Finite Element Approximation for Shape Optimization Problems with Neumann and Mixed Boundary Conditions

DOI10.1137/100783236zbMath1238.49059OpenAlexW2075260581MaRDI QIDQ3093636

Dan Tiba

Publication date: 18 October 2011

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/100783236

zbMATH Keywords

convergencefinite element approximationshape optimizationdomains of class \(C\)

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Optimization of shapes other than minimal surfaces (49Q10) Discrete approximations in optimal control (49M25)

Related Items (7)

Optimal actuator location of minimum norm controls for heat equation with general controlled domain ⋮ On the new coupled complex boundary method in shape optimization framework for solving stationary free boundary problems ⋮ Continuous dependence of optimal control to controlled domain of actuator for heat equation ⋮ On optimal location of diffusion and related optimal control for null controllable heat equation ⋮ Optimal actuator location for time and norm optimal control of null controllable heat equation ⋮ Observability Inequality of Backward Stochastic Heat Equations for Measurable Sets and Its Applications ⋮ Optimal actuator location of the minimum norm controls for stochastic heat equations

This page was built for publication: Finite Element Approximation for Shape Optimization Problems with Neumann and Mixed Boundary Conditions