Exact boundary controllability of the second-order Maxwell system: Theory and numerical simulation

The exact controllability of the second order time-dependent Maxwell equations for the electric field is addressed through the Hilbert Uniqueness Method. A two-grid preconditioned conjugate gradient algorithm is employed to inverse the H.U.M. operator and to construct the numerical control. The unde...

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Bibliographic Details
Published in:	Computers & mathematics with applications (1987) Vol. 63; no. 7; pp. 1212 - 1237
Main Authors:	Darbas, M., Goubet, O., Lohrengel, S.
Format:	Journal Article
Language:	English
Published:	Elsevier Ltd 01.04.2012 Elsevier
Subjects:	Exact boundary controllability Finite elements H.U.M Mathematics Numerical Analysis Second order Maxwell system Two-grid preconditioned conjugate gradient algorithm Finite elements H.U.M Two-grid preconditioned conjugate gradient algorithm Exact boundary controllability Second order Maxwell system
ISSN:	0898-1221, 1873-7668
Online Access:	Get full text
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Summary:	The exact controllability of the second order time-dependent Maxwell equations for the electric field is addressed through the Hilbert Uniqueness Method. A two-grid preconditioned conjugate gradient algorithm is employed to inverse the H.U.M. operator and to construct the numerical control. The underlying initial value problems are discretized by Lagrange finite elements and an implicit Newmark scheme. Two-dimensional numerical experiments illustrate the performance of the method.
ISSN:	0898-1221 1873-7668
DOI:	10.1016/j.camwa.2011.12.046