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An improved error estimate for Maxwell's equations with a power-law nonlinear conductivity - MaRDI portal

An improved error estimate for Maxwell's equations with a power-law nonlinear conductivity (Q2344482)

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An improved error estimate for Maxwell's equations with a power-law nonlinear conductivity
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    An improved error estimate for Maxwell's equations with a power-law nonlinear conductivity (English)
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    15 May 2015
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    This paper deals with the study of a fully discrete finite element method for the Maxwell equations with a power-law nonlinear conductivity. The main result establishes an error estimate for both time and space discretization. The proof strongly relies on the construction of a finite element space based on Nédélec's curl-conforming edge elements.
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    nonlinear Maxwell's equations
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    backward Euler
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    edge elements
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    error estimate
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