Reconstruction of a time dependent source term from a single boundary measurement in Maxwell's equations with nonlinear generalized Ohm's law

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:334

Article

Chovan, Jaroslav¹  Slodicka, Marian¹ 

[1] Univ Ghent, Dept Math Anal, Krijgslaan 281, B-9000 Ghent, Belgium

关键词: Maxwell's equations;    Inverse source problem;    Rothe's method;    Boundary measurement;   

DOI  :  10.1016/j.cam.2017.11.014

来源: Elsevier

【 摘 要 】

Hyperbolic Maxwell's equation with an unknown time dependent source is investigated. We consider a nonlinear generalized Ohm's law in our model. The source is reconstructed from a single boundary measurement over a part of the boundary. We use well-known Rothe's method to show the existence of a solution. In the case of regular solution, we provide a uniqueness proof as well. To support theoretical results a numerical experiment is provided. (C) 2017 Elsevier B.V. All rights reserved.

【 授权许可】

Free