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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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
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Abstract	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.
AbstractList	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.
Author	Goubet, O. Darbas, M. Lohrengel, S.
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Cites_doi	10.1051/cocv:1998106 10.1007/BF01396415 10.1016/0022-247X(91)90104-8 10.1007/BF03167891 10.1007/BF01084611 10.1002/mma.1670020103 10.1137/S0036139997323383 10.1137/0327019 10.1051/m2an:1999123 10.1137/S0363012998344373 10.1016/j.cma.2006.07.007 10.1093/imanum/drm012 10.1016/S0022-247X(02)00709-6 10.1051/cocv:2000103 10.1007/s002050050197 10.4171/JEMS/153 10.1016/S0021-9991(03)00309-7 10.1137/0330055
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Keywords	Finite elements H.U.M Two-grid preconditioned conjugate gradient algorithm Exact boundary controllability Second order Maxwell system
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Title	Exact boundary controllability of the second-order Maxwell system: Theory and numerical simulation
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