Some computational tests for inverse conductivity problems based on vector, variational principles: The 2D case

L. Bandeira and P. Pedregal

Mathematics and Computers in Simulation (MATCOM), 2024, vol. 218, issue C, 704-721

Abstract: We focus on several direct vector, variational principles to tackle the practical recovery problem of an unknown conductivity coefficient from boundary measurements. Though the problem is classical and have received a lot of attention because of its practical significance, the variational methods we explore are not so. Despite difficulties associated with the vector nature of the problems, including lack of (quasi, poly)-convexity, experiments show remarkable performance of some of the functionals examined. Beyond the specific meaning of such computations for inverse conductivity problems, the task of approximating the optimal solutions of vector, variational problems, as in hyperelasticity models or non-linear PDE systems at the level of optimality, is also interesting on its own right.

Keywords: Gradient methods; Inverse problems; Non-linear systems of partial differential equations; Vector variational methods (search for similar items in EconPapers)
Date: 2024
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378475423005244
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:218:y:2024:i:c:p:704-721

DOI: 10.1016/j.matcom.2023.12.017

Access Statistics for this article

Mathematics and Computers in Simulation (MATCOM) is currently edited by Robert Beauwens

More articles in Mathematics and Computers in Simulation (MATCOM) from Elsevier
Bibliographic data for series maintained by Catherine Liu ().