On solving constrained shape optimization problems for finding the optimum shape of a bar cross-section

DOI10.1016/J.APNUM.2007.04.019zbMath1143.65052OpenAlexW2084192546MaRDI QIDQ932782

H. Hashemi Mehne

Publication date: 11 July 2008

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2007.04.019

zbMATH Keywords

linear programmingoptimal shape designmeasure theorytorsional rigiditybending rigidity

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Numerical methods based on nonlinear programming (49M37) Optimization of shapes other than minimal surfaces (49Q10)

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Cites Work

• On an optimal shape design problem to control a thermoelastic deformation under a prescribed thermal treatment
• Minimum-weight design of multi-purpose cylindrical bars
• Measure theoretical approach for optimal shape design of a nozzle
• An adjoint approach to optimal design of turbine blades
• Slot nozzle design with specified pressure in a given subregion by using embedding method
• Numerical Solution of Elliptic Shape Optimization Problems using wavelet-based BEM
• Shapes and measures
• Newton's Method for a Class of Optimal Shape Design Problems
• Wing drag minimization by using measure theory
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