Results 231 to 240 of about 121,962 (260)

On the Accuracy of Shape Sensitivity Derivatives

1989
Six methods for calculating shape sensitivity derivatives are compared for a two-material beam problem with a moving interface. It is found that as the finite-element mesh is refined, displacement sensitivity derivatives converge more slowly that the displacement themselves.
Raphael T. Haftka, Bruno Barthelemy
openaire   +1 more source

Topological Derivatives for Shape Reconstruction

2008
Topological derivative methods are used to solve constrained optimization reformulations of inverse scattering problems. The constraints take the form of Helmholtz or elasticity problems with different boundary conditions at the interface between the surrounding medium and the scatterers.
Ana Carpio, Maria Luisa Rapún
openaire   +1 more source

A geometrical derivation of the shape density

Advances in Applied Probability, 1991
The density for the shapes of random configurations of N independent Gaussian-distributed landmarks in the plane with unequal means was first derived by Mardia and Dryden (1989a). Kendall (1984), (1989) describes a hierarchy of spaces for landmarks, including Euclidean figure space containing
Goodall, Colin R., Mardia, Kanti V.
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Shape derivatives for nonsmooth domains

2006
The object of this paper is to study the Shape gradient and the Shape Hessian by the Velocity (Speed) Method for arbitrary domains with or without constraints. It makes the connection between methods using a family of transformations such as first or second order Perturbations of the Identity Operator.
M. C. Delfour, J. P. Zolésio
openaire   +1 more source

Shape Derivatives for Linear Problems

1992
In this chapter the form of the material derivatives and the shape derivatives for linear boundary value problems as well as initial boundary value problems is derived.
Jan Sokolowski, Jean-Paul Zolesio
openaire   +1 more source

Derived Shape Features for Brain Hemorrhage Classification

2019
This paper presents the potential of derived shape features in the classification of the brain hemorrhage. Derived shape features are secondary features which are calculated from commonly used popular primary shape features. These features contain more relevant information having higher dependency on the shape of the target hemorrhage.
Soumi Ray, Vinod Kumar
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Derivation of shape derivative for the nanoelasticity problem

2020
Timon Rabczuk, Jeong-Hoon Song, Xiaoying Zhuang, Cosmin Anitescu   +3 more
openaire   +1 more source

Some novel mathematical analysis on a corneal shape model by using Caputo fractional derivative

Optik, 2022
Vedat Suat Erturk, Pushpendra Kumar, V Govindaraj   +2 more
exaly  

On numerical study of constrained coupled shape optimization problems based on a new shape derivative method

Numerical Methods for Partial Differential Equations, 2023
Azeddine Sadik
exaly  

Shape functions, derivatives and integration

2013
O.C. Zienkiewicz, R.L. Taylor, J.Z. Zhu
openaire   +1 more source