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On semiregular families of triangulations and linear interpolation
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}\leqExpand
On the maximum angle condition for linear tetrahedral elements
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 theExpand
On Nonobtuse Simplicial Partitions
This paper surveys some results on acute and nonobtuse simplices and associated spatial partitions, the generalization of right triangles to higher dimensions. Expand
Second-order optimality conditions for nondominated solutions of multiobjective programming with C1,1 data
We examine new second-order necessary conditions and sufficient conditions which characterize nondominated solutions of a generalized constrained multiobjective programming problem. The vector-valuedExpand
Mathematical and Numerical Modelling in Electrical Engineering Theory and Applications
Glossary of Symbols. Foreword. 1. Introduction. 2. Mathematical Modelling of Physical Phenomena. 3. Mathematical Background. 4. Finite Elements. 5. Conjugate Gradients. 6. Magnetic Potential ofExpand
Superconvergence phenomenon in the finite element method arising from averaging gradients
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 continuousExpand
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 andExpand
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 alsoExpand
On superconvergence techniques
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 superconvergentExpand
Dissection of the path-simplex in R-n into n path-subsimplices
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 ofExpand