Shape sensitivity analysis for a Robin problem via minimax differentiability

DOI10.1016/j.amc.2006.01.081zbMath1105.65073OpenAlexW2012209992MaRDI QIDQ856096

Zhiming Gao, Yi-Chen Ma

Publication date: 7 December 2006

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2006.01.081

zbMATH Keywords

algorithmoptimal controlnumerical examplesminimax formulationshape optimizationEulerian derivative

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Existence of solutions for minimax problems (49J35) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items

Optimal shape design for the time‐dependent Navier–Stokes flow, Optimal shape design for Stokes flow via minimax differentiability, Shape optimization for Navier–Stokes flow, Shape gradient of the dissipated energy functional in shape optimization for the viscous incompressible flow, Shape-topology optimization for Navier-Stokes problem using variational level set method, A new stabilized finite element method for shape optimization in the steady Navier-Stokes flow, Shape optimization of a body in the Oseen flow, Unsteady flow optimization by a stabilized finite element method, Drag minimization for Navier-Stokes Flow, Sensitivity analysis for some inverse problems in linear elasticity via minimax differentiability

Uses Software

• FreeFem++

Cites Work

• Lectures on optimization - theory and algorithms. Notes by M. K. V. Murthy
• Directional derivative of a minimax function
• Shape Sensitivity Analysis via Min Max Differentiability
• Introduction to Shape Optimization
• Equivalent Norms for Sobolev Spaces
• Acoustic and electromagnetic equations. Integral representations for harmonic problems
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