scholarly journals A nonlinear Korn inequality on a surface with an explicit estimate of the constant

2021 ◽  
Vol 359 (2) ◽  
pp. 105-111
Author(s):  
Maria Malin ◽  
Cristinel Mardare
Keyword(s):  
Explicit Estimate ◽  
Korn Inequality

scholarly journals A nonlinear Korn inequality in $\protect \mathbb{R}^n$ with an explicitly bounded constant

2020 ◽  
Vol 358 (5) ◽  
pp. 621-626
Author(s):  
Maria Malin ◽  
Cristinel Mardare
Keyword(s):  
Korn Inequality

A Spatially Explicit Estimate of Avoided Forest Loss

2011 ◽  
Vol 25 (5) ◽  
pp. 1032-1043 ◽  
Author(s):  
JORDI HONEY-ROSÉS ◽  
KATHY BAYLIS ◽  
M. ISABEL RAMÍREZ
Keyword(s):  
Forest Loss ◽  
Spatially Explicit ◽  
Explicit Estimate

scholarly journals On Explicit Bounds In Schottky's Theorem

1955 ◽  
Vol 7 ◽  
pp. 76-82 ◽  
Author(s):  
J. A. Jenkins
Keyword(s):  
Explicit Estimate ◽  
Absolute Value ◽  
Schottky’S Theorem ◽  
Explicit Bounds

1. Introduction. To Schottky is due the theorem which states that a function F(Z), regular and not taking the values 0 and 1 in |Z| < 1 and for which F(0) = a0, is bounded in absolute value in |Z| ≤ r, 0 ≤ r < 1, by a number depending only on a0 and r. Let K(a0 r) denote the best possible bound in this result. Various authors have dealt with the problem of giving an explicit estimate for this bound.

Two low-order nonconforming finite element methods for the Stokes flow in three dimensions

2018 ◽  
Vol 39 (3) ◽  
pp. 1447-1470 ◽  
Author(s):  
Jun Hu ◽  
Mira Schedensack
Keyword(s):  
Finite Element ◽  
Finite Element Methods ◽  
Stokes Flow ◽  
Three Dimensions ◽  
Nonconforming Finite Element ◽  
Discrete Problem ◽  
Piecewise Affine ◽  
Korn Inequality ◽  
Nonconforming Finite Element Methods ◽  
Low Order

Abstract In this paper, we propose two low-order nonconforming finite element methods (FEMs) for the three-dimensional Stokes flow that generalize the nonconforming FEM of Kouhia & Stenberg (1995, A linear nonconforming finite element method for nearly incompressible elasticity and Stokes flow. Comput. Methods Appl. Mech. Eng, 124, 195–212). The finite element spaces proposed in this paper consist of two globally continuous components (one piecewise affine and one enriched component) and one component that is continuous at the midpoints of interior faces. We prove that the discrete Korn inequality and a discrete inf–sup condition hold uniformly in the mesh size and also for a nonempty Neumann boundary. Based on these two results, we show the well-posedness of the discrete problem. Two counterexamples prove that there is no direct generalization of the Kouhia–Stenberg FEM to three space dimensions: the finite element space with one nonconforming and two conforming piecewise affine components does not satisfy a discrete inf–sup condition with piecewise constant pressure approximations, while finite element functions with two nonconforming and one conforming component do not satisfy a discrete Korn inequality.

scholarly journals Supplementary material to "An explicit estimate of the atmospheric nutrient impact on global oceanic productivity"

2020 ◽  
Author(s):  
Stelios Myriokefalitakis ◽  
Matthias Gröger ◽  
Jenny Hieronymus ◽  
Ralf Döscher
Keyword(s):  
Explicit Estimate ◽  
Supplementary Material

On asymptotic properties of the distribution of the number of pairs of H-connected tuples

2002 ◽  
Vol 12 (4) ◽  
Author(s):  
V. G. Mikhailov
Keyword(s):  
Asymptotic Properties ◽  
Sufficient Conditions ◽  
Basic Research ◽  
Poisson Approximation ◽  
Explicit Estimate ◽  
Research Grants ◽  
Local Variant ◽  
Sufficient Conditions For Convergence ◽  
Stein Method ◽  
Independent Identically Distributed

AbstractThe main result of this paper is a theorem about convergence of the distribution of the number of pairs of H-connected s-tuples in two independent sequences of independent identically distributed variables. The concept of H-connection is a generalisation of the concept of H-equivalence of tuples. We give sufficient conditions for convergence and an explicit estimate of the rate of convergence. We use the local variant of the Chen-Stein method for estimating the accuracy of Poisson approximation for distribution of the set of dependent random indicators. The main results of this paper were announced in [7].The research was supported by the Russian Foundation for Basic Research, grants 02-01-00266 and 00-15-96136.

Sign in / Sign up

Export Citation Format

Share Document