On the second-order shape derivative of the Kohn-Vogelius objective functional using the velocity method
From MaRDI portal
Publication:274790
DOI10.1155/2015/954836zbMath1337.49073OpenAlexW2194905154WikidataQ59106963 ScholiaQ59106963MaRDI QIDQ274790
Jerico B. Bacani, Julius Fergy T. Rabago
Publication date: 25 April 2016
Published in: International Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2015/954836
shape optimizationshape derivativeexterior Bernoulli free boundary problemKohn-Vogelius objective functional
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On computation of the shape Hessian of the cost functional without shape sensitivity of the state variable
- The second-order shape derivative of Kohn-Vogelius-type cost functional using the boundary differentiation approach
- On a Kohn-Vogelius like formulation of free boundary problems
- On the shape derivative for problems of Bernoulli type
- Shape optimization and fictitious domain approach for solving free boundary problems of Bernoulli type
- On the first-order shape derivative of the Kohn-Vogelius cost functional of the Bernoulli problem
- Numerical solution of the free-boundary Bernoulli problem using a level set formulation
- Variational approach to shape derivatives for a class of Bernoulli problems
- Shape Optimization for Free Boundary Problems – Analysis and Numerics
- Tracking Neumann Data for Stationary Free Boundary Problems
- Velocity Method and Lagrangian Formulation for the Computation of the Shape Hessian
- Shape optimization and trial methods for free boundary problems
- Introduction to Shape Optimization
This page was built for publication: On the second-order shape derivative of the Kohn-Vogelius objective functional using the velocity method
