## Křížek, Michal

Compute Distance To:
 Author ID: krizek.michal Published as: Křížek, Michal; Křížek, M.; Krizek, Michal; Křižek, M.; Křižek, Michal; Křížek, Michael; Krízek, Michal; Křízek, Michal; Křížek, M Homepage: https://users.math.cas.cz/~krizek/ External Links: MGP · Wikidata · Math-Net.Ru · dblp · IdRef
 Documents Indexed: 195 Publications since 1982, including 7 Books 7 Contributions as Editor · 1 Further Contribution Reviewing Activity: 47 Reviews Biographic References: 2 Publications Co-Authors: 55 Co-Authors with 168 Joint Publications 1,972 Co-Co-Authors
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### Co-Authors

 31 single-authored 40 Korotov, Sergey 38 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 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 Huang, Min 1 Huang, Yunqing 1 Karátson, János 1 Katrnoška, František 1 Koukal, Stanislav 1 Krizek, Pavel 1 Lin, Qun 1 Lin, Tao 1 Liping, L. 1 Litvinov, V. G. 1 Liu, Tang 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
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### Serials

 24 Pokroky Matematiky, Fyziky & Astronomie 21 Applications of Mathematics 11 The Fibonacci Quarterly 9 Aplikace Matematiky 5 Journal of Computational Mathematics 4 Journal of Computational and Applied Mathematics 4 Numerical Methods for Partial Differential Equations 4 Applied Mathematics Letters 3 Computers & Mathematics with Applications 3 Czechoslovak Mathematical Journal 3 Numerische Mathematik 3 SIAM Journal on Numerical Analysis 3 Mathematica Bohemica 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 Gravitation & Cosmology 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 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
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### Fields

 113 Numerical analysis (65-XX) 61 Partial differential equations (35-XX) 37 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) 5 Optics, electromagnetic theory (78-XX) 5 Relativity and gravitational theory (83-XX) 4 Approximations and expansions (41-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Group theory and generalizations (20-XX) 2 Differential geometry (53-XX) 2 Astronomy and astrophysics (85-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 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX)

### Citations contained in zbMATH Open

119 Publications have been cited 1,088 times in 606 Documents Cited by Year
On superconvergence techniques. Zbl 0624.65107
Křížek, Michal; Neittaanmäki, Pekka
1987
On the maximum angle condition for linear tetrahedral elements. Zbl 0755.41003
Křížek, Michal
1992
Weakened acute type condition for tetrahedral triangulations and the discrete maximum principle. Zbl 1001.65125
Korotov, Sergey; Křížek, Michal; Neittaanmäki, Pekka
2001
Superconvergence phenomenon in the finite element method arising from averaging gradients. Zbl 0575.65104
Křížek, Michal; Neittaanmäki, Pekka
1984
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 Galerkin approximations of a quasilinear nonpotential elliptic problem of a nonmonotone type. Zbl 0802.65113
Hlaváček, Ivan; Křížek, Michal; Malý, Jan
1994
Gradient superconvergence on uniform simplicial partitions of polytopes. Zbl 1042.65081
Brandts, Jan; Křížek, Michal
2003
On a global superconvergence of the gradient of linear triangular elements. Zbl 0602.65084
Křížek, M.; Neittaanmäki, P.
1987
On diagonal dominance of stiffness matrices in 3D. Zbl 0824.65112
Křížek, M.; Qun, L.
1995
On semiregular families of triangulations and linear interpolation. Zbl 0728.41003
Křížek, Michal
1991
On discrete maximum principles for nonlinear elliptic problems. Zbl 1142.65093
Karátson, János; Korotov, Sergey; Křížek, Michal
2007
Finite element approximation of variational problems and applications. Zbl 0708.65106
Křížek, M; Neittaanmäki, P.
1990
On a connection of number theory with graph theory. Zbl 1080.11004
Somer, Lawrence; Křížek, Michal
2004
On the equivalence of regularity criteria for triangular and tetrahedral finite element partitions. Zbl 1142.65443
Brandts, Jan; Korotov, Sergey; Křížek, Michal
2008
Acute type refinements of tetrahedral partitions of polyhedral domains. Zbl 1069.65017
Korotov, Sergey; Křížek, Michal
2001
How to generate local refinements of unstructured tetrahedral meshes satisfying a regularity ball condition. Zbl 0879.65078
Křížek, Michal; Strouboulis, Theofanis
1997
The maximum angle condition is not necessary for convergence of the finite element method. Zbl 1255.65196
Hannukainen, Antti; Korotov, Sergey; Křížek, Michal
2012
On symmetric digraphs of the congruence $$x^k \equiv y \pmod n$$. Zbl 1208.05041
Somer, Lawrence; Křížek, Michal
2009
Dissection of the path-simplex in $$\mathbb {R}^n$$ into $$n$$ path-subsimplices. Zbl 1112.51006
Brandts, Jan; Korotov, Sergey; Křížek, Michal
2007
Second-order optimality conditions for nondominated solutions of multiobjective programming with $$C^{1,1}$$ data. Zbl 0995.90085
Liu, Liping; Neittaanmäki, Pekka; Křížek, Michal
2000
17 lectures on Fermat numbers. From number theory to geometry. With a foreword by Alena Šolcová. Zbl 1010.11002
Křížek, Michal; Luca, Florian; Somer, Lawrence
2001
On the validity of Friedrichs’ inequalities. Zbl 0555.35003
Křížek, Michal; Neittaanmäki, Pekka
1984
On the equivalence of ball conditions for simplicial finite elements in $$\mathbf R^d$$. Zbl 1173.52301
Brandts, Jan; Korotov, Sergey; Křížek, Michal
2009
Superconvergence of tetrahedral quadratic finite elements. Zbl 1072.65137
Brandts, Jan; Křížek, Michal
2005
History and future of superconvergence in three-dimensional finite element methods. Zbl 0994.65114
Brandts, Jan; Křížek, Michal
2001
On a superconvergent finite element scheme for elliptic systems. I. Dirichlet boundary condition. Zbl 0622.65097
Hlaváček, Ivan; Křížek, Michal
1987
Structure of digraphs associated with quadratic congruences with composite moduli. Zbl 1161.05323
Somer, Lawrence; Křížek, Michal
2006
On a comparison principle for a quasilinear elliptic boundary value problem of a nonmonotone type. Zbl 0858.35008
Křížek, Michal; Liu, Liping
1996
Higher order finite element approximation of a quasilinear elliptic boundary value problem of a non-monotone type. Zbl 0870.65096
Liu, Liping; Křížek, Michal; Neittaanmäki, Pekka
1996
Finite element methods. Superconvergence, post-processing, and a posteriori estimates. 1st conference, University of Jyväskylä, Finland. Zbl 0884.00048
1998
The second order optimality conditions for nonlinear mathematical programming with $$C^{1,1}$$ data. Zbl 0903.90152
Liu, L.; Křížek, M.
1997
Global and local refinement techniques yielding nonobtuse tetrahedral partitions. Zbl 1086.65116
Korotov, S.; Křížek, M.
2005
Conforming equilibrium finite element methods for some elliptic plane problems. Zbl 0541.76003
Křížek, Michal
1983
On the maximum and comparison principles for a steady-state nonlinear heat conduction problem. Zbl 1030.35061
Křížek, Michal; Liu, Liping
2003
An equilibrium finite element method in three-dimensional elasticity. Zbl 0488.73072
Krizek, Michal
1982
Red refinements of simplices into congruent subsimplices. Zbl 1368.65249
Korotov, Sergey; Křížek, Michal
2014
Generalization of the Zlamal condition for simplicial finite elements in $$\mathbb {R}^{d}$$. Zbl 1240.65327
Brandts, Jan; Korotov, Sergey; Křížek, Michal
2011
Global superconvergence and a posteriori error estimators of the finite element method for a quasi-linear elliptic boundary value problem of nonmonotone type. Zbl 1089.65118
Liu, Liping; Liu, Tang; Krízek, Michal; Lin, Tao; Zhang, Shuhua
2004
Local nonobtuse tetrahedral refinements of a cube. Zbl 1046.65106
Korotov, S.; Křížek, M.
2003
On time-harmonic Maxwell equations with nonhomogeneous conductivities: Solvability and FE-approximation. Zbl 0696.65085
Křížek, Michal; Neittaanmäki, Pekka
1989
An analysis of finite element variational crimes for a nonlinear elliptic problem of nonmonotone type. Zbl 0835.65128
Feistauer, Miloslav; Křížek, M.; Sobotíková, Veronika
1993
On angle conditions in the finite element method. Zbl 1242.65235
Brandts, Jan H.; Hannukainen, Antti; Korotov, Sergey; Křížek, Michal
2011
Simplicial finite elements in higher dimensions. Zbl 1164.65493
Brandts, Jan; Korotov, Sergey; Křížek, Michal
2007
Superconvergence phenomena on three-dimensional meshes. Zbl 1071.65139
Křížek, Michal
2005
Bibliography on superconvergence. Zbl 0902.65001
Křížek, Michal; Neittaanmäki, Pekka
1998
Two-sided bounds of the discretization error for finite elements. Zbl 1269.65113
Křížek, Michal; Roos, Hans-Goerg; Chen, Wei
2011
Internal finite element approximations in the dual variational method for second order elliptic problems with curved boundaries. Zbl 0543.65074
Hlaváček, Ivan; Křížek, Michal
1984
On the convergence of series of reciprocals of primes related to the Fermat numbers. Zbl 1026.11011
Křížek, Michal; Luca, Florian; Somer, Lawrence
2002
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
There is no face-to-face partition of $$R^5$$ into acute simplices. Zbl 1103.52008
Křížek, Michal
2006
On Synge-type angle condition for $$d$$-simplices. Zbl 1424.65220
Hannukainen, Antti; Korotov, Sergey; Křížek, Michal
2017
Nonobtuse tetrahedral partitions. Zbl 0957.65012
Křížek, Michal; Pradlová, Jana
2000
Dual finite element analysis of three-dimensional axisymmetric elliptic problems. I. Zbl 0786.65089
Hlaváček, Ivan; Křížek, Michal
1993
The structure of digraphs associated with the congruence $$x^k\equiv y \pmod n$$. Zbl 1249.11006
Somer, L.; Křížek, M.
2011
Finite element approximation of a nonlinear heat conduction problem in anisotropic media. Zbl 0959.74067
Křížek, M.; Liu, L.
1998
Finite element analysis of variational crimes for a quasilinear elliptic problem in 3D. Zbl 0948.65129
Korotov, Sergey; Křížek, Michal
2000
Finite element methods. 50 years of the Courant element. Conference held at the Univ. of Jyväskylä, Finland, 1993. Zbl 0802.00026
1994
On semiregular digraphs of the congruence $$x^k\equiv y\pmod n$$. Zbl 1174.05058
Somer, Lawrence; Křížek, Michal
2007
Nonobtuse tetrahedral partitions that refine locally towards Fichera-like corners. Zbl 1099.65105
Beilina, Larisa; Korotov, Sergey; Křížek, Michal
2005
Nonobtuse local tetrahedral refinements towards a polygonal face/interface. Zbl 1214.65051
Korotov, Sergey; Křížek, Michal
2011
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
Mathematical and numerical modelling in electrical engineering. Theory and practice. Zbl 0859.65128
Křížek, Michal; Neittaanmäki, Pekka
1997
Optimal interior and local error estimates of a recovered gradient of linear elements on nonuniform triangulations. Zbl 0861.65091
Hlaváček, I.; Křížek, M.
1996
How to recover the gradient of linear elements on nonuniform triangulations. Zbl 0870.65093
Hlaváček, Ivan; Křížek, Michal; Pištora, Vladislav
1996
On symmetric pyramidal finite elements. Zbl 1041.65098
Liu, Liping; Davies, Kevin B.; Yuan, Kewei; Křížek, Michal
2004
Local nonobtuse tetrahedral refinements around an edge. Zbl 1288.65175
Korotov, Sergey; Křížek, Michal
2013
A necessary and sufficient condition for the primality of Fermat numbers. Zbl 0993.11002
Křížek, Michal; Somer, Lawrence
2001
On moduli for which certain second-order linear recurrences contain a complete system of residues modulo $$m$$. Zbl 1401.11049
Somer, Lawrence; Křížek, Michal
2017
A nodal superconvergence arising from combination of linear and bilinear elements. Zbl 0726.65122
Křížek, Michal; Lin, Qun; Huang, Yunqing
1988
The strengthened Cauchy-bunyakowski-Schwarz inequality for $$n$$-simplicial linear finite elements. Zbl 1118.65384
Brandts, Jan; Korotov, Sergey; Křížek, Michal
2005
On a superconvergent finite element scheme for elliptic systems. II: Boundary conditions of Newton’s or Neumann’s type. Zbl 0636.65115
Hlaváček, Ivan; Křížek, Michal
1987
Superconvergence phenomena in the finite element method. Zbl 0820.65071
Křížek, Michal
1994
Simplicial partitions with applications to the finite element method. Zbl 1453.65003
Brandts, Jan; Korotov, Sergey; Křížek, Michal
2020
Sophie Germain little suns. Zbl 1108.11002
Křížek, Michal; Somer, Lawrence
2004
Finite element analysis of a nonlinear elliptic problem with a pure radiation condition. Zbl 0953.65081
Křížek, Michael; Liu, Liping; Neittaanmäki, Pekka
1999
Prime Lehmer and Lucas numbers with composite indices. Zbl 1291.11044
Somer, Lawrence; Křížek, Michal
2013
Finite element analysis of a radiation heat transfer problem. Zbl 0919.65067
Liu, Liping; Křízek, Michal
1998
Numerical approximation of a nonlinear 3D heat radiation problem. Zbl 1262.65177
Liu, Liping; Huang, Min; Yuan, Kewei; Krizek, Michal
2009
On the solutions of the congruence $$n^{2}\equiv 1\pmod {\varphi^{2}(n)}$$. Zbl 0998.11004
Luca, Florian; Krizek, Michal
2001
Finite element approximation for a div-rot system with mixed boundary conditions in non-smooth plane domains. Zbl 0575.65125
Křižek, Michal; Neittaanmäki, Pekka
1984
Higher order global accuracy of a weighted averaged gradient of the Courant elements on irregular meshes. Zbl 0837.65121
Křížek, Michal
1994
Weight minimization of elastic bodies under weakly supporting tension. I: Domains with one curved side. Zbl 0767.73047
Hlaváček, Ivan; Křížek, Michal
1992
Solvability of a first order system in three-dimensional non-smooth domains. Zbl 0593.35073
Křížek, Michal; Neittaanmäki, Pekka
1985
On a superconvergent finite element scheme for elliptic systems. III. Optimal interior estimates. Zbl 0636.65116
Hlaváček, Ivan; Křížek, Michal
1987
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
Excessive extrapolations in cosmology. Zbl 1353.83034
Křížek, M.; Somer, L.
2016
Conjugate gradient algorithms and finite element methods. Zbl 1059.65001
2004
Acute versus nonobtuse tetrahedralizations. Zbl 1069.65133
Křížek, Michal; Šolc, Jakub
2004
Conforming finite element method for the Navier-Stokes problem. Zbl 0986.76042
Křížek, Michal; Liu, Liping
1998
Fixed points and upper bounds for the rank of appearance in Lucas sequences. Zbl 1352.11024
Somer, Lawrence; Křížek, Michal
2013
There are only two nonobtuse binary triangulations of the unit $$n$$-cube. Zbl 1261.65020
Brandts, Jan; Dijkhuis, Sander; de Haan, Vincent; Křížek, Michal
2013
The latent linear algebra in the web search engine Google. Zbl 1265.68014
Brandts, Jan; Křížek, Michal
2007
On conforming tetrahedralisations of prismatic partitions. Zbl 1317.65063
Korotov, Sergey; Křížek, Michal
2013
Nondefective integers with respect to certain Lucas sequences of the second kind. Zbl 1412.11025
Somer, Lawrence; Křížek, Michal
2018
Finite element analysis of variational crimes for a nonlinear heat conduction problem in three-dimensional space. Zbl 0968.65069
Korotov, Sergey; Křížek, Michal
1998
Conforming FE-method for obtaining the gradient of a solution to the Poisson equation. Zbl 0549.65071
Neittaanmäki, P.; Křižek, M.
1984
A note on factorization of the Fermat numbers and their factors of the form $$3h2^ n+1$$. Zbl 0822.11007
Křížek, Michal; Chleboun, Jan
1994
Identically distributed second-order linear recurrences modulo $$p$$. Zbl 1397.11047
Somer, Lawrence; Křížek, Michal
2015
From great discoveries in number theory to applications. Zbl 07393614
Křížek, Michal; Somer, Lawrence; Šolcová, Alena
2021
Simplicial partitions with applications to the finite element method. Zbl 1453.65003
Brandts, Jan; Korotov, Sergey; Křížek, Michal
2020
Nondefective integers with respect to certain Lucas sequences of the second kind. Zbl 1412.11025
Somer, Lawrence; Křížek, Michal
2018
Maximum angle condition for $$n$$-dimensional simplicial elements. Zbl 1427.65363
Hannukainen, Antti; Korotov, Sergey; Křížek, Michal
2018
On Synge-type angle condition for $$d$$-simplices. Zbl 1424.65220
Hannukainen, Antti; Korotov, Sergey; Křížek, Michal
2017
On moduli for which certain second-order linear recurrences contain a complete system of residues modulo $$m$$. Zbl 1401.11049
Somer, Lawrence; Křížek, Michal
2017
Excessive extrapolations in cosmology. Zbl 1353.83034
Křížek, M.; Somer, L.
2016
Factorization of cp-rank-$$3$$ completely positive matrices. Zbl 1413.15020
Brandts, Jan; Křížek, Michal
2016
Identically distributed second-order linear recurrences modulo $$p$$. Zbl 1397.11047
Somer, Lawrence; Křížek, Michal
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
Why quintic polynomial equations are not solvable in radicals. Zbl 1374.12005
Křížek, Michal; Somer, Lawrence
2015
Red refinements of simplices into congruent subsimplices. Zbl 1368.65249
Korotov, Sergey; Křížek, Michal
2014
Local nonobtuse tetrahedral refinements around an edge. Zbl 1288.65175
Korotov, Sergey; Křížek, Michal
2013
Prime Lehmer and Lucas numbers with composite indices. Zbl 1291.11044
Somer, Lawrence; Křížek, Michal
2013
Fixed points and upper bounds for the rank of appearance in Lucas sequences. Zbl 1352.11024
Somer, Lawrence; Křížek, Michal
2013
There are only two nonobtuse binary triangulations of the unit $$n$$-cube. Zbl 1261.65020
Brandts, Jan; Dijkhuis, Sander; de Haan, Vincent; 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
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
Two-sided bounds of the discretization error for finite elements. Zbl 1269.65113
Křížek, Michal; Roos, Hans-Goerg; Chen, Wei
2011
The structure of digraphs associated with the congruence $$x^k\equiv y \pmod n$$. Zbl 1249.11006
Somer, L.; Křížek, M.
2011
Nonobtuse local tetrahedral refinements towards a polygonal face/interface. Zbl 1214.65051
Korotov, Sergey; Křížek, Michal
2011
On the complexity of testing elite primes. Zbl 1226.11013
Křížek, Michal; Luca, Florian; Shparlinski, Igor E.; Somer, Lawrence
2011
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
Erratum to: There is no face-to-face partition of $$R ^{5}$$ into acute simplices. Zbl 1198.52012
Křížek, M.
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 symmetric digraphs of the congruence $$x^k \equiv y \pmod n$$. Zbl 1208.05041
Somer, Lawrence; Křížek, Michal
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
Numerical approximation of a nonlinear 3D heat radiation problem. Zbl 1262.65177
Liu, Liping; Huang, Min; Yuan, Kewei; Krizek, Michal
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
Does a gravitational aberration contribute to the accelerated expansion of the Universe? Zbl 1364.83065
Krizek, Michal
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
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
Simplicial finite elements in higher dimensions. Zbl 1164.65493
Brandts, Jan; Korotov, Sergey; Křížek, Michal
2007
On semiregular digraphs of the congruence $$x^k\equiv y\pmod n$$. Zbl 1174.05058
Somer, Lawrence; Křížek, Michal
2007
The latent linear algebra in the web search engine Google. Zbl 1265.68014
Brandts, Jan; Křížek, Michal
2007
Structure of digraphs associated with quadratic congruences with composite moduli. Zbl 1161.05323
Somer, Lawrence; Křížek, Michal
2006
There is no face-to-face partition of $$R^5$$ into acute simplices. Zbl 1103.52008
Křížek, Michal
2006
What is the smallest possible constant in Céa’s lemma? Zbl 1164.65495
Chen, Wei; Křížek, Michal
2006
Superconvergence of tetrahedral quadratic finite elements. Zbl 1072.65137
Brandts, Jan; Křížek, Michal
2005
Global and local refinement techniques yielding nonobtuse tetrahedral partitions. Zbl 1086.65116
Korotov, S.; Křížek, M.
2005
Superconvergence phenomena on three-dimensional meshes. Zbl 1071.65139
Křížek, Michal
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
On a connection of number theory with graph theory. Zbl 1080.11004
Somer, Lawrence; Křížek, Michal
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 1089.65118
Liu, Liping; Liu, Tang; Krízek, Michal; Lin, Tao; Zhang, Shuhua
2004
On symmetric pyramidal finite elements. Zbl 1041.65098
Liu, Liping; Davies, Kevin B.; Yuan, Kewei; Křížek, Michal
2004
Sophie Germain little suns. Zbl 1108.11002
Křížek, Michal; Somer, Lawrence
2004
Conjugate gradient algorithms and finite element methods. Zbl 1059.65001
2004
Acute versus nonobtuse tetrahedralizations. Zbl 1069.65133
Křížek, Michal; Šolc, Jakub
2004
Gradient superconvergence on uniform simplicial partitions of polytopes. Zbl 1042.65081
Brandts, Jan; Křížek, Michal
2003
On the maximum and comparison principles for a steady-state nonlinear heat conduction problem. Zbl 1030.35061
Křížek, Michal; Liu, Liping
2003
Local nonobtuse tetrahedral refinements of a cube. Zbl 1046.65106
Korotov, S.; Křížek, M.
2003
On the convergence of series of reciprocals of primes related to the Fermat numbers. Zbl 1026.11011
Křížek, Michal; Luca, Florian; Somer, Lawrence
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
17 lectures on Fermat numbers. From number theory to geometry. With a foreword by Alena Šolcová. Zbl 1010.11002
Křížek, Michal; Luca, Florian; Somer, Lawrence
2001
History and future of superconvergence in three-dimensional finite element methods. Zbl 0994.65114
Brandts, Jan; Křížek, Michal
2001
A necessary and sufficient condition for the primality of Fermat numbers. Zbl 0993.11002
Křížek, Michal; Somer, Lawrence
2001
On the solutions of the congruence $$n^{2}\equiv 1\pmod {\varphi^{2}(n)}$$. Zbl 0998.11004
Luca, Florian; Krizek, Michal
2001
Second-order optimality conditions for nondominated solutions of multiobjective programming with $$C^{1,1}$$ data. Zbl 0995.90085
Liu, Liping; Neittaanmäki, Pekka; Křížek, Michal
2000
Nonobtuse tetrahedral partitions. Zbl 0957.65012
Křížek, Michal; Pradlová, Jana
2000
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 of a nonlinear elliptic problem with a pure radiation condition. Zbl 0953.65081
Křížek, Michael; Liu, Liping; Neittaanmäki, Pekka
1999
Finite element methods. Superconvergence, post-processing, and a posteriori estimates. 1st conference, University of Jyväskylä, Finland. Zbl 0884.00048
1998
Bibliography on superconvergence. Zbl 0902.65001
Křížek, Michal; Neittaanmäki, Pekka
1998
Finite element approximation of a nonlinear heat conduction problem in anisotropic media. Zbl 0959.74067
Křížek, M.; Liu, L.
1998
Finite element analysis of a radiation heat transfer problem. Zbl 0919.65067
Liu, Liping; Křízek, Michal
1998
Conforming finite element method for the Navier-Stokes problem. Zbl 0986.76042
Křížek, Michal; Liu, Liping
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
How to generate local refinements of unstructured tetrahedral meshes satisfying a regularity ball condition. Zbl 0879.65078
Křížek, Michal; Strouboulis, Theofanis
1997
The second order optimality conditions for nonlinear mathematical programming with $$C^{1,1}$$ data. Zbl 0903.90152
Liu, L.; Křížek, M.
1997
Mathematical and numerical modelling in electrical engineering. Theory and practice. Zbl 0859.65128
Křížek, Michal; Neittaanmäki, Pekka
1997
On a comparison principle for a quasilinear elliptic boundary value problem of a nonmonotone type. Zbl 0858.35008
Křížek, Michal; Liu, Liping
1996
Higher order finite element approximation of a quasilinear elliptic boundary value problem of a non-monotone type. Zbl 0870.65096
Liu, Liping; Křížek, Michal; Neittaanmäki, Pekka
1996
Optimal interior and local error estimates of a recovered gradient of linear elements on nonuniform triangulations. Zbl 0861.65091
Hlaváček, I.; Křížek, M.
1996
How to recover the gradient of linear elements on nonuniform triangulations. Zbl 0870.65093
Hlaváček, Ivan; Křížek, Michal; Pištora, Vladislav
1996
On diagonal dominance of stiffness matrices in 3D. Zbl 0824.65112
Křížek, M.; Qun, L.
1995
Curved affine quadratic finite elements. Zbl 0853.65118
Koukal, Stanislav; Křížek, Michal
1995
Numerical experience with the three-body problem. Zbl 0851.70002
Křížek, Michal
1995
On Galerkin approximations of a quasilinear nonpotential elliptic problem of a nonmonotone type. Zbl 0802.65113
Hlaváček, Ivan; Křížek, Michal; Malý, Jan
1994
Finite element methods. 50 years of the Courant element. Conference held at the Univ. of Jyväskylä, Finland, 1993. Zbl 0802.00026
1994
Superconvergence phenomena in the finite element method. Zbl 0820.65071
Křížek, Michal
1994
Higher order global accuracy of a weighted averaged gradient of the Courant elements on irregular meshes. Zbl 0837.65121
Křížek, Michal
1994
A note on factorization of the Fermat numbers and their factors of the form $$3h2^ n+1$$. Zbl 0822.11007
Křížek, Michal; Chleboun, Jan
1994
On an unconventional variational method for solving the problem of linear elasticity with Neumann or periodic boundary conditions. Zbl 0798.73077
Křížek, Michal; Milka, Zdeněk
1994
On the preconditioned biconjugate gradients for solving linear complex equations arising from finite elements. Zbl 0802.65039
Křížek, Michal; Mlýnek, Jaroslav
1994
An analysis of finite element variational crimes for a nonlinear elliptic problem of nonmonotone type. Zbl 0835.65128
Feistauer, Miloslav; Křížek, M.; Sobotíková, Veronika
1993
Dual finite element analysis of three-dimensional axisymmetric elliptic problems. I. Zbl 0786.65089
Hlaváček, Ivan; Křížek, Michal
1993
On the maximum angle condition for linear tetrahedral elements. Zbl 0755.41003
Křížek, Michal
1992
Weight minimization of elastic bodies under weakly supporting tension. I: Domains with one curved side. Zbl 0767.73047
Hlaváček, Ivan; Křížek, Michal
1992
A nontraditional approach for solving the Neumann problem by the finite element method. Zbl 0771.65070
Křížek, Michal; Neittaanmäki, Pekka; Vondrák, Miroslav
1992
Weight minimization of elastic bodies under weakly supporting tension. II: Domains with two curved sides. Zbl 0767.73048
Hlaváček, Ivan; Křížek, Michal
1992
On semiregular families of triangulations and linear interpolation. Zbl 0728.41003
Křížek, Michal
1991
...and 19 more Documents
all top 5

### Cited by 712 Authors

 57 Křížek, Michal 44 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 Karátson, János 8 Mao, Shipeng 8 Walker, Shawn W. 7 Amosov, Andreĭ Avenirovich 7 Kobayashi, Kenta 7 Plaza, Ángel 7 Tsuchiya, Takuya 7 Vatne, Jon Eivind 6 Bi, Chunjia 6 Casas, Eduardo 6 Deng, Guixin 6 Ginchev, Ivan G. 6 Hannukainen, Antti 6 He, Wenming 6 Huang, Weizhang 6 Perotto, Simona 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 Sheng, Zhiqiang 5 Svyatskiy, Daniil 5 Wei, Yangjiang 5 Yuan, Guangwei 5 Zhou, Aihui 4 Abdulle, Assyr 4 Ahmad, Uzma 4 Apel, Thomas 4 Baĭdakova, Natalia Vasil’evna 4 Carey, Graham Francis 4 Chen, Shaochun 4 Du, Qiang 4 Gillette, Andrew 4 Horváth, Robert A. 4 Hošek, Radim 4 Huang, Yunqing 4 Khademi, Ali 4 Lazarov, Raytcho D. 4 Li, Xianping 4 Li, Yonghai 4 Liu, Liping 4 Meemark, Yotsanan 4 Nicaise, Serge 4 Rocca, Matteo 4 Šolín, Pavel 4 Strouboulis, Theofanis 4 Tang, Gaohua 4 Todorov, Todor Dimitrov 4 Tuan, Nguyen Dinh 4 Vassilevski, Yuri V. 4 Wang, Cheng 4 Yan, Ningning 4 Yang, Ying 4 Zhang, Shuhua 3 Ainsworth, Mark 3 Alonso Rodríguez, Ana 3 Auricchio, Ferdinando 3 Beilina, Larisa 3 Burman, Erik 3 Cao, Waixiang 3 Chen, Long 3 Chleboun, Jan 3 Chow, Sum S. 3 Cihangir, Apo 3 Du, Qikui 3 Ern, Alexandre 3 Ginting, Victor 3 Guo, Liming 3 Hu, Hsin-Yun 3 Lefieux, Adrien 3 Li, Hengguang 3 Li, Jichun 3 Li, Likang 3 Lin, Runchang 3 Lipnikov, Konstantin N. 3 Luca, Florian 3 Mackerle, Jaroslav 3 Nan, Jizhu 3 Nochetto, Ricardo Horacio 3 Padrón, Miguel A. 3 Pehlivanov, A. I. 3 Petrov, Miroslav S. 3 Picasso, Marco ...and 612 more Authors
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### Cited in 143 Serials

 58 Applications of Mathematics 37 Journal of Computational and Applied Mathematics 32 Computer Methods in Applied Mechanics and Engineering 30 Mathematics of Computation 27 Numerische Mathematik 24 Computers & Mathematics with Applications 23 Journal of Computational Physics 21 Applied Numerical Mathematics 19 Numerical Methods for Partial Differential Equations 15 Aplikace Matematiky 12 Applied Mathematics and Computation 12 Czechoslovak Mathematical Journal 10 Journal of Scientific Computing 9 Journal of Mathematical Analysis and Applications 8 Mathematics and Computers in Simulation 8 Advances in Computational Mathematics 7 Applied Mathematics Letters 7 Numerical Algorithms 7 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 6 Numerical Functional Analysis and Optimization 6 Communications in Numerical Methods in Engineering 5 International Journal for Numerical Methods in Engineering 5 RAIRO. Modélisation Mathématique et Analyse Numérique 5 Journal of Mathematical Sciences (New York) 4 Japan Journal of Industrial and Applied Mathematics 4 Applied Mathematical Modelling 4 SIAM Journal on Scientific Computing 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 SIAM Journal on Numerical Analysis 3 Acta Applicandae Mathematicae 3 Discrete & Computational Geometry 3 International Journal of Computational Geometry & Applications 3 Computational Geometry 3 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 3 Linear Algebra and its Applications 3 Computational Optimization and Applications 3 Engineering Analysis with Boundary Elements 3 Engineering Computations 3 Gravitation & Cosmology 3 Computational Methods in Applied Mathematics 3 Journal of Algebra and its Applications 3 International Journal of Number Theory 3 Proceedings of the Steklov Institute of Mathematics 3 Discrete Mathematics, Algorithms and Applications 2 Mathematical Methods in the Applied Sciences 2 The Mathematical Intelligencer 2 Advances in Mathematics 2 BIT 2 Mathematica Slovaca 2 Proceedings of the American Mathematical Society 2 Computer Aided Geometric Design 2 Optimization 2 Computational Mechanics 2 Journal of Integral Equations and Applications 2 Science in China. Series A 2 Computational Mathematics and Mathematical Physics 2 Mathematical Programming. Series A. 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 Acta Mathematica Sinica. English Series 2 Integers 2 Journal of Systems Science and Complexity 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Communications in Computational Physics 2 Journal of Mathematics 2 Nonlinear Analysis. Theory, Methods & Applications 1 Applicable Analysis 1 Bulletin of the Australian Mathematical Society 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 Calcolo 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 Combinatorica 1 COMPEL 1 Mathematical and Computer Modelling 1 Journal of Global Optimization 1 Journal of Non-Newtonian Fluid Mechanics 1 SIAM Review 1 Computational Statistics and Data Analysis ...and 43 more Serials
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### Cited in 46 Fields

 442 Numerical analysis (65-XX) 277 Partial differential equations (35-XX) 49 Mechanics of deformable solids (74-XX) 46 Number theory (11-XX) 39 Fluid mechanics (76-XX) 34 Combinatorics (05-XX) 33 Calculus of variations and optimal control; optimization (49-XX) 29 Optics, electromagnetic theory (78-XX) 27 Operations research, mathematical programming (90-XX) 15 Approximations and expansions (41-XX) 15 Geometry (51-XX) 14 Convex and discrete geometry (52-XX) 12 Ordinary differential equations (34-XX) 9 Computer science (68-XX) 9 Classical thermodynamics, heat transfer (80-XX) 8 Group theory and generalizations (20-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 Biology and other natural sciences (92-XX) 4 History and biography (01-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Statistical mechanics, structure of matter (82-XX) 4 Systems theory; control (93-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Difference and functional equations (39-XX) 3 Relativity and gravitational theory (83-XX) 2 Functions of a complex variable (30-XX) 2 Functional analysis (46-XX) 2 Manifolds and cell complexes (57-XX) 2 Probability theory and stochastic processes (60-XX) 2 Statistics (62-XX) 2 Mechanics of particles and systems (70-XX) 2 Astronomy and astrophysics (85-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 Special functions (33-XX) 1 Integral transforms, operational calculus (44-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Geophysics (86-XX) 1 Mathematics education (97-XX)

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