LSSC 2009: Large-Scale Scientific Computing pp 40-53 | Cite as
On Finite Element Error Estimates for Optimal Control Problems with Elliptic PDEs
Conference paper
Abstract
Discretizations of optimal control problems for elliptic equations by finite element methods are considered. The problems are subject to constraints on the control and may also contain pointwise state constraints. Some techniques are surveyed to estimate the distance between the exact optimal control and the associated optimal control of the discretized problem. As a particular example, an error estimate for a nonlinear optimal control problem with finitely many control values and state constraints in finitely many points of the spatial domain is derived.
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