期刊论文详细信息
Mathematics | |
The Second-Order Shape Derivative of Kohn–Vogelius-Type Cost Functional Using the Boundary Differentiation Approach | |
Jerico B. Bacani1  Gunther Peichl2  | |
[1] Department of Mathematics and Computer Science, College of Science, University of the Philippines Baguio, Governor Pack Road, Baguio 2600, Philippines;Institute for Mathematics and Scientific Computing, University of Graz, Heinrichstrasse 36, A-8010 Graz, Austria; | |
关键词: Bernoulli problem; boundary value problems; shape derivative; boundary differentiation; | |
DOI : 10.3390/math2040196 | |
来源: DOAJ |
【 摘 要 】
A shape optimization method is used to study the exterior Bernoulli free boundaryproblem. We minimize the Kohn–Vogelius-type cost functional over a class of admissibledomains subject to two boundary value problems. The first-order shape derivative of the costfunctional is recalled and its second-order shape derivative for general domains is computedvia the boundary differentiation scheme. Additionally, the second-order shape derivative ofJ at the solution of the Bernoulli problem is computed using Tiihonen’s approach.
【 授权许可】
Unknown