This article is cited in 2 papers

Convergence of a discrete scheme in a regularization method for the quasi-stationary Maxwell system in a non-homogeneous conducting medium

M. V. Urev<sup>ab

a</sup> Institute of Computational Mathematics and Mathematical Geophysics (Computing Center), Siberian Branch of the Russian Academy of Sciences, Novosibirsk
^b Novosibirsk State University, Novosibirsk

Abstract: 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.

Key words: quasi-stationary Maxwell equations, finite element method, discontinuous coefficients, error estimates.

UDC: 519.632

Received: 20.12.2010

 English version: Numerical Analysis and Applications, 2011, 4:3, 258–269

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