Adaptive Finite Element Method For Variable Coefficient Ginzburg-Landau Equation

In this paper,we propose a gradient recovery-based a posterior error estimator for variable coefficient Ginzburg-Landau equation.Theoretically,the reliability and efficiency can be proved later,namely,we give the upper and lower bound of the estimator.And then we apply a posterior error estimator to the adaptive algorithm.According to some certain marking strategy,the adaptive algorithm is proved to be convergent.At the end of this paper,some numerical examples are given to verify the reliability and validity of the a posterior error estimator.