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Regularization method for solving the quasi-stationary Maxwell equations in an inhomogeneous conducting medium. (Russian, English) Zbl 1249.78005
Zh. Vychisl. Mat. Mat. Fiz. 52, No. 3, 564-576 (2012); translation in Comput. Math. Math. Phys. 52, No. 3, 476-488 (2012).
Summary: Nédélec vector finite elements are used for the numerical solution of a regularized version of the quasi-stationary Maxwell equations written in terms of a scalar and a vector magnetic potential with special calibration taking into account the conductivity of the medium. An optimal energy estimate for the error of the approximate solution in Lipschitz polyhedral domains is established. Numerical results are presented that demonstrate the stability of the method.

MSC:
78A25 Electromagnetic theory, general
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