Second-order necessary conditions for domain optimization problems in elastic structures, part 1: Surface traction given as a field-Reference-Cited by-同舟云学术

Second-order necessary conditions for domain optimization problems in elastic structures, part 1: Surface traction given as a field

Published:1992-02 Issue:2 Volume:72 Page:355-382
ISSN:0022-3239
Container-title:Journal of Optimization Theory and Applications
language:en
Short-container-title:J Optim Theory Appl

Author:

Masanao T.,Fujii N.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Management Science and Operations Research,Control and Optimization

Link

http://link.springer.com/content/pdf/10.1007/BF00940523.pdf

Reference18 articles.

1. Bennet, J. A., andBotkin, M. E., Editors,The Optimum Shape: Automated Structural Design, Plenum Press, New York, New York, 1986.

2. Haslinger, J., andNeittaanmäki, P.,Theory and Finite-Element Applications of Optimal Shape Design Problems for Partial Differential Operators, John Wiley and Sons, Chichester, England, 1988.

3. Delfour, M. C.,Shape Analysis and Optimization in Distributed-Parameter Systems, Proceedings of the 5th IFAC Symposium on Control of Distributed Parameter Systems, Perpignan, France, pp. 43?51, 1989.

4. Delfour, M. C., andZolésio, J. P.,Computation of the Shape Hessian by a Lagrangian Method, Proceedings of the 5th IFAC Symposium on Control of Distributed Parameter Systems, Perpignan, France, pp. 85?90, 1989.

5. Goto, Y., andFujii, N.,A Newton's Method in a Domain Optimization Problem, Control of Boundaries and Stabilization, Edited by J. Simon, Springer-Verlag, New York, pp. 109?127, 1989.

Cited by 8 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. First‐order and second‐order sensitivity analyses for a body with a thin rigid inclusion;Mathematical Methods in the Applied Sciences;2014-12

2. Solving the Exterior Bernoulli Problem Using the Shape Derivative Approach;Mathematics and Computing 2013;2014

3. Domain sensitivity analysis of the elastic far-field patterns in scattering from nonsmooth obstacles;Journal of Mathematical Analysis and Applications;2002-08

4. Domain Sensitivity Analysis of the Elastic Far-Field Patterns;IUTAM Symposium on Diffraction and Scattering in Fluid Mechanics and Elasticity;2002

5. Generalized implicit function theorems and problems with a free boundary;Journal of Mathematical Sciences;1995-04