Superconvergence of semidiscrete finite element methods for bilinear parabolic optimal control problems
نویسندگان
چکیده
In this paper, a semidiscrete finite element method for solving bilinear parabolic optimal control problems is considered. Firstly, we present a finite element approximation of the model problem. Secondly, we bring in some important intermediate variables and their error estimates. Thirdly, we derive a priori error estimates of the approximation scheme. Finally, we obtain the superconvergence between the semidiscrete finite element solutions and projections of the exact solutions. A numerical example is presented to verify our theoretical results.
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عنوان ژورنال:
دوره 2017 شماره
صفحات -
تاریخ انتشار 2017