Discretization Error Estimates for an Optimal Control Problem in a Nonconvex Domain
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- Apel T., Rösch A., Winkler G. (2006) Discretization Error Estimates for an Optimal Control Problem in a Nonconvex Domain. In: de Castro A.B., Gómez D., Quintela P., Salgado P. (eds) Numerical Mathematics and Advanced Applications. Springer, Berlin, Heidelberg
An optimal control problem for a 2-d elliptic equation and with pointwise control constraints is investigated. The domain is assumed to be polygonal but non-convex. The corner singularities are treated by a priori mesh grading. A second order approximation of the optimal control is constructed by a projection of the discrete adjoint state. Here we summarize the results from  and add further numerical tests.
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