scholarly journals An Asymptotic Relation for Conformal Radii of Two Nonoverlapping Domains

2018 ◽  
Vol 18 (3) ◽  
pp. 274-283
Author(s):  
A. V. Zherdev ◽  
Keyword(s):  
Asymptotic Relation ◽  
Nonoverlapping Domains

scholarly journals A New Mixed Functional-probabilistic Approach for Finite Element Accuracy

2020 ◽  
Vol 20 (4) ◽  
pp. 799-813
Author(s):  
Joël Chaskalovic ◽  
Franck Assous
Keyword(s):  
Finite Element ◽  
Finite Elements ◽  
Asymptotic Relation ◽  
Probabilistic Approach ◽  
Random Variable ◽  
High Order ◽  
Relative Accuracy ◽  
The Difference ◽  
New Perspective

AbstractThe aim of this paper is to provide a new perspective on finite element accuracy. Starting from a geometrical reading of the Bramble–Hilbert lemma, we recall the two probabilistic laws we got in previous works that estimate the relative accuracy, considered as a random variable, between two finite elements {P_{k}} and {P_{m}} ({k<m}). Then we analyze the asymptotic relation between these two probabilistic laws when the difference {m-k} goes to infinity. New insights which qualify the relative accuracy in the case of high order finite elements are also obtained.

GENERALIZING THE TITCHMARSH DIVISOR PROBLEM

2012 ◽  
Vol 08 (03) ◽  
pp. 613-629 ◽  
Author(s):  
ADAM TYLER FELIX
Keyword(s):  
Natural Number ◽  
Asymptotic Relation ◽  
Divisor Problem ◽  
Implied Constant ◽  
Artin's Conjecture ◽  
Primitive Roots

Let a be a natural number different from 0. In 1963, Linnik proved the following unconditional result about the Titchmarsh divisor problem [Formula: see text] where c is a constant dependent on a. Titchmarsh proved the above result assuming GRH for Dirichlet L-functions in 1931. We establish the following asymptotic relation: [Formula: see text] where Ck is a constant dependent on k and a, and the implied constant is dependent on k. We also apply it a question related to Artin's conjecture for primitive roots.

Semi-Markovian manpower models in continuous time

1979 ◽  
Vol 16 (2) ◽  
pp. 416-422 ◽  
Author(s):  
Alexander Mehlmann
Keyword(s):  
Continuous Time ◽  
Asymptotic Relation ◽  
General Properties ◽  
Population Numbers

This paper presents the general properties of the semi-Markovian manpower model in continuous time. The asymptotic relation for the population numbers in various grades is based on the forces of transition zij(u) from state i to state j at duration u.

scholarly journals The residual and the error for collocation methods

2001 ◽  
Vol 25 (12) ◽  
pp. 803-812
Author(s):  
A. H. Ahmed
Keyword(s):  
Asymptotic Relation ◽  
Collocation Methods

We use earlier results on collocation matrices related to the solution and its derivatives in describing asymptotic relation between the error on the highest derivative and the residuals. That justifies the use of the form of the residual rather than its norm in measuring the error.

Sign in / Sign up

Export Citation Format

Share Document