Abstract
Fully discrete potential-based finite element methods called \({\mathbf{A}-\phi}\) methods are used to solve a transient eddy current problem in a three-dimensional convex bounded polyhedron. Using \({\mathbf{A}-\phi}\) methods, fully discrete coupled and decoupled numerical schemes are developed. The existence and uniqueness of solutions for these schemes together with the energy-norm error estimates are provided. To verify the validity of both schemes, some computer simulations are performed for the model from TEAM Workshop Problem 7.
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Communicated by C.C. Douglas.
This work was supported by Postech BSRI Research Fund-2009, National Basic Research Program of China (2008CB425701), NSFC under the grant 10671025 and the Key Project of Chinese Ministry of Education (No. 107018).
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Kang, T., Kim, K.I. Fully discrete potential-based finite element methods for a transient eddy current problem. Computing 85, 339–362 (2009). https://doi.org/10.1007/s00607-009-0049-4
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DOI: https://doi.org/10.1007/s00607-009-0049-4