A numerical scheme for the Maxwell equations in the quasi-static regime with a non-local source (Q961541)
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scientific article; zbMATH DE number 5688839
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| English | A numerical scheme for the Maxwell equations in the quasi-static regime with a non-local source |
scientific article; zbMATH DE number 5688839 |
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A numerical scheme for the Maxwell equations in the quasi-static regime with a non-local source (English)
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31 March 2010
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The authors study a fully discrete finite element approach for a quasi-static Maxwell system with a non-local field-dependent source term. The convergence of a backward Euler scheme combined with Nedelec's second family of edge elements is proved and error estimates are given. The application of the method to an optimization problem for magnetic shielding in low-frequency electromagnetism is presented.
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finite elements
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full discretization
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non-local source
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error estimates
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