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Adaptive Finite Element Method for an Electromagnetic Coefficient Inverse Problem

Larisa Beilina (Institutionen för matematiska vetenskaper, matematik)
AIP Conference Proceedings; International Conference on Numerical Analysis and Applied Mathematics Rhodes, GREECE, SEP 19-25, 2010 (0094-243X). Vol. 1281 (2010), p. 1052-1055 .
[Konferensbidrag, refereegranskat]

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.

Nyckelord: adaptive finite element method, Maxwell's equations, electromagnetic, coefficient inverse problem, ill-posed problems



Denna post skapades 2011-04-21. Senast ändrad 2015-07-09.
CPL Pubid: 139665

 

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Institutioner (Chalmers)

Institutionen för matematiska vetenskaper, matematik (2005-2016)

Ämnesområden

Tillämpad matematik

Chalmers infrastruktur