An augmented Lagrangian method for parameter identifications in parabolic systems

DOI10.1006/jmaa.2001.7593zbMath0995.35080OpenAlexW2075138478MaRDI QIDQ5955572

Jun Zou, Ben-yu Guo

Publication date: 13 October 2002

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.2001.7593

zbMATH Keywords

saddle pointaugmented Lagrangian functionalconductivity coefficientminimization of constrained functionals

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Initial-boundary value problems for second-order parabolic equations (35K20) Inverse problems for PDEs (35R30) Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49K30)

Related Items (9)

A wavelet multiscale method for the inverse problem of a nonlinear convection-diffusion equation ⋮ An inverse problem for computing a leading coefficient in the Sturm-Liouville operator by using the boundary data ⋮ Parameter estimation of temperature dependent material parameters in the cooling process of TMCP steel plates ⋮ An LGSM to identify nonhomogeneous heat conductivity functions by an extra measurement of temperature ⋮ Parameter estimation with the augmented Lagrangian method for a parabolic equation ⋮ Simultaneous identification of parameters and initial datum of reaction diffusion system by optimization method ⋮ Identification of diffusion parameters in a nonlinear convection-diffusion equation using the augmented Lagrangian method ⋮ Identification of space-dependent permeability in nonlinear diffusion equation from interior measurements using wavelet multiscale method ⋮ An adaptive homotopy method for permeability estimation of a nonlinear diffusion equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Remarks on parameter identification. I
• Lectures on optimization - theory and algorithms. Notes by M. K. V. Murthy
• Estimation techniques for distributed parameter systems
• Identification of Discontinuous Parameters in Flow Equations
• The Augmented Lagrangian Method for Parameter Estimation in Elliptic Systems
• The Parameter Estimation Problem for Parabolic Equations and Discontinuous Observation Operators
• An Augmented Lagrangian Method for Identifying Discontinuous Parameters in Elliptic Systems
• Numerical identifications of parameters in parabolic systems
• Augmented Lagrangian-SQP-Methods in Hilbert Spaces and Application to Control in the Coefficients Problems

This page was built for publication: An augmented Lagrangian method for parameter identifications in parabolic systems