Adaptive Galerkin Methods with Error Control for a Dynamical Ginzburg-Landau Model in Superconductivity

The time-dependent Ginzburg-Landau model which describes the phase transitions taking place in superconductors is a coupled system of nonlinear parabolic equations. It is discretized semi-implicitly in time and in space via continuous piecewise linear finite elements. A posteriori error estimates ar...

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Veröffentlicht in:	SIAM journal on numerical analysis 2001, Vol.38 (6), p.1961-1985
Hauptverfasser:	Chen, Zhiming, Dai, Shibin
Format:	Artikel
Sprache:	eng
Schlagworte:	A posteriori knowledge Algorithms Applied mathematics Computational mathematics Curl Error rates Estimation methods Estimators Exact sciences and technology Finite element method Magnetic fields Mathematics Methods Modeling Numerical analysis Numerical analysis. Scientific computation Partial differential equations, initial value problems and time-dependant initial-boundary value problems Phase transitions Sciences and techniques of general use Superconductivity Vortices
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