Robust error estimates for the finite element approximation of elliptic optimal control problems (Q654746)

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scientific article; zbMATH DE number 5991202
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Robust error estimates for the finite element approximation of elliptic optimal control problems
scientific article; zbMATH DE number 5991202

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    Robust error estimates for the finite element approximation of elliptic optimal control problems (English)
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    21 December 2011
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    The authors study the finite element approximation of an elliptic optimal control problem. They derive robust a priori error estimates for optimal control and state and an a posteriori error estimate. The paper concludes with a discussion of some numerical results in order to verify the theoretical results discussed. This is obtained with two examples.
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    robust error estimates
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    finite element approximation
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    elliptic optical control problems
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    small penalty parameter
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    convex
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    polyhedral
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    projection operator
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    bang-bang control problem
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    Lagrange interpolation operator
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    numerical experiments
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