Estimation of discontinuous parameters in linear elliptic equations by a regularized inverse problem

Estimation of discontinuous parameters in linear elliptic equations by a regularized inverse problem

To calculate the parameters k in a stationary model Aku=ffrom measurements yˆof the solution u, i.e. to solve the inverse problem, usually a regularized minimization problem is solved and its solution kˆis considered as estimate of the true parameters. We focus on a situation which occurs e.g. for t...

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Bibliographic Details
Main Authors: Jochen Merker, Aleš Matas
Format: Article
Language:English
Published: Elsevier 2022-06-01
Series:Partial Differential Equations in Applied Mathematics
Subjects:
Linear elliptic PDE
Discontinuous coefficients
Optimal control
Inverse problem
Total variation minimization
Higher integrability
Online Access:http://www.sciencedirect.com/science/article/pii/S266681812200064X

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http://www.sciencedirect.com/science/article/pii/S266681812200064X

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