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Author ID: krizek.michal Recent zbMATH articles by "Křížek, 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: 200 Publications since 1982, including 7 Books
7 Contributions as Editor · 1 Further Contribution
Reviewing Activity: 47 Reviews
Biographic References: 2 Publications
Co-Authors: 58 Co-Authors with 173 Joint Publications
2,036 Co-Co-Authors
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

Publications by Year

Citations contained in zbMATH Open

120 Publications have been cited 1,136 times in 633 Documents Cited by Year
On superconvergence techniques. Zbl 0624.65107
Křížek, Michal; Neittaanmäki, Pekka
62
1987
On the maximum angle condition for linear tetrahedral elements. Zbl 0755.41003
Křížek, Michal
56
1992
Weakened acute type condition for tetrahedral triangulations and the discrete maximum principle. Zbl 1001.65125
Korotov, Sergey; Křížek, Michal; Neittaanmäki, Pekka
55
2001
Superconvergence phenomenon in the finite element method arising from averaging gradients. Zbl 0575.65104
Křížek, Michal; Neittaanmäki, Pekka
45
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
44
2008
On Galerkin approximations of a quasilinear nonpotential elliptic problem of a nonmonotone type. Zbl 0802.65113
Hlaváček, Ivan; Křížek, Michal; Malý, Jan
41
1994
On nonobtuse simplicial partitions. Zbl 1172.51012
Brandts, Jan; Korotov, Sergey; Křížek, Michal; Šolc, Jakub
41
2009
Gradient superconvergence on uniform simplicial partitions of polytopes. Zbl 1042.65081
Brandts, Jan; Křížek, Michal
39
2003
On diagonal dominance of stiffness matrices in 3D. Zbl 0824.65112
Křížek, M.; Qun, L.
36
1995
On a global superconvergence of the gradient of linear triangular elements. Zbl 0602.65084
Křížek, M.; Neittaanmäki, P.
34
1987
On semiregular families of triangulations and linear interpolation. Zbl 0728.41003
Křížek, Michal
30
1991
On discrete maximum principles for nonlinear elliptic problems. Zbl 1142.65093
Karátson, János; Korotov, Sergey; Křížek, Michal
27
2007
On a connection of number theory with graph theory. Zbl 1080.11004
Somer, Lawrence; Křížek, Michal
26
2004
Finite element approximation of variational problems and applications. Zbl 0708.65106
Křížek, M; Neittaanmäki, P.
26
1990
On the equivalence of regularity criteria for triangular and tetrahedral finite element partitions. Zbl 1142.65443
Brandts, Jan; Korotov, Sergey; Křížek, Michal
25
2008
How to generate local refinements of unstructured tetrahedral meshes satisfying a regularity ball condition. Zbl 0879.65078
Křížek, Michal; Strouboulis, Theofanis
19
1997
Acute type refinements of tetrahedral partitions of polyhedral domains. Zbl 1069.65017
Korotov, Sergey; Křížek, Michal
18
2001
The maximum angle condition is not necessary for convergence of the finite element method. Zbl 1255.65196
Hannukainen, Antti; Korotov, Sergey; Křížek, Michal
18
2012
Dissection of the path-simplex in \(\mathbb {R}^n\) into \(n\) path-subsimplices. Zbl 1112.51006
Brandts, Jan; Korotov, Sergey; Křížek, Michal
16
2007
On symmetric digraphs of the congruence \(x^k \equiv y \pmod n\). Zbl 1208.05041
Somer, Lawrence; Křížek, Michal
16
2009
Second-order optimality conditions for nondominated solutions of multiobjective programming with \(C^{1,1}\) data. Zbl 0995.90085
Liu, Liping; Neittaanmäki, Pekka; Křížek, Michal
15
2000
17 lectures on Fermat numbers. From number theory to geometry. With a foreword by Alena Šolcová. Zbl 1010.11002
Křížek, Michal; Luca, Florian; Somer, Lawrence
14
2001
On the validity of Friedrichs’ inequalities. Zbl 0555.35003
Křížek, Michal; Neittaanmäki, Pekka
13
1984
Structure of digraphs associated with quadratic congruences with composite moduli. Zbl 1161.05323
Somer, Lawrence; Křížek, Michal
13
2006
On the equivalence of ball conditions for simplicial finite elements in \(\mathbf R^d\). Zbl 1173.52301
Brandts, Jan; Korotov, Sergey; Křížek, Michal
13
2009
Red refinements of simplices into congruent subsimplices. Zbl 1368.65249
Korotov, Sergey; Křížek, Michal
13
2014
On a comparison principle for a quasilinear elliptic boundary value problem of a nonmonotone type. Zbl 0858.35008
Křížek, Michal; Liu, Liping
13
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
12
1996
History and future of superconvergence in three-dimensional finite element methods. Zbl 0994.65114
Brandts, Jan; Křížek, Michal
12
2001
On a superconvergent finite element scheme for elliptic systems. I. Dirichlet boundary condition. Zbl 0622.65097
Hlaváček, Ivan; Křížek, Michal
12
1987
Superconvergence of tetrahedral quadratic finite elements. Zbl 1072.65137
Brandts, Jan; Křížek, Michal
12
2005
Finite element methods. Superconvergence, post-processing, and a posteriori estimates. 1st conference, University of Jyväskylä, Finland. Zbl 0884.00048
11
1998
Global and local refinement techniques yielding nonobtuse tetrahedral partitions. Zbl 1086.65116
Korotov, S.; Křížek, M.
11
2005
An equilibrium finite element method in three-dimensional elasticity. Zbl 0488.73072
Krizek, Michal
11
1982
The second order optimality conditions for nonlinear mathematical programming with \(C^{1,1}\) data. Zbl 0903.90152
Liu, L.; Křížek, M.
11
1997
Conforming equilibrium finite element methods for some elliptic plane problems. Zbl 0541.76003
Křížek, Michal
10
1983
On the maximum and comparison principles for a steady-state nonlinear heat conduction problem. Zbl 1030.35061
Křížek, Michal; Liu, Liping
9
2003
Generalization of the Zlamal condition for simplicial finite elements in \(\mathbb {R}^{d}\). Zbl 1240.65327
Brandts, Jan; Korotov, Sergey; Křížek, Michal
9
2011
On angle conditions in the finite element method. Zbl 1242.65235
Brandts, Jan H.; Hannukainen, Antti; Korotov, Sergey; Křížek, Michal
8
2011
An analysis of finite element variational crimes for a nonlinear elliptic problem of nonmonotone type. Zbl 0835.65128
Feistauer, Miloslav; Křížek, M.; Sobotíková, Veronika
8
1993
On time-harmonic Maxwell equations with nonhomogeneous conductivities: Solvability and FE-approximation. Zbl 0696.65085
Křížek, 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 1089.65118
Liu, Liping; Liu, Tang; Krízek, Michal; Lin, Tao; Zhang, Shuhua
8
2004
Local nonobtuse tetrahedral refinements of a cube. Zbl 1046.65106
Korotov, S.; Křížek, M.
8
2003
Simplicial finite elements in higher dimensions. Zbl 1164.65493
Brandts, Jan; Korotov, Sergey; Křížek, Michal
8
2007
On global and local mesh refinements by a generalized conforming bisection algorithm. Zbl 1207.65145
Hannukainen, Antti; Korotov, Sergey; Křížek, Michal
7
2010
Internal finite element approximations in the dual variational method for second order elliptic problems with curved boundaries. Zbl 0543.65074
Hlaváček, Ivan; Křížek, Michal
6
1984
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
6
2010
There is no face-to-face partition of \(R^5\) into acute simplices. Zbl 1103.52008
Křížek, Michal
6
2006
On the convergence of series of reciprocals of primes related to the Fermat numbers. Zbl 1026.11011
Křížek, Michal; Luca, Florian; Somer, Lawrence
6
2002
On Synge-type angle condition for \(d\)-simplices. Zbl 1424.65220
Hannukainen, Antti; Korotov, Sergey; Křížek, Michal
6
2017
Superconvergence phenomena on three-dimensional meshes. Zbl 1071.65139
Křížek, Michal
6
2005
Bibliography on superconvergence. Zbl 0902.65001
Křížek, Michal; Neittaanmäki, Pekka
6
1998
Two-sided bounds of the discretization error for finite elements. Zbl 1269.65113
Křížek, Michal; Roos, Hans-Goerg; Chen, Wei
6
2011
On the solutions of the congruence \(n^{2}\equiv 1\pmod {\varphi^{2}(n)}\). Zbl 0998.11004
Luca, Florian; Krizek, Michal
5
2001
Nonobtuse tetrahedral partitions that refine locally towards Fichera-like corners. Zbl 1099.65105
Beilina, Larisa; Korotov, Sergey; Křížek, Michal
5
2005
The structure of digraphs associated with the congruence \(x^k\equiv y \pmod n\). Zbl 1249.11006
Somer, L.; Křížek, M.
5
2011
Simplicial partitions with applications to the finite element method. Zbl 1453.65003
Brandts, Jan; Korotov, Sergey; Křížek, Michal
5
2020
Dual finite element analysis of three-dimensional axisymmetric elliptic problems. I. Zbl 0786.65089
Hlaváček, Ivan; Křížek, Michal
5
1993
Nonobtuse tetrahedral partitions. Zbl 0957.65012
Křížek, Michal; Pradlová, Jana
5
2000
On semiregular digraphs of the congruence \(x^k\equiv y\pmod n\). Zbl 1174.05058
Somer, Lawrence; Křížek, Michal
4
2007
Nonobtuse local tetrahedral refinements towards a polygonal face/interface. Zbl 1214.65051
Korotov, Sergey; Křížek, Michal
4
2011
Finite element methods. 50 years of the Courant element. Conference held at the Univ. of Jyväskylä, Finland, 1993. Zbl 0802.00026
4
1994
Finite element approximation of a nonlinear heat conduction problem in anisotropic media. Zbl 0959.74067
Křížek, M.; Liu, L.
4
1998
Finite element analysis of variational crimes for a quasilinear elliptic problem in 3D. Zbl 0948.65129
Korotov, Sergey; Křížek, Michal
4
2000
Local nonobtuse tetrahedral refinements around an edge. Zbl 1288.65175
Korotov, Sergey; Křížek, Michal
3
2013
How to recover the gradient of linear elements on nonuniform triangulations. Zbl 0870.65093
Hlaváček, Ivan; Křížek, Michal; Pištora, Vladislav
3
1996
A necessary and sufficient condition for the primality of Fermat numbers. Zbl 0993.11002
Křížek, Michal; Somer, Lawrence
3
2001
The strengthened Cauchy-bunyakowski-Schwarz inequality for \(n\)-simplicial linear finite elements. Zbl 1118.65384
Brandts, Jan; Korotov, Sergey; Křížek, Michal
3
2005
On moduli for which certain second-order linear recurrences contain a complete system of residues modulo \(m\). Zbl 1401.11049
Somer, Lawrence; Křížek, Michal
3
2017
Superconvergence phenomena in the finite element method. Zbl 0820.65071
Křížek, Michal
3
1994
Prime Lehmer and Lucas numbers with composite indices. Zbl 1291.11044
Somer, Lawrence; Křížek, Michal
3
2013
A nodal superconvergence arising from combination of linear and bilinear elements. Zbl 0726.65122
Křížek, Michal; Lin, Qun; Huang, Yunqing
3
1988
On the existence of strongly regular families of triangulations for domains with a piecewise smooth boundary. Zbl 1060.65665
Korotov, Sergey; Křížek, Michal; Neittaanmäki, Pekka
3
1999
Mathematical and numerical modelling in electrical engineering. Theory and practice. Zbl 0859.65128
Křížek, Michal; Neittaanmäki, Pekka
3
1997
Optimal interior and local error estimates of a recovered gradient of linear elements on nonuniform triangulations. Zbl 0861.65091
Hlaváček, I.; Křížek, M.
3
1996
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
3
1987
On symmetric pyramidal finite elements. Zbl 1041.65098
Liu, Liping; Davies, Kevin B.; Yuan, Kewei; Křížek, Michal
3
2004
Finite element approximation for a div-rot system with mixed boundary conditions in non-smooth plane domains. Zbl 0575.65125
Křižek, Michal; Neittaanmäki, Pekka
2
1984
Finite element analysis of a nonlinear elliptic problem with a pure radiation condition. Zbl 0953.65081
Křížek, Michael; Liu, Liping; Neittaanmäki, Pekka
2
1999
Excessive extrapolations in cosmology. Zbl 1353.83034
Křížek, M.; Somer, L.
2
2016
Solvability of a first order system in three-dimensional non-smooth domains. Zbl 0593.35073
Křížek, Michal; Neittaanmäki, Pekka
2
1985
On a discrete maximum principle for linear FE solutions of elliptic problems with a nondiagonal coefficient matrix. Zbl 1233.65092
Korotov, Sergey; Křížek, Michal; Šolc, Jakub
2
2009
Does a gravitational aberration contribute to the accelerated expansion of the Universe? Zbl 1364.83065
Krizek, Michal
2
2009
Fixed points and upper bounds for the rank of appearance in Lucas sequences. Zbl 1352.11024
Somer, Lawrence; Křížek, Michal
2
2013
Weight minimization of elastic bodies under weakly supporting tension. I: Domains with one curved side. Zbl 0767.73047
Hlaváček, Ivan; Křížek, Michal
2
1992
Sophie Germain little suns. Zbl 1108.11002
Křížek, Michal; Somer, Lawrence
2
2004
Finite element analysis of a radiation heat transfer problem. Zbl 0919.65067
Liu, Liping; Křízek, Michal
2
1998
On a superconvergent finite element scheme for elliptic systems. III. Optimal interior estimates. Zbl 0636.65116
Hlaváček, Ivan; Křížek, Michal
2
1987
Higher order global accuracy of a weighted averaged gradient of the Courant elements on irregular meshes. Zbl 0837.65121
Křížek, Michal
2
1994
Numerical approximation of a nonlinear 3D heat radiation problem. Zbl 1262.65177
Liu, Liping; Huang, Min; Yuan, Kewei; Krizek, Michal
2
2009
Conforming FE-method for obtaining the gradient of a solution to the Poisson equation. Zbl 0549.65071
Neittaanmäki, P.; Křižek, M.
1
1984
Finite element analysis of variational crimes for a nonlinear heat conduction problem in three-dimensional space. Zbl 0968.65069
Korotov, Sergey; Křížek, Michal
1
1998
On a bisection algorithm that produces conforming locally refined simplicial meshes. Zbl 1280.65135
Hannukainen, Antti; Korotov, Sergey; Křížek, Michal
1
2010
Why quintic polynomial equations are not solvable in radicals. Zbl 1374.12005
Křížek, Michal; Somer, Lawrence
1
2015
Nondefective integers with respect to certain Lucas sequences of the second kind. Zbl 1412.11025
Somer, Lawrence; Křížek, Michal
1
2018
On conforming tetrahedralisations of prismatic partitions. Zbl 1317.65063
Korotov, Sergey; Křížek, Michal
1
2013
On the complexity of testing elite primes. Zbl 1226.11013
Křížek, Michal; Luca, Florian; Shparlinski, Igor E.; Somer, Lawrence
1
2011
Erratum to: There is no face-to-face partition of \(R ^{5}\) into acute simplices. Zbl 1198.52012
Křížek, M.
1
2010
Duality of isosceles tetrahedra. Zbl 1430.51027
Brandts, Jan; Křížek, Michal
1
2019
Maximum angle condition for \(n\)-dimensional simplicial elements. Zbl 1427.65363
Hannukainen, Antti; Korotov, Sergey; Křížek, Michal
1
2018
From great discoveries in number theory to applications. Zbl 1486.11001
Křížek, Michal; Somer, Lawrence; Šolcová, Alena
1
2021
Simplicial partitions with applications to the finite element method. Zbl 1453.65003
Brandts, Jan; Korotov, Sergey; Křížek, Michal
5
2020
Duality of isosceles tetrahedra. Zbl 1430.51027
Brandts, Jan; Křížek, Michal
1
2019
Nondefective integers with respect to certain Lucas sequences of the second kind. Zbl 1412.11025
Somer, Lawrence; Křížek, Michal
1
2018
Maximum angle condition for \(n\)-dimensional simplicial elements. Zbl 1427.65363
Hannukainen, Antti; Korotov, Sergey; Křížek, Michal
1
2018
On Synge-type angle condition for \(d\)-simplices. Zbl 1424.65220
Hannukainen, 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 1401.11049
Somer, Lawrence; Křížek, Michal
3
2017
Excessive extrapolations in cosmology. Zbl 1353.83034
Křížek, M.; Somer, L.
2
2016
Factorization of cp-rank-\(3\) completely positive matrices. Zbl 1413.15020
Brandts, Jan; Křížek, Michal
1
2016
Why quintic polynomial equations are not solvable in radicals. Zbl 1374.12005
Křížek, Michal; Somer, Lawrence
1
2015
Identically distributed second-order linear recurrences modulo \(p\). Zbl 1397.11047
Somer, 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
Red refinements of simplices into congruent subsimplices. Zbl 1368.65249
Korotov, Sergey; Křížek, Michal
13
2014
Local nonobtuse tetrahedral refinements around an edge. Zbl 1288.65175
Korotov, Sergey; Křížek, Michal
3
2013
Prime Lehmer and Lucas numbers with composite indices. Zbl 1291.11044
Somer, Lawrence; Křížek, Michal
3
2013
Fixed points and upper bounds for the rank of appearance in Lucas sequences. Zbl 1352.11024
Somer, Lawrence; Křížek, Michal
2
2013
On conforming tetrahedralisations of prismatic partitions. Zbl 1317.65063
Korotov, Sergey; Křížek, Michal
1
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
1
2013
The maximum angle condition is not necessary for convergence of the finite element method. Zbl 1255.65196
Hannukainen, Antti; Korotov, Sergey; Křížek, Michal
18
2012
Generalization of the Zlamal condition for simplicial finite elements in \(\mathbb {R}^{d}\). Zbl 1240.65327
Brandts, Jan; Korotov, Sergey; Křížek, Michal
9
2011
On angle conditions in the finite element method. Zbl 1242.65235
Brandts, Jan H.; Hannukainen, Antti; Korotov, Sergey; Křížek, Michal
8
2011
Two-sided bounds of the discretization error for finite elements. Zbl 1269.65113
Křížek, Michal; Roos, Hans-Goerg; Chen, Wei
6
2011
The structure of digraphs associated with the congruence \(x^k\equiv y \pmod n\). Zbl 1249.11006
Somer, L.; Křížek, M.
5
2011
Nonobtuse local tetrahedral refinements towards a polygonal face/interface. Zbl 1214.65051
Korotov, Sergey; Křížek, Michal
4
2011
On the complexity of testing elite primes. Zbl 1226.11013
Křížek, Michal; Luca, Florian; Shparlinski, Igor E.; Somer, Lawrence
1
2011
On global and local mesh refinements by a generalized conforming bisection algorithm. Zbl 1207.65145
Hannukainen, 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 1224.65247
Hannukainen, Antti; Korotov, Sergey; Křížek, Michal
6
2010
On a bisection algorithm that produces conforming locally refined simplicial meshes. Zbl 1280.65135
Hannukainen, Antti; Korotov, Sergey; Křížek, Michal
1
2010
Erratum to: There is no face-to-face partition of \(R ^{5}\) into acute simplices. Zbl 1198.52012
Křížek, M.
1
2010
On nonobtuse simplicial partitions. Zbl 1172.51012
Brandts, Jan; Korotov, Sergey; Křížek, Michal; Šolc, Jakub
41
2009
On symmetric digraphs of the congruence \(x^k \equiv y \pmod n\). Zbl 1208.05041
Somer, Lawrence; Křížek, Michal
16
2009
On the equivalence of ball conditions for simplicial finite elements in \(\mathbf R^d\). Zbl 1173.52301
Brandts, Jan; Korotov, Sergey; Křížek, Michal
13
2009
On a discrete maximum principle for linear FE solutions of elliptic problems with a nondiagonal coefficient matrix. Zbl 1233.65092
Korotov, Sergey; Křížek, Michal; Šolc, Jakub
2
2009
Does a gravitational aberration contribute to the accelerated expansion of the Universe? Zbl 1364.83065
Krizek, Michal
2
2009
Numerical approximation of a nonlinear 3D heat radiation problem. Zbl 1262.65177
Liu, Liping; Huang, Min; Yuan, Kewei; Krizek, Michal
2
2009
The discrete maximum principle for linear simplicial finite element approximations of a reaction-diffusion problem. Zbl 1154.65086
Brandts, Jan H.; Korotov, Sergey; Křížek, Michal
44
2008
On the equivalence of regularity criteria for triangular and tetrahedral finite element partitions. Zbl 1142.65443
Brandts, Jan; Korotov, Sergey; Křížek, Michal
25
2008
On discrete maximum principles for nonlinear elliptic problems. Zbl 1142.65093
Karátson, János; Korotov, Sergey; Křížek, Michal
27
2007
Dissection of the path-simplex in \(\mathbb {R}^n\) into \(n\) path-subsimplices. Zbl 1112.51006
Brandts, Jan; Korotov, Sergey; Křížek, Michal
16
2007
Simplicial finite elements in higher dimensions. Zbl 1164.65493
Brandts, Jan; Korotov, Sergey; Křížek, Michal
8
2007
On semiregular digraphs of the congruence \(x^k\equiv y\pmod n\). Zbl 1174.05058
Somer, Lawrence; Křížek, Michal
4
2007
The latent linear algebra in the web search engine Google. Zbl 1265.68014
Brandts, Jan; Křížek, Michal
1
2007
Structure of digraphs associated with quadratic congruences with composite moduli. Zbl 1161.05323
Somer, Lawrence; Křížek, Michal
13
2006
There is no face-to-face partition of \(R^5\) into acute simplices. Zbl 1103.52008
Křížek, Michal
6
2006
What is the smallest possible constant in Céa’s lemma? Zbl 1164.65495
Chen, Wei; Křížek, Michal
1
2006
Superconvergence of tetrahedral quadratic finite elements. Zbl 1072.65137
Brandts, Jan; Křížek, Michal
12
2005
Global and local refinement techniques yielding nonobtuse tetrahedral partitions. Zbl 1086.65116
Korotov, S.; Křížek, M.
11
2005
Superconvergence phenomena on three-dimensional meshes. Zbl 1071.65139
Křížek, Michal
6
2005
Nonobtuse tetrahedral partitions that refine locally towards Fichera-like corners. Zbl 1099.65105
Beilina, Larisa; Korotov, Sergey; Křížek, Michal
5
2005
The strengthened Cauchy-bunyakowski-Schwarz inequality for \(n\)-simplicial linear finite elements. Zbl 1118.65384
Brandts, Jan; Korotov, Sergey; Křížek, Michal
3
2005
On a connection of number theory with graph theory. Zbl 1080.11004
Somer, 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 1089.65118
Liu, Liping; Liu, Tang; Krízek, Michal; Lin, Tao; Zhang, Shuhua
8
2004
On symmetric pyramidal finite elements. Zbl 1041.65098
Liu, Liping; Davies, Kevin B.; Yuan, Kewei; Křížek, Michal
3
2004
Sophie Germain little suns. Zbl 1108.11002
Křížek, Michal; Somer, Lawrence
2
2004
Acute versus nonobtuse tetrahedralizations. Zbl 1069.65133
Křížek, Michal; Šolc, Jakub
1
2004
Conjugate gradient algorithms and finite element methods. Zbl 1059.65001
1
2004
Gradient superconvergence on uniform simplicial partitions of polytopes. Zbl 1042.65081
Brandts, Jan; Křížek, Michal
39
2003
On the maximum and comparison principles for a steady-state nonlinear heat conduction problem. Zbl 1030.35061
Křížek, Michal; Liu, Liping
9
2003
Local nonobtuse tetrahedral refinements of a cube. Zbl 1046.65106
Korotov, S.; Křížek, M.
8
2003
On the convergence of series of reciprocals of primes related to the Fermat numbers. Zbl 1026.11011
Křížek, Michal; Luca, Florian; Somer, Lawrence
6
2002
Weakened acute type condition for tetrahedral triangulations and the discrete maximum principle. Zbl 1001.65125
Korotov, Sergey; Křížek, Michal; Neittaanmäki, Pekka
55
2001
Acute type refinements of tetrahedral partitions of polyhedral domains. Zbl 1069.65017
Korotov, Sergey; Křížek, Michal
18
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
14
2001
History and future of superconvergence in three-dimensional finite element methods. Zbl 0994.65114
Brandts, Jan; Křížek, Michal
12
2001
On the solutions of the congruence \(n^{2}\equiv 1\pmod {\varphi^{2}(n)}\). Zbl 0998.11004
Luca, Florian; Krizek, Michal
5
2001
A necessary and sufficient condition for the primality of Fermat numbers. Zbl 0993.11002
Křížek, Michal; Somer, Lawrence
3
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
15
2000
Nonobtuse tetrahedral partitions. Zbl 0957.65012
Křížek, Michal; Pradlová, Jana
5
2000
Finite element analysis of variational crimes for a quasilinear elliptic problem in 3D. Zbl 0948.65129
Korotov, Sergey; Křížek, Michal
4
2000
On the existence of strongly regular families of triangulations for domains with a piecewise smooth boundary. Zbl 1060.65665
Korotov, Sergey; Křížek, Michal; Neittaanmäki, Pekka
3
1999
Finite element analysis of a nonlinear elliptic problem with a pure radiation condition. Zbl 0953.65081
Křížek, 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 0902.65001
Křížek, Michal; Neittaanmäki, Pekka
6
1998
Finite element approximation of a nonlinear heat conduction problem in anisotropic media. Zbl 0959.74067
Křížek, M.; Liu, L.
4
1998
Finite element analysis of a radiation heat transfer problem. Zbl 0919.65067
Liu, Liping; Křízek, Michal
2
1998
Finite element analysis of variational crimes for a nonlinear heat conduction problem in three-dimensional space. Zbl 0968.65069
Korotov, Sergey; Křížek, Michal
1
1998
Conforming finite element method for the Navier-Stokes problem. Zbl 0986.76042
Křížek, Michal; Liu, Liping
1
1998
How to generate local refinements of unstructured tetrahedral meshes satisfying a regularity ball condition. Zbl 0879.65078
Křížek, Michal; Strouboulis, Theofanis
19
1997
The second order optimality conditions for nonlinear mathematical programming with \(C^{1,1}\) data. Zbl 0903.90152
Liu, L.; Křížek, M.
11
1997
Mathematical and numerical modelling in electrical engineering. Theory and practice. Zbl 0859.65128
Křížek, Michal; Neittaanmäki, Pekka
3
1997
On a comparison principle for a quasilinear elliptic boundary value problem of a nonmonotone type. Zbl 0858.35008
Křížek, Michal; Liu, Liping
13
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
12
1996
How to recover the gradient of linear elements on nonuniform triangulations. Zbl 0870.65093
Hlaváček, Ivan; Křížek, Michal; Pištora, Vladislav
3
1996
Optimal interior and local error estimates of a recovered gradient of linear elements on nonuniform triangulations. Zbl 0861.65091
Hlaváček, I.; Křížek, M.
3
1996
On diagonal dominance of stiffness matrices in 3D. Zbl 0824.65112
Křížek, M.; Qun, L.
36
1995
Curved affine quadratic finite elements. Zbl 0853.65118
Koukal, Stanislav; Křížek, Michal
1
1995
Numerical experience with the three-body problem. Zbl 0851.70002
Křížek, Michal
1
1995
On Galerkin approximations of a quasilinear nonpotential elliptic problem of a nonmonotone type. Zbl 0802.65113
Hlaváček, 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 0820.65071
Křížek, Michal
3
1994
Higher order global accuracy of a weighted averaged gradient of the Courant elements on irregular meshes. Zbl 0837.65121
Křížek, Michal
2
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
1
1994
On the preconditioned biconjugate gradients for solving linear complex equations arising from finite elements. Zbl 0802.65039
Křížek, Michal; Mlýnek, Jaroslav
1
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
1
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
8
1993
Dual finite element analysis of three-dimensional axisymmetric elliptic problems. I. Zbl 0786.65089
Hlaváček, Ivan; Křížek, Michal
5
1993
On the maximum angle condition for linear tetrahedral elements. Zbl 0755.41003
Křížek, Michal
56
1992
Weight minimization of elastic bodies under weakly supporting tension. I: Domains with one curved side. Zbl 0767.73047
Hlaváček, Ivan; Křížek, Michal
2
1992
A nontraditional approach for solving the Neumann problem by the finite element method. Zbl 0771.65070
Křížek, Michal; Neittaanmäki, Pekka; Vondrák, Miroslav
1
1992
Weight minimization of elastic bodies under weakly supporting tension. II: Domains with two curved sides. Zbl 0767.73048
Hlaváček, Ivan; Křížek, Michal
1
1992
...and 20 more Documents
all top 5

Cited by 745 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 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 Li, Yonghai
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 645 more Authors
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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
24 Computers & Mathematics with Applications
23 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. 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 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 Communications in Computational Physics
3 Discrete Mathematics, Algorithms and Applications
2 Bulletin of the Australian Mathematical Society
2 Mathematical Methods in the Applied Sciences
2 The Mathematical Intelligencer
2 Advances in Mathematics
2 BIT
2 Calcolo
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 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
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Cited in 46 Fields

459 Numerical analysis (65-XX)
289 Partial differential equations (35-XX)
53 Number theory (11-XX)
47 Mechanics of deformable solids (74-XX)
41 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)
9 Group theory and generalizations (20-XX)
9 Classical thermodynamics, heat transfer (80-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)

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