Work

Globally strongly convex cost functional for a coefficient inverse problem

Year: 2013

Type: preprint

Abstract: A Carleman Weight Function (CWF) is used to construct a new cost functional for a Coefficient Inverse Problems for a hyperbolic PDE. Given a bounded set of an arbitrary size in a certain Sobolev space, one can choose the parameter of the CWF in such a way that the constructed cost functional will be strongly convex on that set. Next, convergence of the gradient method, which starts from an arbitrary point of that set, is established. Since restrictions on the size of that set are not imposed, then this is the global convergence.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1312.2886

Authors: Beilina, Larisa, Klibanov, Michael V.

Institutions: Chalmers University of Technology, University of Gothenburg, University of North Carolina at Charlotte

Language: English

Topic: Numerical methods in inverse problems

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Stiftelsen för Strategisk Forskning, Vetenskapsrådet, Army Research Office, Army Research Laboratory

Awards: G234144843, G4261559099, G5259331294, G7452299184, G862988727

OpenAlex ID: W2186525570

Cites: 16

Cited by:

Related to: 20