Results 141 to 150 of about 2,193,515 (195)

Cost Function Shaping

2012
Chapter 6 deals with the cost function shaping concept. Cost function shaping is the name that we have given to a set of procedures and maneuvers that change the cost function so that it is more amenable to optimization, yet maintaining its original design objective.
Alexandre Sanfelice Bazanella, Lucíola Campestrini, Diego Eckhard   +2 more
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The S-Shaped Utility Function

Synthese, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Studying Shape Through Size Functions

1994
According to a recent mathematical theory the intuitive concept of shape can be formalized through functions, named size functions, which convey information on both the topological and metric properties of the viewed shape. In this paper the main concepts and results of the theory are first reviewed in a somewhat intuitive fashion.
VERRI, ALESSANDRO, Uras C.
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A shape function codewriter

Communications in Applied Numerical Methods, 1988
AbstractA unified matrix algorithm is used to formalize the construction of shape functions for two‐dimensional serendipity quadrilateral elements. Listings are presented for two codewriters which automatically generate FORTRAN and PASCAL functions for shape function calculations.
M. A. Aladjem, M. D. Mikhalov
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The Shaping of Functional Analysis

Bulletin of the London Mathematical Society, 1997
This paper (based on a lecture given in Oxford in May 1995) outlines the development of linear functional analysis over the years 1895-1938. It is remarked that although up to 1909 much had been achieved in dealing with various problems in the field, no general unifying theme was visible at this date.
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Element shape functions (basic functions)

1972
1. For best results complete polynomial exponents needed. 2. ‘Continuity’ (C0) ensured if along any side number of nodes = degree of expansion along s — 1. 3. Completeness satisfied if complete first order polynomial present. 4. Shape function Ni best derived ‘by inspection’ rather than inversion of polynomial.
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Shape Sensitivity Analysis of Nonsmooth Shape Functionals

1995
This paper deals with the shape design sensitivity analysis of domain dependent functionals that arise in optimal compliance design for simultaneous optimization of material and structure [2]. Under appropriate regularity assumptions on deformations of geometrical domains by means of the material derivative method the directional differentiability for ...
Martin P. Bendsøe, Jan Sokołowski
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Shape Optimal Design Using Natural Shape Functions

1988
The problem of concern is to find the optimum shape of an elastic body such that the weight is minimized subject to limits on the Von-Mises stress within each element. However, the basic approach and computational aspects apply to other types of shape optimization problems [1,2].
A. D. Belegundu, S. D. Rajan
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Shape Function

2009
Paul Ayers, Andrés Cedillo
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One-Dimensional Shape Functions

2004
The Galerkin finite element method requires the use of the test functions w in polynomial form. We will first define the local and global linear and quadratic Lagrange and Hermite interpolation shape functions. These interpolation shape functions are used in the next two chapters to solve one-dimensional steady-state second-order and fourth-order ...
Prem K. Kythe, Dongming Wei
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