Convexification Numerical Method for a Coefficient Inverse Problem for the Riemannian Radiative Transfer Equation-Reference-Cited by-同舟云学术

Convexification Numerical Method for a Coefficient Inverse Problem for the Riemannian Radiative Transfer Equation

Published:2023-08-29 Issue:3 Volume:16 Page:1762-1790
ISSN:1936-4954
Container-title:SIAM Journal on Imaging Sciences
language:en
Short-container-title:SIAM J. Imaging Sci.

Author:

Klibanov Michael V.¹,Li Jingzhi²^ORCID,Nguyen Loc H.¹,Romanov Vladimir³,Yang Zhipeng⁴^ORCID

Affiliation:

1. Department of Mathematics and Statistics, University of North Carolina at Charlotte, Charlotte, NC 28223 USA.

2. Department of Mathematics & National Center for Applied Mathematics Shenzhen & SUSTech International Center for Mathematics, Southern University of Science and Technology, Shenzhen 518055, People’s Republic of China.

3. Sobolev Institute of Mathematics, Novosibirsk, 630090, Russian Federation.

4. Department of Mathematics, Southern University of Science and Technology, Shenzhen 518055, People’s Republic of China.

Funder

National Natural Science Foundation of China

National Science Foundation

Natural Science Foundation of Guangdong Province

Science, Technology and Innovation Commission of Shenzhen Municipality

Siberian Branch, Russian Academy of Sciences

University of North Carolina at Charlotte

Publisher

Society for Industrial & Applied Mathematics (SIAM)

Subject

Applied Mathematics,General Mathematics

Reference49 articles.

1. A stabilized P1 domain decomposition finite element method for time harmonic Maxwell’s equations

2. Carleman weight functions for a globally convergent numerical method for ill-posed Cauchy problems for some quasilinear PDEs

3. Inverse transport theory and applications

4. Generalized stability estimates in inverse transport theory

5. Inverse Source Problems in Transport Equations

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