Error estimates for the finite element discretization of semi-infinite elliptic optimal control problems | Zendy

Pedro Merino | Zendy; Ira Neitzel | Zendy; Fredi Tröltzsch | Zendy

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Error estimates for the finite element discretization of semi-infinite elliptic optimal control problems

Author(s) -

Pedro Merino,

Ira Neitzel,

Fredi Tröltzsch

Publication year - 2010

Publication title -

discussiones mathematicae differential inclusions control and optimization

Language(s) - English

Resource type - Journals

eISSN - 2084-0365

pISSN - 1509-9407

DOI - 10.7151/dmdico.1121

Subject(s) - finite element method , discretization , mathematics , discretization error , control (management) , elliptic curve , calculus (dental) , computer science , mathematical analysis , structural engineering , engineering , medicine , artificial intelligence , dentistry

In this paper we derive a priori error estimates for linear-quadratic elliptic optimal control problems with finite dimensional control space and state constraints in the whole domain, which can be written as semi-infinite optimization problems. Numerical experiments are conducted to underline our theory.

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