A Numerical Study of an Augmented Lagrangian Method for the Estimation of Parameters in Elliptic Systems

DOI10.1137/0912048zbMath0728.65100OpenAlexW1991338276MaRDI QIDQ3352422

M. Kroller, Kazufumi Ito, Karl Kunisch

Publication date: 1991

Published in: SIAM Journal on Scientific and Statistical Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0912048

zbMATH Keywords

parameter estimationinverse problemaugmented Lagrangian methodelliptic equationoutput least squares methodequation-error technique

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Applications to the sciences (65Z05)

Related Items (8)

Regularization in state space ⋮ A \(C^0\) finite element method for an inverse problem ⋮ Estimation of a temporally and spatially varying diffusion coefficient in a parabolic system by an augmented Lagrangian technique ⋮ Convergence rates for Tikhonov regularization of a two-coefficient identification problem in an elliptic boundary value problem ⋮ On Error Bounds and Multiplier Methods for Variational Problems in Banach Spaces ⋮ An ADMM-Newton-CNN numerical approach to a TV model for identifying discontinuous diffusion coefficients in elliptic equations: convex case with gradient observations ⋮ SQP methods for parameter identification problems arising in hyperthermia ⋮ A numerical method for parameter identification of a boundary value problem

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