Finite element analysis and approximations of phase-lock equations of superconductivity (Q1347808)

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scientific article; zbMATH DE number 1736537
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Finite element analysis and approximations of phase-lock equations of superconductivity
scientific article; zbMATH DE number 1736537

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    Finite element analysis and approximations of phase-lock equations of superconductivity (English)
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    19 February 2003
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    This paper deals with the relations between phase-lock equations and Ginzburg-Landau equations of superconductivity. Moreover the author applies the finite element method to the phase-lock equations. The author establishes optimal convergence result for both semidiscrete approximations and fully discrete approximations. To this end the author discretizes the time variable using the backward Euler method.
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    optimal convergence result
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    Ginzburg-Landau equations
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    superconductivity
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    semi-discrete approximations
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    fully discrete approximations
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    backward Euler method
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