Regularity properties in parameter estimation of diffusion coefficients in one dimensional elliptic boundary value problems

DOI10.1080/00036818608839584zbMath0585.49008OpenAlexW2020842297MaRDI QIDQ3711102

Karl Kunisch, Luther W. White

Publication date: 1986

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036818608839584

zbMATH Keywords

Lagrange multiplieroutput least squares parameter estimationlocal and global regularity

Mathematics Subject Classification ID

System identification (93B30) Methods involving semicontinuity and convergence; relaxation (49J45) Inverse problems involving ordinary differential equations (34A55)

Related Items

Estimation of elastic parameters in beams and certain plates: \(H^ 1\)- regularization, A review of some recent results on the output least squares formulation of parameter estimation problems, Estimation of flexural rigidity in a Kirchhoff plate model, Output least squares stability in elliptic systems, Estimation of elastic coefficients in beams with parameter constraints: Penalization, Parameter estimation with model order reduction for elliptic differential equations, Estimation of higher-order damping terms in linear plate models, Estimation of elastic parameters in a von Karman model, The augmented Lagrangian method for equality and inequality constraints in Hilbert spaces, Sequential quadratic programming for certain parameter identification problems, Identification of flexural rigidity in a dynamic plate model, Estimation of elastic coefficients for a multiple beam structure

Cites Work

• Regularity and stability for the mathematical programming problem in Banach spaces
• Identification of Parameters in Distributed Parameter Systems by Regularization
• Parameter Estimation, Regularity and the Penalty Method for a Class of Two Point Boundary Value Problems