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An E-based splitting method with a non-matching grid for eddy current equations with discontinuous coefficients - MaRDI portal

An E-based splitting method with a non-matching grid for eddy current equations with discontinuous coefficients (Q2572034)

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An E-based splitting method with a non-matching grid for eddy current equations with discontinuous coefficients
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    An E-based splitting method with a non-matching grid for eddy current equations with discontinuous coefficients (English)
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    14 November 2005
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    The main purpose of the present paper is twofold: firstly, to apply the finite element method in the study of eddy current equations with discontinuous coefficients; secondly, to present an \textbf{E}-based splitting finite element method with a non-matching grid. The analysis carried in the paper strongly depends on the associated variational form which takes into account the optimal control formulation. Next, a fully discrete decoupled scheme with non-matching grid is proposed. In the last part of the paper it is deduced the optimal energy-norm error estimate.
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    eddy current equations
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    interface problem
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    E-based splitting method
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    edge and nodal elements
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    non-matching grid
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    error estimate
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