-XX) 13 Convex and discrete geometry (52-XX) 9 Approximations and expansions (41-XX) 6 Ordinary differential equations (34-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Classical thermodynamics, heat transfer (80-XX) 4 Probability theory and stochastic processes (60-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Biology and other natural sciences (92-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Computer science (68-XX) 3 Optics, electromagnetic theory (78-XX) 3 Operations research, mathematical programming (90-XX) 2 Real functions (26-XX) 2 Potential theory (31-XX) 2 Difference and functional equations (39-XX) 2 Integral equations (45-XX) 2 Statistics (62-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Group theory and generalizations (20-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Mechanics of particles and systems (70-XX) 1 Relativity and gravitational theory (83-XX) 1 Systems theory; control (93-XX)