An E-based splitting finite element method for time-dependent eddy current equations

Authors:
Tong Kang;Kwang Ik Kim;Zhengpeng Wu
Affiliations:
Department of Applied Mathematics, School of Sciences, Communication University of China, Beijing, PR China;Department of Mathematics, Pohang University of Science and Technology, Pohang, Republic of Korea;Department of Mathematics, Fudan University, Shanghai, PR China
Venue:
Journal of Computational and Applied Mathematics
Year:
2006

Citing 7
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Journal of Computational and Applied Mathematics - Special issue: Proceedings of the 6th Japan--China joint seminar on numerical mathematics, university of Tsukuba, Japan, 5-9 August 2002

Analysis of a FEM-BEM model posed on the conducting domain for the time-dependent eddy current problem

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A new H-splitting decoupled scheme for a transient eddy current problem over an unbounded domain

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Abstract

A new decoupled finite element method is suggested to approximate time-dependent eddy current equations in a three-dimensional polyhedral domain. This method is based on solving a vector and a scalar from the splitting of the electric field by using edge and nodal finite elements. An optimal energy-norm error estimate in finite time is obtained by introducing a projection operator.