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A posteriori error estimate in the lagrangian setting for an inverse problem based on a new formulation of Maxwell’s system

John Bondestam Malmberg (Institutionen för matematiska vetenskaper, matematik)
Springer Proceedings in Mathematics and Statistics: 3rd Annual Workshop on Inverse Problems, 2013, Stockholm, Sweden, 2-6 May 2013 (2194-1009). Vol. 120 (2015), p. 43-53.
[Konferensbidrag, refereegranskat]

In this paper we consider an inverse problem of determination of a dielectric permittivity function from a backscattered electromagnetic wave. The inverse problem is formulated as an optimal control problem for a certain partial differential equation derived from Maxwell’s system. We study a solution method based on finite element approximation and provide a posteriori error estimate for the use in an adaptive algorithm.

Denna post skapades 2015-05-19. Senast ändrad 2016-09-22.
CPL Pubid: 217224


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