Edit Profile (opens in new tab) Korotov, Sergey Compute Distance To: Compute 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 all top 5 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 all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications 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 1001.65125Korotov, Sergey; Křížek, Michal; Neittaanmäki, Pekka 55 2001 Discrete maximum principles for finite element solutions of nonlinear elliptic problems with mixed boundary conditions. Zbl 1067.65127Karátson, J.; Korotov, S. 45 2005 The discrete maximum principle for linear simplicial finite element approximations of a reaction-diffusion problem. Zbl 1154.65086Brandts, Jan H.; Korotov, Sergey; Křížek, Michal 44 2008 On nonobtuse simplicial partitions. Zbl 1172.51012Brandts, Jan; Korotov, Sergey; Křížek, Michal; Šolc, Jakub 41 2009 On discrete maximum principles for nonlinear elliptic problems. Zbl 1142.65093Karátson, János; Korotov, Sergey; Křížek, Michal 27 2007 On the equivalence of regularity criteria for triangular and tetrahedral finite element partitions. Zbl 1142.65443Brandts, Jan; Korotov, Sergey; Křížek, Michal 25 2008 Discrete maximum principle for linear parabolic problems solved on hybrid meshes. Zbl 1070.65094Faragó, I.; Horváth, R.; Korotov, S. 21 2005 Acute type refinements of tetrahedral partitions of polyhedral domains. Zbl 1069.65017Korotov, Sergey; Křížek, Michal 18 2001 The maximum angle condition is not necessary for convergence of the finite element method. Zbl 1255.65196Hannukainen, Antti; Korotov, Sergey; Křížek, Michal 18 2012 Dissection of the path-simplex in \(\mathbb {R}^n\) into \(n\) path-subsimplices. Zbl 1112.51006Brandts, Jan; Korotov, Sergey; Křížek, Michal 16 2007 A posteriori error estimation of goal-oriented quantities by a superconvergence patch recovery. Zbl 1039.65075Korotov, S.; Neittaanmäki, P.; Repin, S. 15 2003 Discrete maximum principles for nonlinear parabolic PDE systems. Zbl 1258.65088Faragó, István; Karátson, János; Korotov, Sergey 15 2012 Red refinements of simplices into congruent subsimplices. Zbl 1368.65249Korotov, Sergey; Křížek, Michal 13 2014 On the equivalence of ball conditions for simplicial finite elements in \(\mathbf R^d\). Zbl 1173.52301Brandts, Jan; Korotov, Sergey; Křížek, Michal 13 2009 Goal-oriented a posteriori error estimates for transport problems. Zbl 1196.65172Kuzmin, Dmitri; Korotov, Sergey 12 2010 Two-sided a posteriori error estimates for linear elliptic problems with mixed boundary conditions. Zbl 1164.65485Korotov, Sergey 12 2007 A posteriori error estimation of goal-oriented quantities for elliptic type BVPs. Zbl 1089.65120Korotov, S. 12 2006 Global and local refinement techniques yielding nonobtuse tetrahedral partitions. Zbl 1086.65116Korotov, S.; Křížek, M. 11 2005 Discrete maximum principles for FE solutions of nonstationary diffusion-reaction problems with mixed boundary conditions. Zbl 1220.65133Faragó, István; Horváth, Róbert; Korotov, Sergey 10 2011 Discrete maximum principle for parabolic problems solved by prismatic finite elements. Zbl 1214.65053Vejchodský, Tomáš; Korotov, Sergey; Hannukainen, Antti 9 2010 Generalization of the Zlamal condition for simplicial finite elements in \(\mathbb {R}^{d}\). Zbl 1240.65327Brandts, 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 1178.74172Rüter, Marcus; Korotov, Sergey; Steenbock, Christian 9 2007 An algebraic discrete maximum principle in Hilbert space with applications to nonlinear cooperative elliptic systems. Zbl 1211.65060Karátson, János; Korotov, Sergey 8 2009 On angle conditions in the finite element method. Zbl 1242.65235Brandts, Jan H.; Hannukainen, Antti; Korotov, Sergey; Křížek, Michal 8 2011 On the generalization of the Synge-Křížek maximum angle condition for \(d\)-simplices. Zbl 1426.65177Khademi, Ali; Korotov, Sergey; Vatne, Jon Eivind 8 2019 Simplicial finite elements in higher dimensions. Zbl 1164.65493Brandts, Jan; Korotov, Sergey; Křížek, Michal 8 2007 Local nonobtuse tetrahedral refinements of a cube. Zbl 1046.65106Korotov, S.; Křížek, M. 8 2003 On global and local mesh refinements by a generalized conforming bisection algorithm. Zbl 1207.65145Hannukainen, Antti; Korotov, Sergey; Křížek, Michal 7 2010 Discrete maximum principle for FE solutions of the diffusion-reaction problem on prismatic meshes. Zbl 1170.65093Hannukainen, Antti; Korotov, Sergey; Vejchodský, Tomáš 7 2009 Discrete maximum principles for FEM solutions of some nonlinear elliptic interface problems. Zbl 1163.65076Karátson, János; Korotov, Sergey 7 2009 On Synge-type angle condition for \(d\)-simplices. Zbl 1424.65220Hannukainen, Antti; Korotov, Sergey; Křížek, Michal 6 2017 Nodal \({\mathcal O}(h^4)\)-superconvergence in 3D by averaging piecewise linear, bilinear, and trilinear FE approximations. Zbl 1224.65247Hannukainen, Antti; Korotov, Sergey; Křížek, Michal 6 2010 A two-scale method for the computation of solid-liquid phase transitions with dendritic microstructure. Zbl 1045.76037Eck, Christof; Knabner, Peter; Korotov, Sergey 6 2002 Discrete maximum principles for finite element solutions of some mixed nonlinear elliptic problems using quadratures. Zbl 1137.65424Karátson, J.; Korotov, S. 6 2006 On interpolation error on degenerating prismatic elements. Zbl 1488.65632Khademi, Ali; Korotov, Sergey; Vatne, Jon Eivind 5 2018 Simplicial partitions with applications to the finite element method. Zbl 1453.65003Brandts, Jan; Korotov, Sergey; Křížek, Michal 5 2020 Nonobtuse tetrahedral partitions that refine locally towards Fichera-like corners. Zbl 1099.65105Beilina, Larisa; Korotov, Sergey; Křížek, Michal 5 2005 Computational technologies for reliable control of global and local errors for linear elliptic type boundary value problems. Zbl 1161.65081Hannukainen, A.; Korotov, S. 5 2007 Nonobtuse local tetrahedral refinements towards a polygonal face/interface. Zbl 1214.65051Korotov, Sergey; Křížek, Michal 4 2011 Longest-edge \(n\)-section algorithms: properties and open problems. Zbl 1329.65292Korotov, Sergey; Plaza, Ángel; Suárez, José P. 4 2016 Finite element analysis of variational crimes for a quasilinear elliptic problem in 3D. Zbl 0948.65129Korotov, Sergey; Křížek, Michal 4 2000 Sharp upper global a posteriori error estimates for nonlinear elliptic variational problems. Zbl 1212.65249Karátson, János; Korotov, Sergey 4 2009 Discrete maximum principles for the FEM solution of some nonlinear parabolic problems. Zbl 1205.65268Faragó, István; Karátson, János; Korotov, Sergey 4 2010 Global a posteriori error estimates for convection-reaction-diffusion problems. Zbl 1176.65126Korotov, Sergey 4 2008 A posteriori error analysis of a stabilized mixed FEM for convection-diffusion problems. Zbl 1335.65087Korotov, S.; Jansson, J.; González, M. 4 2015 Qualitative properties of nonlinear parabolic operators. Zbl 1354.65207Faragó, István; Horváth, Róbert; Karátson, János; Korotov, Sergey 3 2017 On continuous and discrete maximum principles for elliptic problems with the third boundary condition. Zbl 1288.65154Faragó, István; Korotov, Sergey; Szabó, Tamás 3 2013 Local nonobtuse tetrahedral refinements around an edge. Zbl 1288.65175Korotov, Sergey; Křížek, Michal 3 2013 On regularity of tetrahedral meshes produced by some red-type refinements. Zbl 1453.65300Korotov, Sergey; Vatne, Jon Eivind 3 2020 Discrete maximum principle for Galerkin finite element solutions to parabolic problems on rectangular meshes. Zbl 1057.65064Faragó, István; Horváth, Róbert; Korotov, Sergey 3 2004 On the existence of strongly regular families of triangulations for domains with a piecewise smooth boundary. Zbl 1060.65665Korotov, Sergey; Křížek, Michal; Neittaanmäki, Pekka 3 1999 The strengthened Cauchy-bunyakowski-Schwarz inequality for \(n\)-simplicial linear finite elements. Zbl 1118.65384Brandts, 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 1092.65097Hannukainen, A.; Korotov, S. 3 2005 A newa posteriori error estimate for convection-reaction-diffusion problems. Zbl 1143.65086Kuzmin, Dmitri; Hannukainen, Antti; Korotov, Sergey 3 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 2 2012 Some discrete maximum principles arising for nonlinear elliptic finite element problems. Zbl 1443.65347Karátson, J.; Korotov, Sergey 2 2015 On modifications of continuous and discrete maximum principles for reaction-diffusion problems. Zbl 1262.35124Farago, Istvan; Korotov, Sergey; Szabo, Tamas 2 2011 On weakening conditions for discrete maximum principles for linear finite element schemes. Zbl 1233.65089Hannukainen, Antti; Korotov, Sergey; Vejchodský, Tomáš 2 2009 On a discrete maximum principle for linear FE solutions of elliptic problems with a nondiagonal coefficient matrix. Zbl 1233.65092Korotov, Sergey; Křížek, Michal; Šolc, Jakub 2 2009 On continuous and discrete maximum/minimum principles for reaction-diffusion problems with the Neumann boundary condition. Zbl 1363.35061Faragó, István; Korotov, Sergey; Szabó, Tamás 1 2015 Discrete nonnegativity for nonlinear cooperative parabolic PDE systems with non-monotone coupling. Zbl 07313846Faragó, István; Karátson, János; Korotov, Sergey 1 2017 Finite element analysis for the heat conduction equation with the third boundary condition. Zbl 0935.35058Faragó, István; Korotov, Sergey; Neittaanmäki, Pekka 1 1998 Finite element analysis of variational crimes for a nonlinear heat conduction problem in three-dimensional space. Zbl 0968.65069Korotov, Sergey; Křížek, Michal 1 1998 Conjugate gradient algorithms and finite element methods. Zbl 1059.65001 1 2004 The minimum angle condition for \(d\)-simplices. Zbl 1446.65100Korotov, Sergey; Vatne, Jon Eivind 1 2020 On a bisection algorithm that produces conforming locally refined simplicial meshes. Zbl 1280.65135Hannukainen, Antti; Korotov, Sergey; Křížek, Michal 1 2010 On conforming tetrahedralisations of prismatic partitions. Zbl 1317.65063Korotov, Sergey; Křížek, Michal 1 2013 Discrete maximum principles for nonlinear elliptic finite element problems on surfaces with boundary. Zbl 1465.65139Karátson, János; Kovács, Balázs; Korotov, Sergey 1 2020 Maximum angle condition for \(n\)-dimensional simplicial elements. Zbl 1427.65363Hannukainen, Antti; Korotov, Sergey; Křížek, Michal 1 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 1 2015 Qualitative properties of nonlinear parabolic operators II: the case of PDE systems. Zbl 06937840Csóka, József; Faragó, István; Horváth, Róbert; Karátson, János; Korotov, Sergey 1 2018 Simplicial partitions with applications to the finite element method. Zbl 1453.65003Brandts, Jan; Korotov, Sergey; Křížek, Michal 5 2020 On regularity of tetrahedral meshes produced by some red-type refinements. Zbl 1453.65300Korotov, Sergey; Vatne, Jon Eivind 3 2020 The minimum angle condition for \(d\)-simplices. Zbl 1446.65100Korotov, Sergey; Vatne, Jon Eivind 1 2020 Discrete maximum principles for nonlinear elliptic finite element problems on surfaces with boundary. Zbl 1465.65139Karátson, János; Kovács, Balázs; Korotov, Sergey 1 2020 On the generalization of the Synge-Křížek maximum angle condition for \(d\)-simplices. Zbl 1426.65177Khademi, Ali; Korotov, Sergey; Vatne, Jon Eivind 8 2019 On interpolation error on degenerating prismatic elements. Zbl 1488.65632Khademi, Ali; Korotov, Sergey; Vatne, Jon Eivind 5 2018 Maximum angle condition for \(n\)-dimensional simplicial elements. Zbl 1427.65363Hannukainen, Antti; Korotov, Sergey; Křížek, Michal 1 2018 Qualitative properties of nonlinear parabolic operators II: the case of PDE systems. Zbl 06937840Csóka, József; Faragó, István; Horváth, Róbert; Karátson, János; Korotov, Sergey 1 2018 On Synge-type angle condition for \(d\)-simplices. Zbl 1424.65220Hannukainen, Antti; Korotov, Sergey; Křížek, Michal 6 2017 Qualitative properties of nonlinear parabolic operators. Zbl 1354.65207Faragó, István; Horváth, Róbert; Karátson, János; Korotov, Sergey 3 2017 Discrete nonnegativity for nonlinear cooperative parabolic PDE systems with non-monotone coupling. Zbl 07313846Faragó, István; Karátson, János; Korotov, Sergey 1 2017 Longest-edge \(n\)-section algorithms: properties and open problems. Zbl 1329.65292Korotov, Sergey; Plaza, Ángel; Suárez, José P. 4 2016 A posteriori error analysis of a stabilized mixed FEM for convection-diffusion problems. Zbl 1335.65087Korotov, S.; Jansson, J.; González, M. 4 2015 Some discrete maximum principles arising for nonlinear elliptic finite element problems. Zbl 1443.65347Karátson, J.; Korotov, Sergey 2 2015 On continuous and discrete maximum/minimum principles for reaction-diffusion problems with the Neumann boundary condition. Zbl 1363.35061Faragó, István; Korotov, Sergey; Szabó, Tamás 1 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 1 2015 Red refinements of simplices into congruent subsimplices. Zbl 1368.65249Korotov, Sergey; Křížek, Michal 13 2014 On continuous and discrete maximum principles for elliptic problems with the third boundary condition. Zbl 1288.65154Faragó, István; Korotov, Sergey; Szabó, Tamás 3 2013 Local nonobtuse tetrahedral refinements around an edge. Zbl 1288.65175Korotov, Sergey; Křížek, Michal 3 2013 On conforming tetrahedralisations of prismatic partitions. Zbl 1317.65063Korotov, Sergey; Křížek, Michal 1 2013 The maximum angle condition is not necessary for convergence of the finite element method. Zbl 1255.65196Hannukainen, Antti; Korotov, Sergey; Křížek, Michal 18 2012 Discrete maximum principles for nonlinear parabolic PDE systems. Zbl 1258.65088Faragó, István; Karátson, János; Korotov, Sergey 15 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 2 2012 Discrete maximum principles for FE solutions of nonstationary diffusion-reaction problems with mixed boundary conditions. Zbl 1220.65133Faragó, István; Horváth, Róbert; Korotov, Sergey 10 2011 Generalization of the Zlamal condition for simplicial finite elements in \(\mathbb {R}^{d}\). Zbl 1240.65327Brandts, Jan; Korotov, Sergey; Křížek, Michal 9 2011 On angle conditions in the finite element method. Zbl 1242.65235Brandts, Jan H.; Hannukainen, Antti; Korotov, Sergey; Křížek, Michal 8 2011 Nonobtuse local tetrahedral refinements towards a polygonal face/interface. Zbl 1214.65051Korotov, Sergey; Křížek, Michal 4 2011 On modifications of continuous and discrete maximum principles for reaction-diffusion problems. Zbl 1262.35124Farago, Istvan; Korotov, Sergey; Szabo, Tamas 2 2011 Goal-oriented a posteriori error estimates for transport problems. Zbl 1196.65172Kuzmin, Dmitri; Korotov, Sergey 12 2010 Discrete maximum principle for parabolic problems solved by prismatic finite elements. Zbl 1214.65053Vejchodský, Tomáš; Korotov, Sergey; Hannukainen, Antti 9 2010 On global and local mesh refinements by a generalized conforming bisection algorithm. Zbl 1207.65145Hannukainen, Antti; Korotov, Sergey; Křížek, Michal 7 2010 Nodal \({\mathcal O}(h^4)\)-superconvergence in 3D by averaging piecewise linear, bilinear, and trilinear FE approximations. Zbl 1224.65247Hannukainen, Antti; Korotov, Sergey; Křížek, Michal 6 2010 Discrete maximum principles for the FEM solution of some nonlinear parabolic problems. Zbl 1205.65268Faragó, István; Karátson, János; Korotov, Sergey 4 2010 On a bisection algorithm that produces conforming locally refined simplicial meshes. Zbl 1280.65135Hannukainen, Antti; Korotov, Sergey; Křížek, Michal 1 2010 On nonobtuse simplicial partitions. Zbl 1172.51012Brandts, Jan; Korotov, Sergey; Křížek, Michal; Šolc, Jakub 41 2009 On the equivalence of ball conditions for simplicial finite elements in \(\mathbf R^d\). Zbl 1173.52301Brandts, Jan; Korotov, Sergey; Křížek, Michal 13 2009 An algebraic discrete maximum principle in Hilbert space with applications to nonlinear cooperative elliptic systems. Zbl 1211.65060Karátson, János; Korotov, Sergey 8 2009 Discrete maximum principle for FE solutions of the diffusion-reaction problem on prismatic meshes. Zbl 1170.65093Hannukainen, Antti; Korotov, Sergey; Vejchodský, Tomáš 7 2009 Discrete maximum principles for FEM solutions of some nonlinear elliptic interface problems. Zbl 1163.65076Karátson, János; Korotov, Sergey 7 2009 Sharp upper global a posteriori error estimates for nonlinear elliptic variational problems. Zbl 1212.65249Karátson, János; Korotov, Sergey 4 2009 On weakening conditions for discrete maximum principles for linear finite element schemes. Zbl 1233.65089Hannukainen, Antti; Korotov, Sergey; Vejchodský, Tomáš 2 2009 On a discrete maximum principle for linear FE solutions of elliptic problems with a nondiagonal coefficient matrix. Zbl 1233.65092Korotov, Sergey; Křížek, Michal; Šolc, Jakub 2 2009 The discrete maximum principle for linear simplicial finite element approximations of a reaction-diffusion problem. Zbl 1154.65086Brandts, Jan H.; Korotov, Sergey; Křížek, Michal 44 2008 On the equivalence of regularity criteria for triangular and tetrahedral finite element partitions. Zbl 1142.65443Brandts, Jan; Korotov, Sergey; Křížek, Michal 25 2008 Global a posteriori error estimates for convection-reaction-diffusion problems. Zbl 1176.65126Korotov, Sergey 4 2008 A newa posteriori error estimate for convection-reaction-diffusion problems. Zbl 1143.65086Kuzmin, Dmitri; Hannukainen, Antti; Korotov, Sergey 3 2008 On discrete maximum principles for nonlinear elliptic problems. Zbl 1142.65093Karátson, János; Korotov, Sergey; Křížek, Michal 27 2007 Dissection of the path-simplex in \(\mathbb {R}^n\) into \(n\) path-subsimplices. Zbl 1112.51006Brandts, Jan; Korotov, Sergey; Křížek, Michal 16 2007 Two-sided a posteriori error estimates for linear elliptic problems with mixed boundary conditions. Zbl 1164.65485Korotov, 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 1178.74172Rüter, Marcus; Korotov, Sergey; Steenbock, Christian 9 2007 Simplicial finite elements in higher dimensions. Zbl 1164.65493Brandts, 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 1161.65081Hannukainen, A.; Korotov, S. 5 2007 A posteriori error estimation of goal-oriented quantities for elliptic type BVPs. Zbl 1089.65120Korotov, S. 12 2006 Discrete maximum principles for finite element solutions of some mixed nonlinear elliptic problems using quadratures. Zbl 1137.65424Karátson, J.; Korotov, S. 6 2006 Discrete maximum principles for finite element solutions of nonlinear elliptic problems with mixed boundary conditions. Zbl 1067.65127Karátson, J.; Korotov, S. 45 2005 Discrete maximum principle for linear parabolic problems solved on hybrid meshes. Zbl 1070.65094Faragó, I.; Horváth, R.; Korotov, S. 21 2005 Global and local refinement techniques yielding nonobtuse tetrahedral partitions. Zbl 1086.65116Korotov, S.; Křížek, M. 11 2005 Nonobtuse tetrahedral partitions that refine locally towards Fichera-like corners. Zbl 1099.65105Beilina, Larisa; Korotov, Sergey; Křížek, Michal 5 2005 The strengthened Cauchy-bunyakowski-Schwarz inequality for \(n\)-simplicial linear finite elements. Zbl 1118.65384Brandts, 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 1092.65097Hannukainen, A.; Korotov, S. 3 2005 Discrete maximum principle for Galerkin finite element solutions to parabolic problems on rectangular meshes. Zbl 1057.65064Faragó, István; Horváth, Róbert; Korotov, Sergey 3 2004 Conjugate gradient algorithms and finite element methods. Zbl 1059.65001 1 2004 A posteriori error estimation of goal-oriented quantities by a superconvergence patch recovery. Zbl 1039.65075Korotov, S.; Neittaanmäki, P.; Repin, S. 15 2003 Local nonobtuse tetrahedral refinements of a cube. Zbl 1046.65106Korotov, S.; Křížek, M. 8 2003 A two-scale method for the computation of solid-liquid phase transitions with dendritic microstructure. Zbl 1045.76037Eck, Christof; Knabner, Peter; Korotov, Sergey 6 2002 Weakened acute type condition for tetrahedral triangulations and the discrete maximum principle. Zbl 1001.65125Korotov, Sergey; Křížek, Michal; Neittaanmäki, Pekka 55 2001 Acute type refinements of tetrahedral partitions of polyhedral domains. Zbl 1069.65017Korotov, Sergey; Křížek, Michal 18 2001 Finite element analysis of variational crimes for a quasilinear elliptic problem in 3D. Zbl 0948.65129Korotov, Sergey; Křížek, Michal 4 2000 On the existence of strongly regular families of triangulations for domains with a piecewise smooth boundary. Zbl 1060.65665Korotov, Sergey; Křížek, Michal; Neittaanmäki, Pekka 3 1999 Finite element analysis for the heat conduction equation with the third boundary condition. Zbl 0935.35058Faragó, István; Korotov, Sergey; Neittaanmäki, Pekka 1 1998 Finite element analysis of variational crimes for a nonlinear heat conduction problem in three-dimensional space. Zbl 0968.65069Korotov, Sergey; Křížek, Michal 1 1998 all cited Publications top 5 cited Publications all top 5 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 all top 5 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 all top 5 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) Citations by Year