Identification of nonlinear heat transfer laws by optimal control

DOI10.1080/01630569408816573zbMath0811.49004OpenAlexW2047682575MaRDI QIDQ4296730

Arnd Rösch

Publication date: 18 July 1994

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630569408816573

zbMATH Keywords

optimal controlnumerical methodheat equationidentification of the heat exchange coefficient

Mathematics Subject Classification ID

Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items (8)

Identification of the thermal growth characteristics of coagulated tumor tissue in laser-induced thermotherapy ⋮ Dynamics identification in evolution models using radial basis functions ⋮ Reconstruction of boundary condition laws in heat conduction using the boundary element method ⋮ Identification of nonlinear heat transfer laws from boundary observations ⋮ Fréchet differentiability of the solution of the heat equation with respect to a nonlinear boundary condition ⋮ On the identification and optimization of nonsmooth superposition operators in semilinear elliptic PDEs ⋮ Uniqueness for an inverse problem for a nonlinear parabolic system with an integral term by one-point Dirichlet data ⋮ Estimation of unknown boundary functions in an inverse heat conduction problem using a mollified marching scheme

Cites Work

• Unnamed Item
• Parabolic evolution equations and nonlinear boundary conditions
• Estimation of a temporally and spatially varying diffusion coefficient in a parabolic system by an augmented Lagrangian technique
• Optimal control for parabolic equations
• The Augmented Lagrangian Method for Parameter Estimation in Elliptic Systems

This page was built for publication: Identification of nonlinear heat transfer laws by optimal control