In the existence proofs, we have already used the discretization method and proved convergence. Although we did not give specific a priori error estimates, they are not very difficult to obtain. In this chapter, however, we discuss the a posteriori error analysis in the numerical analysis of the two-d G-L system that is more interesting from the numerical analysis point of view. We discuss both the Galerkin method and the finite element method.
KeywordsDual Problem Posteriori Error Stability Estimate Posteriori Error Estimate Gauge Choice
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