Edit Profile (opens in new tab) Křížek, Michal Compute Distance To: Compute Author ID: krizek.michal Published as: Křížek, Michal; Křížek, M.; Krizek, Michal; Křižek, M.; Křižek, Michal; Křížek, Michael; Krízek, Michal; Křízek, Michal; Křížek, M more...less Homepage: https://users.math.cas.cz/~krizek/ External Links: MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef Documents Indexed: 200 Publications since 1982, including 7 Books 7 Contributions as Editor · 1 Further Contribution Reviewing Activity: 47 Reviews Biographic References: 2 Publications Co-Authors: 59 Co-Authors with 175 Joint Publications 2,050 Co-Co-Authors all top 5 Co-Authors 31 single-authored 42 Korotov, Sergey 40 Somer, Lawrence E. 29 Brandts, Jan H. 28 Neittaanmäki, Pekka J. 16 Liu, Liping 14 Hlaváček, Ivan 7 Hannukainen, Antti 6 Luca, Florian 6 Šolcová, Alena 5 Šolc, Jakub 4 Vejchodský, Tomáš 3 Chen, Wei 3 Chleboun, Jan 3 Kowalski, Oldřich 3 Markl, Martin 2 Cihangir, Apo 2 Pradlová, Jana 2 Pudlák, Pavel 2 Šístek, Jakub 2 Stenberg, Rolf 2 Strouboulis, Theofanis 2 Vrkoč, Ivo 2 Yuan, Kewei 1 Acheson, David J. 1 Beilina, Larisa 1 Čejchan, Antonín 1 Chen, Chuanmiao 1 Davies, Kevin B. 1 de Haan, Vincent 1 Dijkhuis, Sander 1 Feistauer, Miloslav 1 Glowinski, Roland 1 Gueorguiev, Vesselin G. 1 Huang, Min 1 Huang, Yunqing 1 Karátson, János 1 Katrnoška, František 1 Koukal, Stanislav 1 Krizek, Pavel 1 Kučera, Václav 1 Lin, Qun 1 Lin, Tao 1 Liping, L. 1 Litvinov, V. G. 1 Liu, Tang 1 Maeder, André 1 Malý, Jan 1 Milka, Zdeněk 1 Mlýnek, Jaroslav 1 Němec, Jan 1 Pištora, Vladislav 1 Práger, Milan 1 Pravda, Vojtěch 1 Roos, Hans-Görg 1 Segeth, Karel 1 Shparlinski, Igor E. 1 Sobotíková, Veronika 1 Vitásek, Emil 1 Vondrák, Miroslav 1 Zhang, Shuhua all top 5 Serials 24 Pokroky Matematiky, Fyziky & Astronomie 21 Applications of Mathematics 13 The Fibonacci Quarterly 9 Aplikace Matematiky 5 Journal of Computational Mathematics 4 Journal of Computational and Applied Mathematics 4 Numerische Mathematik 4 Numerical Methods for Partial Differential Equations 4 Applied Mathematics Letters 3 Computers & Mathematics with Applications 3 Czechoslovak Mathematical Journal 3 SIAM Journal on Numerical Analysis 3 Mathematica Bohemica 3 Gravitation & Cosmology 2 Computer Methods in Applied Mechanics and Engineering 2 Discrete Mathematics 2 Applied Mathematics and Computation 2 Commentationes Mathematicae Universitatis Carolinae 2 Mathematics and Computers in Simulation 2 Discrete & Computational Geometry 2 Linear Algebra and its Applications 2 Matemática Aplicada e Computacional 2 East-West Journal of Numerical Mathematics 2 Journal of Integer Sequences 2 JP Journal of Algebra, Number Theory and Applications 2 Lecture Notes in Pure and Applied Mathematics 2 Advances in Applied Mathematics and Mechanics 1 IMA Journal of Numerical Analysis 1 International Journal for Numerical Methods in Fluids 1 Journal of Mathematical Analysis and Applications 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Mathematics of Computation 1 Demonstratio Mathematica 1 Journal of Geometry 1 Journal of Number Theory 1 Mathematica Scandinavica 1 Mathematica Slovaca 1 Proceedings of the American Mathematical Society 1 RAIRO. Analyse Numérique 1 Mathematics in Practice and Theory 1 Acta Applicandae Mathematicae 1 Systems Science and Mathematical Sciences 1 Computational Geometry 1 SIAM Review 1 Notices of the American Mathematical Society 1 Tatra Mountains Mathematical Publications 1 Applicationes Mathematicae 1 Numerical Linear Algebra with Applications 1 Advances in Computational Mathematics 1 Acta Mathematica et Informatica Universitatis Ostraviensis 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Sibirskiĭ Zhurnal Vychislitel’noĭ Matematiki 1 La Gaceta de la Real Sociedad Matemática Española 1 Integers 1 Far East Journal of Dynamical Systems 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms 1 International Journal of Numerical Analysis and Modeling 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Pitman Monographs and Surveys in Pure and Applied Mathematics 1 GAKUTO International Series. Mathematical Sciences and Applications 1 CMS Books in Mathematics/Ouvrages de Mathématiques de la SMC 1 Communications in Computational Physics 1 S\(\vec{\text{e}}\)MA Journal 1 Journal of Theoretical Biology 1 Springer Monographs in Mathematics 1 Mathematical Modelling: Theory and Applications 1 Scientific Computation all top 5 Fields 115 Numerical analysis (65-XX) 61 Partial differential equations (35-XX) 39 Number theory (11-XX) 18 History and biography (01-XX) 16 Geometry (51-XX) 16 Mechanics of deformable solids (74-XX) 12 General and overarching topics; collections (00-XX) 11 Combinatorics (05-XX) 10 Convex and discrete geometry (52-XX) 8 Fluid mechanics (76-XX) 6 Relativity and gravitational theory (83-XX) 5 Optics, electromagnetic theory (78-XX) 4 Approximations and expansions (41-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Astronomy and astrophysics (85-XX) 2 Group theory and generalizations (20-XX) 2 Differential geometry (53-XX) 2 Mechanics of particles and systems (70-XX) 2 Operations research, mathematical programming (90-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Potential theory (31-XX) 1 Ordinary differential equations (34-XX) 1 Functional analysis (46-XX) 1 Computer science (68-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 120 Publications have been cited 1,141 times in 635 Documents Cited by ▼ Year ▼ On superconvergence techniques. Zbl 0624.65107Křížek, Michal; Neittaanmäki, Pekka 63 1987 On the maximum angle condition for linear tetrahedral elements. Zbl 0755.41003Křížek, Michal 56 1992 Weakened acute type condition for tetrahedral triangulations and the discrete maximum principle. Zbl 1001.65125Korotov, Sergey; Křížek, Michal; Neittaanmäki, Pekka 55 2001 Superconvergence phenomenon in the finite element method arising from averaging gradients. Zbl 0575.65104Křížek, Michal; Neittaanmäki, Pekka 45 1984 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 Galerkin approximations of a quasilinear nonpotential elliptic problem of a nonmonotone type. Zbl 0802.65113Hlaváček, Ivan; Křížek, Michal; Malý, Jan 41 1994 Gradient superconvergence on uniform simplicial partitions of polytopes. Zbl 1042.65081Brandts, Jan; Křížek, Michal 39 2003 On diagonal dominance of stiffness matrices in 3D. Zbl 0824.65112Křížek, M.; Qun, L. 36 1995 On a global superconvergence of the gradient of linear triangular elements. Zbl 0602.65084Křížek, M.; Neittaanmäki, P. 34 1987 On semiregular families of triangulations and linear interpolation. Zbl 0728.41003Křížek, Michal 30 1991 On discrete maximum principles for nonlinear elliptic problems. Zbl 1142.65093Karátson, János; Korotov, Sergey; Křížek, Michal 27 2007 Finite element approximation of variational problems and applications. Zbl 0708.65106Křížek, M; Neittaanmäki, P. 26 1990 On a connection of number theory with graph theory. Zbl 1080.11004Somer, Lawrence; Křížek, Michal 26 2004 On the equivalence of regularity criteria for triangular and tetrahedral finite element partitions. Zbl 1142.65443Brandts, Jan; Korotov, Sergey; Křížek, Michal 25 2008 The maximum angle condition is not necessary for convergence of the finite element method. Zbl 1255.65196Hannukainen, Antti; Korotov, Sergey; Křížek, Michal 20 2012 How to generate local refinements of unstructured tetrahedral meshes satisfying a regularity ball condition. Zbl 0879.65078Křížek, Michal; Strouboulis, Theofanis 19 1997 Acute type refinements of tetrahedral partitions of polyhedral domains. Zbl 1069.65017Korotov, Sergey; Křížek, Michal 18 2001 On symmetric digraphs of the congruence \(x^k \equiv y \pmod n\). Zbl 1208.05041Somer, Lawrence; Křížek, Michal 16 2009 Dissection of the path-simplex in \(\mathbb {R}^n\) into \(n\) path-subsimplices. Zbl 1112.51006Brandts, Jan; Korotov, Sergey; Křížek, Michal 16 2007 Second-order optimality conditions for nondominated solutions of multiobjective programming with \(C^{1,1}\) data. Zbl 0995.90085Liu, Liping; Neittaanmäki, Pekka; Křížek, Michal 15 2000 17 lectures on Fermat numbers. From number theory to geometry. With a foreword by Alena Šolcová. Zbl 1010.11002Křížek, Michal; Luca, Florian; Somer, Lawrence 14 2001 On a comparison principle for a quasilinear elliptic boundary value problem of a nonmonotone type. Zbl 0858.35008Křížek, Michal; Liu, Liping 13 1996 On the equivalence of ball conditions for simplicial finite elements in \(\mathbf R^d\). Zbl 1173.52301Brandts, Jan; Korotov, Sergey; Křížek, Michal 13 2009 On the validity of Friedrichs’ inequalities. Zbl 0555.35003Křížek, Michal; Neittaanmäki, Pekka 13 1984 History and future of superconvergence in three-dimensional finite element methods. Zbl 0994.65114Brandts, Jan; Křížek, Michal 13 2001 Superconvergence of tetrahedral quadratic finite elements. Zbl 1072.65137Brandts, Jan; Křížek, Michal 13 2005 Red refinements of simplices into congruent subsimplices. Zbl 1368.65249Korotov, Sergey; Křížek, Michal 13 2014 Structure of digraphs associated with quadratic congruences with composite moduli. Zbl 1161.05323Somer, Lawrence; Křížek, Michal 13 2006 On a superconvergent finite element scheme for elliptic systems. I. Dirichlet boundary condition. Zbl 0622.65097Hlaváček, Ivan; Křížek, Michal 12 1987 Higher order finite element approximation of a quasilinear elliptic boundary value problem of a non-monotone type. Zbl 0870.65096Liu, Liping; Křížek, Michal; Neittaanmäki, Pekka 12 1996 Global and local refinement techniques yielding nonobtuse tetrahedral partitions. Zbl 1086.65116Korotov, S.; Křížek, M. 11 2005 An equilibrium finite element method in three-dimensional elasticity. Zbl 0488.73072Krizek, Michal 11 1982 Finite element methods. Superconvergence, post-processing, and a posteriori estimates. 1st conference, University of Jyväskylä, Finland. Zbl 0884.00048 11 1998 The second order optimality conditions for nonlinear mathematical programming with \(C^{1,1}\) data. Zbl 0903.90152Liu, L.; Křížek, M. 11 1997 Conforming equilibrium finite element methods for some elliptic plane problems. Zbl 0541.76003Křížek, Michal 10 1983 Generalization of the Zlamal condition for simplicial finite elements in \(\mathbb {R}^{d}\). Zbl 1240.65327Brandts, Jan; Korotov, Sergey; Křížek, Michal 9 2011 On the maximum and comparison principles for a steady-state nonlinear heat conduction problem. Zbl 1030.35061Křížek, Michal; Liu, Liping 9 2003 Simplicial finite elements in higher dimensions. Zbl 1164.65493Brandts, Jan; Korotov, Sergey; Křížek, Michal 8 2007 An analysis of finite element variational crimes for a nonlinear elliptic problem of nonmonotone type. Zbl 0835.65128Feistauer, Miloslav; Křížek, M.; Sobotíková, Veronika 8 1993 On angle conditions in the finite element method. Zbl 1242.65235Brandts, Jan H.; Hannukainen, Antti; Korotov, Sergey; Křížek, Michal 8 2011 Local nonobtuse tetrahedral refinements of a cube. Zbl 1046.65106Korotov, S.; Křížek, M. 8 2003 On time-harmonic Maxwell equations with nonhomogeneous conductivities: Solvability and FE-approximation. Zbl 0696.65085Křížek, Michal; Neittaanmäki, Pekka 8 1989 Global superconvergence and a posteriori error estimators of the finite element method for a quasi-linear elliptic boundary value problem of nonmonotone type. Zbl 1089.65118Liu, Liping; Liu, Tang; Krízek, Michal; Lin, Tao; Zhang, Shuhua 8 2004 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 On the convergence of series of reciprocals of primes related to the Fermat numbers. Zbl 1026.11011Křížek, Michal; Luca, Florian; Somer, Lawrence 6 2002 Two-sided bounds of the discretization error for finite elements. Zbl 1269.65113Křížek, Michal; Roos, Hans-Goerg; Chen, Wei 6 2011 Internal finite element approximations in the dual variational method for second order elliptic problems with curved boundaries. Zbl 0543.65074Hlaváček, Ivan; Křížek, Michal 6 1984 Superconvergence phenomena on three-dimensional meshes. Zbl 1071.65139Křížek, Michal 6 2005 Bibliography on superconvergence. Zbl 0902.65001Křížek, Michal; Neittaanmäki, Pekka 6 1998 On Synge-type angle condition for \(d\)-simplices. Zbl 1424.65220Hannukainen, Antti; Korotov, Sergey; Křížek, Michal 6 2017 There is no face-to-face partition of \(R^5\) into acute simplices. Zbl 1103.52008Křížek, Michal 6 2006 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 The structure of digraphs associated with the congruence \(x^k\equiv y \pmod n\). Zbl 1249.11006Somer, L.; Křížek, M. 5 2011 On the solutions of the congruence \(n^{2}\equiv 1\pmod {\varphi^{2}(n)}\). Zbl 0998.11004Luca, Florian; Krizek, Michal 5 2001 Dual finite element analysis of three-dimensional axisymmetric elliptic problems. I. Zbl 0786.65089Hlaváček, Ivan; Křížek, Michal 5 1993 Nonobtuse tetrahedral partitions. Zbl 0957.65012Křížek, Michal; Pradlová, Jana 5 2000 Nonobtuse local tetrahedral refinements towards a polygonal face/interface. Zbl 1214.65051Korotov, Sergey; Křížek, Michal 4 2011 On semiregular digraphs of the congruence \(x^k\equiv y\pmod n\). Zbl 1174.05058Somer, Lawrence; Křížek, Michal 4 2007 Finite element approximation of a nonlinear heat conduction problem in anisotropic media. Zbl 0959.74067Křížek, M.; Liu, L. 4 1998 Finite element analysis of variational crimes for a quasilinear elliptic problem in 3D. Zbl 0948.65129Korotov, Sergey; Křížek, Michal 4 2000 Finite element methods. 50 years of the Courant element. Conference held at the Univ. of Jyväskylä, Finland, 1993. Zbl 0802.00026 4 1994 Prime Lehmer and Lucas numbers with composite indices. Zbl 1291.11044Somer, Lawrence; Křížek, Michal 3 2013 Superconvergence phenomena in the finite element method. Zbl 0820.65071Křížek, Michal 3 1994 On moduli for which certain second-order linear recurrences contain a complete system of residues modulo \(m\). Zbl 1401.11049Somer, Lawrence; Křížek, Michal 3 2017 Local nonobtuse tetrahedral refinements around an edge. Zbl 1288.65175Korotov, Sergey; Křížek, Michal 3 2013 On symmetric pyramidal finite elements. Zbl 1041.65098Liu, Liping; Davies, Kevin B.; Yuan, Kewei; Křížek, Michal 3 2004 A nodal superconvergence arising from combination of linear and bilinear elements. Zbl 0726.65122Křížek, Michal; Lin, Qun; Huang, Yunqing 3 1988 The strengthened Cauchy-bunyakowski-Schwarz inequality for \(n\)-simplicial linear finite elements. Zbl 1118.65384Brandts, Jan; Korotov, Sergey; Křížek, Michal 3 2005 How to recover the gradient of linear elements on nonuniform triangulations. Zbl 0870.65093Hlaváček, Ivan; Křížek, Michal; Pištora, Vladislav 3 1996 On a superconvergent finite element scheme for elliptic systems. II: Boundary conditions of Newton’s or Neumann’s type. Zbl 0636.65115Hlaváček, Ivan; Křížek, Michal 3 1987 A necessary and sufficient condition for the primality of Fermat numbers. Zbl 0993.11002Křížek, Michal; Somer, Lawrence 3 2001 Mathematical and numerical modelling in electrical engineering. Theory and practice. Zbl 0859.65128Křížek, Michal; Neittaanmäki, Pekka 3 1997 Optimal interior and local error estimates of a recovered gradient of linear elements on nonuniform triangulations. Zbl 0861.65091Hlaváček, I.; Křížek, M. 3 1996 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 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 Weight minimization of elastic bodies under weakly supporting tension. I: Domains with one curved side. Zbl 0767.73047Hlaváček, Ivan; Křížek, Michal 2 1992 Numerical approximation of a nonlinear 3D heat radiation problem. Zbl 1262.65177Liu, Liping; Huang, Min; Yuan, Kewei; Krizek, Michal 2 2009 Solvability of a first order system in three-dimensional non-smooth domains. Zbl 0593.35073Křížek, Michal; Neittaanmäki, Pekka 2 1985 Finite element approximation for a div-rot system with mixed boundary conditions in non-smooth plane domains. Zbl 0575.65125Křižek, Michal; Neittaanmäki, Pekka 2 1984 Finite element analysis of a nonlinear elliptic problem with a pure radiation condition. Zbl 0953.65081Křížek, Michael; Liu, Liping; Neittaanmäki, Pekka 2 1999 On a superconvergent finite element scheme for elliptic systems. III. Optimal interior estimates. Zbl 0636.65116Hlaváček, Ivan; Křížek, Michal 2 1987 Sophie Germain little suns. Zbl 1108.11002Křížek, Michal; Somer, Lawrence 2 2004 Higher order global accuracy of a weighted averaged gradient of the Courant elements on irregular meshes. Zbl 0837.65121Křížek, Michal 2 1994 Finite element analysis of a radiation heat transfer problem. Zbl 0919.65067Liu, Liping; Křízek, Michal 2 1998 Excessive extrapolations in cosmology. Zbl 1353.83034Křížek, M.; Somer, L. 2 2016 Does a gravitational aberration contribute to the accelerated expansion of the Universe? Zbl 1364.83065Krizek, Michal 2 2009 Fixed points and upper bounds for the rank of appearance in Lucas sequences. Zbl 1352.11024Somer, Lawrence; Křížek, Michal 2 2013 Maximum angle condition for \(n\)-dimensional simplicial elements. Zbl 1427.65363Hannukainen, Antti; Korotov, Sergey; Křížek, Michal 1 2018 Erratum to: There is no face-to-face partition of \(R ^{5}\) into acute simplices. Zbl 1198.52012Křížek, M. 1 2010 On a bisection algorithm that produces conforming locally refined simplicial meshes. Zbl 1280.65135Hannukainen, Antti; Korotov, Sergey; Křížek, Michal 1 2010 Conforming FE-method for obtaining the gradient of a solution to the Poisson equation. Zbl 0549.65071Neittaanmäki, P.; Křižek, M. 1 1984 What is the smallest possible constant in Céa’s lemma? Zbl 1164.65495Chen, Wei; Křížek, Michal 1 2006 On the complexity of testing elite primes. Zbl 1226.11013Křížek, Michal; Luca, Florian; Shparlinski, Igor E.; Somer, Lawrence 1 2011 A nontraditional approach for solving the Neumann problem by the finite element method. Zbl 0771.65070Křížek, Michal; Neittaanmäki, Pekka; Vondrák, Miroslav 1 1992 Weight minimization of elastic bodies under weakly supporting tension. II: Domains with two curved sides. Zbl 0767.73048Hlaváček, Ivan; Křížek, Michal 1 1992 Finite element analysis of variational crimes for a nonlinear heat conduction problem in three-dimensional space. Zbl 0968.65069Korotov, Sergey; Křížek, Michal 1 1998 Curved affine quadratic finite elements. Zbl 0853.65118Koukal, Stanislav; Křížek, Michal 1 1995 From great discoveries in number theory to applications. Zbl 1486.11001Křížek, Michal; Somer, Lawrence; Šolcová, Alena 1 2021 Simplicial partitions with applications to the finite element method. Zbl 1453.65003Brandts, Jan; Korotov, Sergey; Křížek, Michal 5 2020 Duality of isosceles tetrahedra. Zbl 1430.51027Brandts, Jan; Křížek, Michal 1 2019 Maximum angle condition for \(n\)-dimensional simplicial elements. Zbl 1427.65363Hannukainen, Antti; Korotov, Sergey; Křížek, Michal 1 2018 Nondefective integers with respect to certain Lucas sequences of the second kind. Zbl 1412.11025Somer, Lawrence; Křížek, Michal 1 2018 On Synge-type angle condition for \(d\)-simplices. Zbl 1424.65220Hannukainen, Antti; Korotov, Sergey; Křížek, Michal 6 2017 On moduli for which certain second-order linear recurrences contain a complete system of residues modulo \(m\). Zbl 1401.11049Somer, Lawrence; Křížek, Michal 3 2017 Excessive extrapolations in cosmology. Zbl 1353.83034Křížek, M.; Somer, L. 2 2016 Factorization of cp-rank-\(3\) completely positive matrices. Zbl 1413.15020Brandts, Jan; Křížek, Michal 1 2016 Identically distributed second-order linear recurrences modulo \(p\). Zbl 1397.11047Somer, Lawrence; Křížek, Michal 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 Why quintic polynomial equations are not solvable in radicals. Zbl 1374.12005Křížek, Michal; Somer, Lawrence 1 2015 Red refinements of simplices into congruent subsimplices. Zbl 1368.65249Korotov, Sergey; Křížek, Michal 13 2014 Prime Lehmer and Lucas numbers with composite indices. Zbl 1291.11044Somer, Lawrence; Křížek, Michal 3 2013 Local nonobtuse tetrahedral refinements around an edge. Zbl 1288.65175Korotov, Sergey; Křížek, Michal 3 2013 Fixed points and upper bounds for the rank of appearance in Lucas sequences. Zbl 1352.11024Somer, Lawrence; Křížek, Michal 2 2013 On conforming tetrahedralisations of prismatic partitions. Zbl 1317.65063Korotov, Sergey; Křížek, Michal 1 2013 There are only two nonobtuse binary triangulations of the unit \(n\)-cube. Zbl 1261.65020Brandts, Jan; Dijkhuis, Sander; de Haan, Vincent; 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 20 2012 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 Two-sided bounds of the discretization error for finite elements. Zbl 1269.65113Křížek, Michal; Roos, Hans-Goerg; Chen, Wei 6 2011 The structure of digraphs associated with the congruence \(x^k\equiv y \pmod n\). Zbl 1249.11006Somer, L.; Křížek, M. 5 2011 Nonobtuse local tetrahedral refinements towards a polygonal face/interface. Zbl 1214.65051Korotov, Sergey; Křížek, Michal 4 2011 On the complexity of testing elite primes. Zbl 1226.11013Křížek, Michal; Luca, Florian; Shparlinski, Igor E.; Somer, Lawrence 1 2011 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 Erratum to: There is no face-to-face partition of \(R ^{5}\) into acute simplices. Zbl 1198.52012Křížek, M. 1 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 symmetric digraphs of the congruence \(x^k \equiv y \pmod n\). Zbl 1208.05041Somer, Lawrence; Křížek, Michal 16 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 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 Numerical approximation of a nonlinear 3D heat radiation problem. Zbl 1262.65177Liu, Liping; Huang, Min; Yuan, Kewei; Krizek, Michal 2 2009 Does a gravitational aberration contribute to the accelerated expansion of the Universe? Zbl 1364.83065Krizek, Michal 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 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 Simplicial finite elements in higher dimensions. Zbl 1164.65493Brandts, Jan; Korotov, Sergey; Křížek, Michal 8 2007 On semiregular digraphs of the congruence \(x^k\equiv y\pmod n\). Zbl 1174.05058Somer, Lawrence; Křížek, Michal 4 2007 The latent linear algebra in the web search engine Google. Zbl 1265.68014Brandts, Jan; Křížek, Michal 1 2007 Structure of digraphs associated with quadratic congruences with composite moduli. Zbl 1161.05323Somer, Lawrence; Křížek, Michal 13 2006 There is no face-to-face partition of \(R^5\) into acute simplices. Zbl 1103.52008Křížek, Michal 6 2006 What is the smallest possible constant in Céa’s lemma? Zbl 1164.65495Chen, Wei; Křížek, Michal 1 2006 Superconvergence of tetrahedral quadratic finite elements. Zbl 1072.65137Brandts, Jan; Křížek, Michal 13 2005 Global and local refinement techniques yielding nonobtuse tetrahedral partitions. Zbl 1086.65116Korotov, S.; Křížek, M. 11 2005 Superconvergence phenomena on three-dimensional meshes. Zbl 1071.65139Křížek, Michal 6 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 On a connection of number theory with graph theory. Zbl 1080.11004Somer, Lawrence; Křížek, Michal 26 2004 Global superconvergence and a posteriori error estimators of the finite element method for a quasi-linear elliptic boundary value problem of nonmonotone type. Zbl 1089.65118Liu, Liping; Liu, Tang; Krízek, Michal; Lin, Tao; Zhang, Shuhua 8 2004 On symmetric pyramidal finite elements. Zbl 1041.65098Liu, Liping; Davies, Kevin B.; Yuan, Kewei; Křížek, Michal 3 2004 Sophie Germain little suns. Zbl 1108.11002Křížek, Michal; Somer, Lawrence 2 2004 Conjugate gradient algorithms and finite element methods. Zbl 1059.65001 1 2004 Acute versus nonobtuse tetrahedralizations. Zbl 1069.65133Křížek, Michal; Šolc, Jakub 1 2004 Gradient superconvergence on uniform simplicial partitions of polytopes. Zbl 1042.65081Brandts, Jan; Křížek, Michal 39 2003 On the maximum and comparison principles for a steady-state nonlinear heat conduction problem. Zbl 1030.35061Křížek, Michal; Liu, Liping 9 2003 Local nonobtuse tetrahedral refinements of a cube. Zbl 1046.65106Korotov, S.; Křížek, M. 8 2003 On the convergence of series of reciprocals of primes related to the Fermat numbers. Zbl 1026.11011Křížek, Michal; Luca, Florian; Somer, Lawrence 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 17 lectures on Fermat numbers. From number theory to geometry. With a foreword by Alena Šolcová. Zbl 1010.11002Křížek, Michal; Luca, Florian; Somer, Lawrence 14 2001 History and future of superconvergence in three-dimensional finite element methods. Zbl 0994.65114Brandts, Jan; Křížek, Michal 13 2001 On the solutions of the congruence \(n^{2}\equiv 1\pmod {\varphi^{2}(n)}\). Zbl 0998.11004Luca, Florian; Krizek, Michal 5 2001 A necessary and sufficient condition for the primality of Fermat numbers. Zbl 0993.11002Křížek, Michal; Somer, Lawrence 3 2001 Second-order optimality conditions for nondominated solutions of multiobjective programming with \(C^{1,1}\) data. Zbl 0995.90085Liu, Liping; Neittaanmäki, Pekka; Křížek, Michal 15 2000 Nonobtuse tetrahedral partitions. Zbl 0957.65012Křížek, Michal; Pradlová, Jana 5 2000 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 of a nonlinear elliptic problem with a pure radiation condition. Zbl 0953.65081Křížek, Michael; Liu, Liping; Neittaanmäki, Pekka 2 1999 Finite element methods. Superconvergence, post-processing, and a posteriori estimates. 1st conference, University of Jyväskylä, Finland. Zbl 0884.00048 11 1998 Bibliography on superconvergence. Zbl 0902.65001Křížek, Michal; Neittaanmäki, Pekka 6 1998 Finite element approximation of a nonlinear heat conduction problem in anisotropic media. Zbl 0959.74067Křížek, M.; Liu, L. 4 1998 Finite element analysis of a radiation heat transfer problem. Zbl 0919.65067Liu, Liping; Křízek, Michal 2 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 Conforming finite element method for the Navier-Stokes problem. Zbl 0986.76042Křížek, Michal; Liu, Liping 1 1998 How to generate local refinements of unstructured tetrahedral meshes satisfying a regularity ball condition. Zbl 0879.65078Křížek, Michal; Strouboulis, Theofanis 19 1997 The second order optimality conditions for nonlinear mathematical programming with \(C^{1,1}\) data. Zbl 0903.90152Liu, L.; Křížek, M. 11 1997 Mathematical and numerical modelling in electrical engineering. Theory and practice. Zbl 0859.65128Křížek, Michal; Neittaanmäki, Pekka 3 1997 On a comparison principle for a quasilinear elliptic boundary value problem of a nonmonotone type. Zbl 0858.35008Křížek, Michal; Liu, Liping 13 1996 Higher order finite element approximation of a quasilinear elliptic boundary value problem of a non-monotone type. Zbl 0870.65096Liu, Liping; Křížek, Michal; Neittaanmäki, Pekka 12 1996 How to recover the gradient of linear elements on nonuniform triangulations. Zbl 0870.65093Hlaváček, Ivan; Křížek, Michal; Pištora, Vladislav 3 1996 Optimal interior and local error estimates of a recovered gradient of linear elements on nonuniform triangulations. Zbl 0861.65091Hlaváček, I.; Křížek, M. 3 1996 On diagonal dominance of stiffness matrices in 3D. Zbl 0824.65112Křížek, M.; Qun, L. 36 1995 Curved affine quadratic finite elements. Zbl 0853.65118Koukal, Stanislav; Křížek, Michal 1 1995 Numerical experience with the three-body problem. Zbl 0851.70002Křížek, Michal 1 1995 On Galerkin approximations of a quasilinear nonpotential elliptic problem of a nonmonotone type. Zbl 0802.65113Hlaváček, Ivan; Křížek, Michal; Malý, Jan 41 1994 Finite element methods. 50 years of the Courant element. Conference held at the Univ. of Jyväskylä, Finland, 1993. Zbl 0802.00026 4 1994 Superconvergence phenomena in the finite element method. Zbl 0820.65071Křížek, Michal 3 1994 Higher order global accuracy of a weighted averaged gradient of the Courant elements on irregular meshes. Zbl 0837.65121Křížek, Michal 2 1994 On an unconventional variational method for solving the problem of linear elasticity with Neumann or periodic boundary conditions. Zbl 0798.73077Křížek, Michal; Milka, Zdeněk 1 1994 On the preconditioned biconjugate gradients for solving linear complex equations arising from finite elements. Zbl 0802.65039Křížek, Michal; Mlýnek, Jaroslav 1 1994 A note on factorization of the Fermat numbers and their factors of the form \(3h2^ n+1\). Zbl 0822.11007Křížek, Michal; Chleboun, Jan 1 1994 An analysis of finite element variational crimes for a nonlinear elliptic problem of nonmonotone type. Zbl 0835.65128Feistauer, Miloslav; Křížek, M.; Sobotíková, Veronika 8 1993 Dual finite element analysis of three-dimensional axisymmetric elliptic problems. I. Zbl 0786.65089Hlaváček, Ivan; Křížek, Michal 5 1993 On the maximum angle condition for linear tetrahedral elements. Zbl 0755.41003Křížek, Michal 56 1992 Weight minimization of elastic bodies under weakly supporting tension. I: Domains with one curved side. Zbl 0767.73047Hlaváček, Ivan; Křížek, Michal 2 1992 A nontraditional approach for solving the Neumann problem by the finite element method. Zbl 0771.65070Křížek, Michal; Neittaanmäki, Pekka; Vondrák, Miroslav 1 1992 Weight minimization of elastic bodies under weakly supporting tension. II: Domains with two curved sides. Zbl 0767.73048Hlaváček, Ivan; Křížek, Michal 1 1992 ...and 20 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 753 Authors 60 Křížek, Michal 47 Korotov, Sergey 20 Hlaváček, Ivan 17 Li, Zi-Cai 15 Zhang, Zhimin 13 Brandts, Jan H. 13 Neittaanmäki, Pekka J. 12 Vejchodský, Tomáš 11 Lin, Qun 10 Somer, Lawrence E. 10 Zhu, Qiding 9 Huang, Hung-Tsai 9 Liu, Jinghong 8 Amosov, Andreĭ Avenirovich 8 Karátson, János 8 Kobayashi, Kenta 8 Mao, Shipeng 8 Tsuchiya, Takuya 8 Vatne, Jon Eivind 8 Walker, Shawn W. 7 Plaza, Ángel 6 Bi, Chunjia 6 Casas, Eduardo 6 Deng, Guixin 6 Ginchev, Ivan G. 6 Hannukainen, Antti 6 He, Wenming 6 Huang, Weizhang 6 Li, Yonghai 6 Luca, Florian 6 Perotto, Simona 6 Svyatsky, Daniil 6 Todorov, Todor Dimitrov 6 Yuan, Guangwei 5 Babuška, Ivo 5 Durán, Ricardo G. 5 Fang, Qing 5 Faragó, István 5 Guerraggio, Angelo 5 Lin, Yanping 5 Micheletti, Stefano 5 Monk, Peter B. 5 Petrov, Miroslav S. 5 Sheng, Zhiqiang 5 Wei, Yangjiang 5 Yang, Ying 5 Zhou, Aihui 4 Abdulle, Assyr 4 Ahmad, Uzma 4 Apel, Thomas 4 Baĭdakova, Natalia Vasil’evna 4 Carey, Graham Francis 4 Chen, Long 4 Chen, Shaochun 4 Du, Qiang 4 Gillette, Andrew 4 Horváth, Robert A. 4 Hošek, Radim 4 Huang, Yunqing 4 Ishizaka, Hiroki 4 Khademi, Ali 4 Lazarov, Raytcho D. 4 Li, Xianping 4 Lipnikov, Konstantin N. 4 Liu, Liping 4 Manzini, Gianmarco 4 Meemark, Yotsanan 4 Nicaise, Serge 4 Rocca, Matteo 4 Šolín, Pavel 4 Strouboulis, Theofanis 4 Tang, Gaohua 4 Tuan, Nguyen Dinh 4 Vassilevski, Yuri V. 4 Wang, Cheng 4 Yan, Ningning 4 Zhang, Shuhua 3 Ainsworth, Mark 3 Alonso Rodríguez, Ana 3 Auricchio, Ferdinando 3 Beilina, Larisa 3 Burman, Erik 3 Cao, Shuhao 3 Cao, Waixiang 3 Chleboun, Jan 3 Chow, Sum S. 3 Cihangir, Apo 3 Du, Qikui 3 Ern, Alexandre 3 Ginting, Victor 3 Guo, Liming 3 Houston, Paul 3 Hu, Hsin-Yun 3 Lefieux, Adrien 3 Li, Hengguang 3 Li, Jichun 3 Li, Likang 3 Lin, Runchang 3 Mackerle, Jaroslav 3 Nan, Jizhu ...and 653 more Authors all top 5 Cited in 150 Serials 58 Applications of Mathematics 37 Journal of Computational and Applied Mathematics 32 Computer Methods in Applied Mechanics and Engineering 30 Mathematics of Computation 28 Numerische Mathematik 25 Computers & Mathematics with Applications 24 Journal of Computational Physics 22 Applied Numerical Mathematics 19 Numerical Methods for Partial Differential Equations 15 Aplikace Matematiky 12 Applied Mathematics and Computation 12 Czechoslovak Mathematical Journal 12 Journal of Scientific Computing 9 Journal of Mathematical Analysis and Applications 9 Advances in Computational Mathematics 8 Mathematics and Computers in Simulation 8 Numerical Algorithms 8 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 7 Applied Mathematics Letters 6 Numerical Functional Analysis and Optimization 6 Communications in Numerical Methods in Engineering 6 Journal of Mathematical Sciences (New York) 5 International Journal for Numerical Methods in Engineering 5 RAIRO. Modélisation Mathématique et Analyse Numérique 5 Japan Journal of Industrial and Applied Mathematics 4 SIAM Journal on Numerical Analysis 4 International Journal of Computational Geometry & Applications 4 Applied Mathematical Modelling 4 SIAM Journal on Scientific Computing 4 Gravitation & Cosmology 4 Central European Journal of Mathematics 4 Advances in Applied Mathematics and Mechanics 3 Discrete Mathematics 3 International Journal for Numerical Methods in Fluids 3 Computing 3 Journal of Number Theory 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Acta Applicandae Mathematicae 3 Discrete & Computational Geometry 3 Computational Geometry 3 M\(^3\)AS. 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Series B 2 Algebra Colloquium 2 Finite Fields and their Applications 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Journal of Integer Sequences 2 Acta Mathematica Sinica. English Series 2 Integers 2 Journal of Systems Science and Complexity 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Journal of Mathematics 2 Nonlinear Analysis. Theory, Methods & Applications 2 AIMS Mathematics 1 Applicable Analysis 1 Information Processing Letters 1 Israel Journal of Mathematics 1 Letters in Mathematical Physics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 1 Applied Mathematics and Optimization 1 Journal of Approximation Theory 1 Journal of Combinatorial Theory. Series B 1 Journal of Differential Equations 1 Journal of Geometry 1 Journal of Pure and Applied Algebra 1 Opsearch 1 Programming and Computer Software 1 Quarterly of Applied Mathematics 1 RAIRO. Analyse Numérique 1 Transactions of the American Mathematical Society 1 European Journal of Combinatorics 1 Mathematica Numerica Sinica 1 Combinatorica 1 Acta Mathematica Hungarica 1 Journal of Computational Mathematics 1 COMPEL ...and 50 more Serials all top 5 Cited in 46 Fields 461 Numerical analysis (65-XX) 289 Partial differential equations (35-XX) 53 Number theory (11-XX) 48 Mechanics of deformable solids (74-XX) 43 Fluid mechanics (76-XX) 36 Combinatorics (05-XX) 33 Calculus of variations and optimal control; optimization (49-XX) 30 Optics, electromagnetic theory (78-XX) 26 Operations research, mathematical programming (90-XX) 16 Approximations and expansions (41-XX) 16 Geometry (51-XX) 15 Convex and discrete geometry (52-XX) 12 Ordinary differential equations (34-XX) 10 Classical thermodynamics, heat transfer (80-XX) 9 Group theory and generalizations (20-XX) 8 Computer science (68-XX) 7 Operator theory (47-XX) 6 Commutative algebra (13-XX) 6 Real functions (26-XX) 6 Integral equations (45-XX) 5 Potential theory (31-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Statistical mechanics, structure of matter (82-XX) 5 Biology and other natural sciences (92-XX) 4 Relativity and gravitational theory (83-XX) 4 Systems theory; control (93-XX) 3 History and biography (01-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Difference and functional equations (39-XX) 3 Probability theory and stochastic processes (60-XX) 3 Mechanics of particles and systems (70-XX) 3 Astronomy and astrophysics (85-XX) 2 Functions of a complex variable (30-XX) 2 Special functions (33-XX) 2 Functional analysis (46-XX) 2 Manifolds and cell complexes (57-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Statistics (62-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Mathematical logic and foundations (03-XX) 1 Algebraic geometry (14-XX) 1 Integral transforms, operational calculus (44-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Geophysics (86-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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