Van Bockstal, Karel

English

Ghent University Academic Bibliography

Book of abstracts of the 7th International Conferenceon Advanced Computational Methodsin Engineering, ACOMEN 201718–22 September 2017.The reconstruction of a time-dependent source from a surfacemeasurement for full Maxwell’s equations by means of thepotential eld methodRan Wang1, Karel Van Bockstal2 and Tong Kang11 Department of Applied Mathematics, Communication University of China2 Department of Mathematical Analysis, research group of Numerical Analysis andMathematical Modeling (NaM2), Ghent Universitye-mails: ranwang@cuc.edu.cn, karel.vanbockstal@ugent.be, kangtong@cuc.edu.cnAbstractThis paper is devoted to the study of an inverse source problem governed by fullMaxwell’s equations by means of the potential eld method (theA-ϕ method). The sourceterm is assumed to be separable in time and space, in which the unknown part is solelytime-dependent and is recovered from a surface measurement. We prove that the solutionto the inverse problem based on theA-ϕ formulation is existing and unique. We suggest aconstructive scheme for approximating the solution and discuss its convergence. Finally,a few examples are presented to verify the theoretical results.Key words: Maxwell’s equations, inverse source problem, A-ϕ method, reconstruction,time discretizationMSC 2010: 35Q60, 65N30, 65M60ACOMEN 2017169

The reconstruction of a time-dependent source from a surface measurement for full Maxwell’s equations by means of the potential field method

https://biblio.ugent.be/publication/8533419/file/8533423

The reconstruction of a time-dependent source from a surface measurement for full Maxwell’s equations by means of the potential field method

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