Geodesic
Convergence of a~discrete scheme in a~regularization method for the quasi-stationary Maxwell system in a~non-homogeneous conducting medium
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 14 (2011) no. 3, pp. 319-332

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Convergence of a discrete solution to the solution of a regularized system of the Maxwell equations written in terms of a vector magnetic potential with a special calibration of the medium conductance is considered. The problem is discretized by the Nedelec vector finite element method in space and by the implicit Euler scheme in time. An optimal theoretical energy estimate of the approximate solution error in the 3D Lipschitz polyhedral domains is obtained. 
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     author = {M. V. Urev},
     title = {Convergence of a~discrete scheme in a~regularization method for the quasi-stationary {Maxwell} system in a~non-homogeneous conducting medium},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
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     url = {http://geodesic.mathdoc.fr/item/SJVM_2011_14_3_a7/}
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M. V. Urev. Convergence of a~discrete scheme in a~regularization method for the quasi-stationary Maxwell system in a~non-homogeneous conducting medium. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 14 (2011) no. 3, pp. 319-332. http://geodesic.mathdoc.fr/item/SJVM_2011_14_3_a7/