Weighted Polynomials

1992 ◽  
pp. 139-161 ◽  
Author(s):  
M. v. Golitschek
Keyword(s):  
Weighted Polynomials

Asymptotics of Weighted Polynomials

1992 ◽  
pp. 431-451 ◽  
Author(s):  
M. v. Golitschek ◽  
G. G. Lorentz ◽  
Y. Makovoz
Keyword(s):  
Weighted Polynomials

scholarly journals Theoretical scheme on numerical conformal mapping of unbounded multiply connected domain by fundamental solutions method

2000 ◽  
Vol 24 (2) ◽  
pp. 129-137 ◽  
Author(s):  
Tetsuo Inoue ◽  
Hideo Kuhara ◽  
Kaname Amano ◽  
Dai Okano
Keyword(s):  
Dirichlet Problem ◽  
Conformal Mapping ◽  
Fundamental Solutions ◽  
Multiply Connected Domains ◽  
Multiply Connected Domain ◽  
Numerical Conformal Mapping ◽  
Multiply Connected ◽  
Theoretical Scheme ◽  
Weighted Polynomials ◽  
Numerical Conformal Mappings

A potentially theoretical scheme in the fundamental solutions method, different from the conventional one, is proposed for numerical conformal mappings of unbounded multiply connected domains. The scheme is introduced from an algorithm on numerical Dirichlet problem, based on the asymptotic theorem on extremal weighted polynomials. The scheme introduced in this paper has the characteristic called “invariant and dual.”

scholarly journals Approximation by weighted polynomials

2003 ◽  
Vol 120 (1) ◽  
pp. 153-182 ◽  
Author(s):  
David Benko
Keyword(s):  
Weighted Polynomials

Shape Optimization of 3D Mechanical Systems Using Metamodels

2013 ◽  
Vol 705 ◽  
pp. 429-435
Author(s):  
Alexander Janushevskis ◽  
Anatolijs Melnikovs ◽  
Alexander Boyko
Keyword(s):  
Shape Optimization ◽  
Statistical Data ◽  
Lattice Structure ◽  
Optimization Technique ◽  
Design Parameters ◽  
Resource Saving ◽  
Software Packages ◽  
Weighted Polynomials ◽  
Computational Resources ◽  
Mechanical Objects

In this work resource saving technique is used for shape optimization of 3D mechanical objects. According to statistical data, appearance of cracks in the areas of barrel support pads of tank wagons often causes damages to the barrels. The shape optimization of barrel support pads of a tank wagon is implemented and, as result, the concentration of stresses is significantly reduced in the barrel support areas. The optimization technique is based on CAD/CAE, design of experiment, approximation and optimization software packages. The shape of the support pads is defined by NURBS polygon points that serve as design parameters. For reduction of computational resources, FE models of tank wagon are replaced with high-quality metamodels which are based on locally weighted polynomials. The specific recommendations for the shape of the pads are given. As the second object truly spatial tetrapod is considered. The optimal curved shape of the tetrapod for lattice structure is elaborated.

Uniform and mean approximation by certain weighted polynomials, with applications

1988 ◽  
Vol 4 (1) ◽  
pp. 21-64 ◽  
Author(s):  
D. S. Lubinsky ◽  
E. B. Saff
Keyword(s):  
Weighted Polynomials

scholarly journals Approximation by weighted polynomials in Rk

2005 ◽  
Vol 85 (3) ◽  
pp. 261-279 ◽  
Author(s):  
Maritza M. Branker
Keyword(s):  
Weighted Polynomials
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