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Some elements of Dynamic Geometry and optimization in Physics
Geometry and Physics fractals compatibility criteria growth process accommodation
2009/1/7
The strong connection of the Physics and Geometry is wellknown,
beginning with the roots in the geometrical similitude of the important
method of the Physics similarity, up to the recent development...
A Note on Estimates of Diagonal Elements of the Inverse of Diagonally Dominant Tridiagonal Matrices
Tridiagonal matrices Bounds of entries of the inverse
2010/1/25
In this note we show how to improve some recent upper and lower bounds for the elements of the inverse of diagonally dominant tridiagonal matrices. In particular, a technique described by [R. Peluso, ...
Some Elements of Finite Order in $K_2 Q$
$K_2\mathbb Q $ cyclotomic polynomial Diophantine equation
2007/12/13
Let $K_2$ be the Milnor functor and let $\Phi_n(x)\in{\mathbb Q}[x]$ be the $n$-th cyclotomic polynomial. Let $G_n(\mathbb Q)$ denote a subset consisting of elements of the form $\{a, \Phi_n(a)\},$ wh...
QUADRILATERAL FINITE ELEMENTS FOR PLANAR LINEAR ELASTICITY PROBLEM WITH LARGE LAM$\{'E}$ CONSTANT
Planar linear elasticity optimal error estimates large Lam\'{e} constant locking phenomenon
2007/12/12
In this paper, we discuss the quadrilateral finite element approximation
to the two-dimensional linear elasticity problem associated with a
homogeneous isotropic elastic material. The optimal conver...
PRECONDITIONING HIGHER ORDER FINITE ELEMENTSYSTEMS BY ALGEBRAICMULTIGRID METHOD OF LINEAR ELEMENTS
2007/12/12
We present and analyze a robust preconditioned conjugate gradient
method for the higher order Lagrangian finite element systems of
a class of elliptic problems. An auxiliary linear element
stiffnes...
We examine a simple averaging formula for the gradient
of linear finite elements in $R^d$ whose interpolation order
in the $L^q$-norm is $\Cal O(h^2)$ for $d<2q$ and nonuniform
triangulations. For ...
We introduce a finite element scheme which yields the O(h~4)-superconvergence at nodes when solving a second order elliptic problem. Finite element functions used are globally continuous and bilinear ...
Testing Linear Dependence of Hyperexponential Elements
Testing Linear Dependence Hyperexponential Elements
2013/9/3
A Wronskian (resp. Casoratian) criterion is useful to test linear dependence of elements in a differential(resp. difference) field over constants. We generalize this criterion for invertible hyperexpo...
On the regular elements in Zn
Regular elements Eular's phi-function von Neumann regular rings
2010/2/25
All rings are assumed to be finite commutative with identity element. An element a \in R is called a regular element if there exists b \in R such that a=a2b, the element b is called a von Neumann inve...
Analysis of Some Low Order Qqadrilateral Reissner-Mindlin Plate Elements
Plate Elements Reissner-Mindlin plate model
2012/8/1
Four quadrilateral elements for the Reissner-Mindlin plate model are considered. The elements are the stabilized MITC4 element of Lyly, Stenberg and Vihinen [27], the MIN4 element of Tessler and Hughe...
Two Nonconforming Quadrilateral Elements for the Reissner-Mindlin Plate
Locking-free Quadrilateral nonconforming rotated Q1 element Reissner-Mindlin Plate
2012/8/1
We construct two low order nonconforming quadrilateral elements for the Reissner-Mindlin plate. The rst one consists of a modied nonconforming rotated Q1 element for one component of the rotation an...
Extreme Points of Certain Subsets of Hermitian Elements in Banach Algebras
Extreme points hermitian elements
2010/2/26
We consider the real Banach spaces H(A) of all hermitian elements of a complex Banach algebra A. We prove that if an even power of a \in N(A) is hermitian, then a is an extreme point of the unit ball ...
Elements of a Global Operator Approach to Wess-Zumino-Novikov-Witten Models
Elements Global Operator Wess-Zumino-Novikov-Witten Models
2010/10/29
Elements of a global operator approach to the WZNW models for compact Riemann surfaces of arbitrary genus g with N marked points were given by Schlichenmaier and Sheinman. This contribution reports o...
Conjugacy Classes of Elliptic Elements in the Picard Group
Conjugacy Classes Elliptic Elements Picard Group
2010/3/1
The Picard group \mathbf{P} is a discrete subgroup of PSL(2,\Bbb{C}) with Gaussian integer coefficients. Here it is shown that the total number of conjugacy classes of elliptic elements of order 2 and...