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Erschienen in:
New Applications of γ-Quasiconvexity Kapitel lesen Erstes Kapitel lesen

2018 | OriginalPaper | Buchkapitel

Stability Analysis of the Inverse Problem of Parameter Identification in Mixed Variational Problems

verfasst von : M. Cho, A. A. Khan, T. Malysheva, M. Sama, L. White

Erschienen in: Applications of Nonlinear Analysis

Verlag: Springer International Publishing

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Abstract

Numerous applications lead to inverse problems of parameter identification in mixed variational problems. These inverse problems are commonly studied as optimization problems, and there are a variety of optimization formulations. The known formulations include an output least-squares (OLS), an energy OLS (EOLS), and a modified OLS (MOLS). This work conducts a detailed study of various stability aspects of the inverse problem under data perturbation and gives new stability estimates for general inverse problems using the OLS, EOLS, and MOLS formulations. We present applications of our theoretical results.

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Vorheriges Kapitel On Lagrangian Duality in Infinite Dimension and Its Applications
Nächstes Kapitel Nonlinear Duality in Banach Spaces and Applications to Finance and Elasticity
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Metadaten
Titel
Stability Analysis of the Inverse Problem of Parameter Identification in Mixed Variational Problems
verfasst von
M. Cho
A. A. Khan
T. Malysheva
M. Sama
L. White
Copyright-Jahr
2018
Buch
Applications of Nonlinear Analysis

Print ISBN: 978-3-319-89814-8

Electronic ISBN: 978-3-319-89815-5

Copyright-Jahr: 2018

DOI
https://doi.org/10.1007/978-3-319-89815-5_4