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On semiregular families of triangulations and linear interpolation

- M. Krízek
- Mathematics
- 1991

We consider triangulations formed by triangular elements. For the standard linear interpolation operator $\pi__h$ we prove the interpolation order to be $\left\|v-{\pi__h} v\right\|_{1,p}\leq… Expand

On the maximum angle condition for linear tetrahedral elements

- M. Krízek
- Mathematics
- 1 April 1992

Synge’s maximum angle condition for triangular elements is generalized to tetrahedral elements. For the generalized condition, it is proved that tetrahedra may degenerate in a certain way and the… Expand

On Nonobtuse Simplicial Partitions

- J. Brandts, S. Korotov, M. Krízek, J. Solc
- Mathematics, Computer Science
- SIAM Rev.
- 1 May 2009

TLDR

Second-order optimality conditions for nondominated solutions of multiobjective programming with C1,1 data

- Liping Liu, P. Neittaanmäki, M. Krízek
- Mathematics
- 1 October 2000

We examine new second-order necessary conditions and sufficient conditions which characterize nondominated solutions of a generalized constrained multiobjective programming problem. The vector-valued… Expand

Mathematical and Numerical Modelling in Electrical Engineering Theory and Applications

- M. Krízek, P. Neittaanmäki
- Mathematics
- 30 September 1996

Glossary of Symbols. Foreword. 1. Introduction. 2. Mathematical Modelling of Physical Phenomena. 3. Mathematical Background. 4. Finite Elements. 5. Conjugate Gradients. 6. Magnetic Potential of… Expand

Superconvergence phenomenon in the finite element method arising from averaging gradients

- M. Krízek, P. Neittaanmäki
- Mathematics
- 1 February 1984

SummaryWe study a superconvergence phenomenon which can be obtained when solving a 2nd order elliptic problem by the usual linear elements. The averaged gradient is a piecewise linear continuous… Expand

On a Connection of Number Theory with Graph Theory

We assign to each positive integer n a digraph whose set of vertices is H = {0, 1, ..., n − 1} and for which there is a directed edge from a ∈ H to b ∈ H if a2 ≡ b (mod n). We establish necessary and… Expand

On the Convergence of Series of Reciprocals of Primes Related to the Fermat Numbers

We examine densities of several sets connected with the Fermat numbers Fm=22m+1. In particular, we prove that the series of reciprocals of all prime divisors of Fermat numbers is convergent. We also… Expand

On superconvergence techniques

- M. Krízek, P. Neittaanmäki
- Mathematics
- 1 July 1987

A brief survey with a bibliography of superconvergence phenomena in finding a numerical solution of differential and integral equations is presented. A particular emphasis is laid on superconvergent… Expand

Dissection of the path-simplex in R-n into n path-subsimplices

- J. Brandts, S. Korotov, M. Krízek
- Mathematics
- 1 March 2007

Abstract We review properties of acute and non-obtuse simplices, and of ortho-simplices and path-simplices. Dissection of path-simplices is considered, which leads to a new result: generalization of… Expand

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