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Digitale Medien

Semidiscrete Ritz-Galerkin approximation of nonlinear parabolic boundary control problems—Strong convergence of optimal controls (1994)

Tröltzsch, Fredi

Springer

Applied mathematics & optimization 29 (1994), S. 309-329

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ISSN: 1432-0606

Schlagwort(e): Optimal control ; Parabolic equation ; Nonlinear boundary condition ; State constraint ; Ritz-Galerkin approximation ; 49K20 ; 65K10 ; 65M60

Quelle: Springer Online Journal Archives 1860-2000

Thema: Mathematik

Notizen: Abstract A class of optimal control problems for a parabolic equation with nonlinear boundary condition and constraints on the control and the state is considered. Associated approximate problems are established, where the equation of state is defined by a semidiscrete Ritz-Galerkin method. Moreover, we are able to allow for the discretization of admissible controls. We show the convergence of the approximate controls to the solution of the exact control problem, as the discretization parameter tends toward zero. This result holds true under the assumption of a certain sufficient second-order optimality condition.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/BF01189480

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