An optimal control problem with nonlinear elliptic state equations (Q1192140)

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scientific article; zbMATH DE number 60588
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An optimal control problem with nonlinear elliptic state equations
scientific article; zbMATH DE number 60588

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    An optimal control problem with nonlinear elliptic state equations (English)
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    27 September 1992
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    Existence of optimal controls for a class of nonlinear problems which contain, in particular, second order semilinear elliptic equations is established. Several finite element algorithms for the numerical solution of these control problems are presented, and their convergence properties are studied. The theory is illustrated by some numerical examples.
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    second order semilinear elliptic equations
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    finite element algorithms
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    numerical solution
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    convergence properties
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