A Priori Error Estimates for Finite Element Discretizations of Parabolic Optimization Problems with Pointwise State Constraints in Time
نویسندگان
چکیده
In this paper, we consider an optimal control problem, which is governed by a linear parabolic equation and is subject to state constraints pointwise in time. Optimal order error estimates are developed for a space-time finite element discretization of this problem. Numerical examples confirm the theoretical results. As a byproduct of our analysis, we derive a new regularity result for the optimal control.
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ورودعنوان ژورنال:
- SIAM J. Control and Optimization
دوره 49 شماره
صفحات -
تاریخ انتشار 2011