Paper Info
Title
Lipschitz Stable Determination Of Polygonal Conductivity Inclusions In A Two-Dimensional Layered Medium From The Dirichlet-To-Neumann Map
Abstract
Using a distributed representation formula of the Gateaux derivative of the Dirichlet-to-Neumann map with respect to movements of a polygonal conductivity inclusion, [Beretta, et al., J. Comput. Phys., 353 (2018), pp. 264-280], we extend the results obtained in [E. Beretta and E. Francini, Appl. Anal., to appear], proving global Lipschitz stability for the determination of a polygonal conductivity inclusion, embedded in a two-dimensional layered medium, from knowledge of the Dirichlet-to-Neumann map.
Year
DOI
Venue
2021
10.1137/20M1369609
SIAM JOURNAL ON MATHEMATICAL ANALYSIS
Keywords
DocType
Volume
polygonal inclusions, conductivity equation, shape derivative, inverse problems, stability
Journal
53
Issue
ISSN
Citations 
4
0036-1410
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Elena Beretta1156.06
Elisa Francini2102.99
Sergio Vessella3124.98