MLS-based variable-node elements compatible with quadratic interpolation. Part II: application for finite crack element

2005 ◽  
Vol 65 (4) ◽  
pp. 517-547 ◽  
Author(s):  
Young-Sam Cho ◽  
Seyoung Im
Keyword(s):  
Variable Node ◽  
Quadratic Interpolation ◽  
Finite Crack ◽  
Crack Element

On the Opening of a Finite Crack Normal to an Interface

1973 ◽  
Vol 40 (2) ◽  
pp. 626-628 ◽  
Author(s):  
N. E. Ashbaugh
Keyword(s):  
Finite Crack

scholarly journals Bandwidth scheduling for big data transfer with two variable node-disjoint paths

2020 ◽  
Vol 22 (2) ◽  
pp. 130-144
Author(s):  
Aiqin Hou ◽  
Chase Qishi Wu ◽  
Liudong Zuo ◽  
Xiaoyang Zhang ◽  
Tao Wang ◽  
...  
Keyword(s):  
Big Data ◽  
Data Transfer ◽  
Disjoint Paths ◽  
Bandwidth Scheduling ◽  
Variable Node

scholarly journals Piecewise Rational Quadratic Interpolation to Monotonic Data

1982 ◽  
Vol 2 (2) ◽  
pp. 123-130 ◽  
Author(s):  
J. A. GREGORY ◽  
R. DELBOURGO
Keyword(s):  
Quadratic Interpolation

scholarly journals Approximation and application of the Riesz-Caputo fractional derivative of variable order with fixed memory

Meccanica ◽  
2021 ◽  
Author(s):  
Tomasz Blaszczyk ◽  
Krzysztof Bekus ◽  
Krzysztof Szajek ◽  
Wojciech Sumelka
Keyword(s):  
Differential Operator ◽  
Fractional Derivative ◽  
Rate Of Convergence ◽  
Continuum Mechanics ◽  
Caputo Fractional Derivative ◽  
Polynomial Interpolation ◽  
Piecewise Linear ◽  
Variable Order ◽  
Piecewise Constant ◽  
Quadratic Interpolation

AbstractIn this paper, the Riesz-Caputo fractional derivative of variable order with fixed memory is considered. The studied non-integer differential operator is approximated by means of modified basic rules of numerical integration. The three proposed methods are based on polynomial interpolation: piecewise constant, piecewise linear, and piecewise quadratic interpolation. The errors generated by the described methods and the experimental rate of convergence are reported. Finally, an application of the Riesz-Caputo fractional derivative of space-dependent order in continuum mechanics is depicted.

Mathematical Modelling the Power Supply-Load System for Electro-Discharge Polishing Process

2010 ◽  
Vol 159 ◽  
pp. 125-128
Author(s):  
A. Parshuta ◽  
V. Chitanov ◽  
Lilyana Kolaklieva ◽  
Roumen Kakanakov
Keyword(s):  
Mathematical Model ◽  
Mathematical Modelling ◽  
Numerical Solution ◽  
Power Supply ◽  
Equation System ◽  
Electrolyte Temperature ◽  
Polishing Process ◽  
The Real ◽  
Quadratic Interpolation ◽  
Runge Kutta

The real electro-discharge polishing (EDP) system has been presented by an equivalent electrical scheme and described by a corresponded equation system. The Runge-Kutta-Merson method with automatically changed step is used for the numerical solution the equation system. The current through the resistor equivalent to the steam gas wrapper is defined with an I-V characteristic obtained by the method of multi-interval quadratic interpolation-approximation. A mathematical model of the power supply-load system has been realized in Basic and Matlab® languages. On the base of the developed modelling conditions limiting the current and voltage overload in the EDP system have been determined depending on the maximum polished area and the electrolyte temperature.

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