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Accuracy analysis of the semi-analytical method for shape sensitivity calculation

29th Structures, Structural Dynamics and Materials Conference, 1988
The semianalytical method of design sensitivity analysis that is widely used for calculating derivatives of static response with respect to design variables for structures modeled by finite elements is studied. It is shown that the method can have serious accuracy problems for shape design variables in structures modeled by beam, plate, truss, frame ...
Bruno Barthelemy, Raphael T. Haftka
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A Semi-Analytical Method

2020
Yu Guo, Albert C. J. Luo
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SEMI-ANALYTICAL SENSITIVITY METHODS FOR AEROELASTIC SHAPE OPTIMIZATION

Accurate and efficient sensitivity analysis is fundamental for the convergence of gradient-based optimization techniques. Analytical sensitivity methods are preferred over numerical ones for their accuracy and higher computational efficiency. Although analytical sensitivity methods have been developed for different static structural and purely ...
Giuseppe Maurizio Gagliardi   +2 more
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A Semi-analytical Method

2022
Albert C. J. Luo, Chuan Guo
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A Semi-analytical Method for Finding the Roots of a Polynomial

IETE Journal of Education, 2014
ABSTRACTA systematic method, which combines graphical, analytical, and numerical techniques, is presented for finding the roots of a polynomial P0(s) of any degree. Real roots are first found by a simple graphical method, and then the purely imaginary roots are found by the Hurwitz test.
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A semi-analytic method for pole determination of asteroids

The Moon and the Planets, 1981
A semi-analytic method, obtained collecting amplitude-aspect and magnitude-aspect relations, is given in order to deduce the pole coordinates of asteroids. The accuracy of this method (5–10°), which needs some restrictive hypotheses, seems to be sufficient for statistical purposes.
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Semi-Analytic Methods for the Navier-Stokes Equations

1999
Probabilities and conditional averages in turbulence by E. S. C. Ching Spatiotemporal chaos in large systems: The scaling of complexity with size by H. S. Greenside Empirical dynamical system reduction I: Global nonlinear transformations by M. Kirby and R. Miranda Empirical dynamical system reduction II: Neural charts by D. R. Hundley, M. Kirby, and R.
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Semi-analytical source (SAS) method for 3-D transient heat conduction problems with moving heat source of arbitrary shape

International Journal of Heat and Mass Transfer, 2021
Baris Cetin   +2 more
exaly  

Analytical and Semi-analytical Methods in Transport Theory

1991
It is not an entirely simple matter to describe when transport theory came into existence, or, indeed, what exactly does constitute transport theory. Certainly the term has been used at times interchangeably with kinetic theory. On the other hand, it does seem that the group of researchers who, over the past three or four decades, have identified ...
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