Adaptive Finite Element Method for an Electromagnetic Coefficient Inverse Problem
Paper in proceedings, 2010

We present an adaptive finite element method for solution of an electromagnetic coefficient inverse problem to reconstruct the dielectric permittivity and magnetic permeability functions. The inverse problem is formulated as an optimal control problem, where we solve the equations of optimality expressing stationarity of an associated Lagrangian by a quasi-Newton method: in each step we compute the gradient by solving a forward and an adjoint equation. We formulate an adaptive algorithm which can be used to efficiently solve electromagnetic coefficient inverse problem.

coefficient inverse problem

adaptive finite element method

ill-posed problems

electromagnetic

Maxwell's equations

Author

Larisa Beilina

Chalmers, Mathematical Sciences, Mathematics

University of Gothenburg

AIP Conference Proceedings

0094-243X (ISSN) 1551-7616 (eISSN)

Vol. 1281 1052-1055

Subject Categories

Computational Mathematics

DOI

10.1063/1.3497811

ISBN

978-0-7354-0834-0

More information

Created

10/7/2017