Seminar Paper

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Information Seminar Paper

Title

OPTIMAL CONTROL OF A PARABOLIC DISTRIBUTED SYSTEM VIA NONMONOTONE L-BFGS METHOD

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Abstract

OPTIMAL CONTROL OF PROCESSES GOVERNED BY PARTIAL DIFFERENTIAL EQUATIONS HAS SEEN CONSIDERABLE PROGRESS IN THE PAST DECADE. THE APPROPRIATE TREATMENT OF SUCH PROBLEMS REQUIRES A FUNDAMENTAL UNDERSTANDING OF THE SUBTLE INTERPLAY BETWEEN OPTIMIZATION IN FUNCTION SPACES AND NUMERICAL DISCRETIZATION TECHNIQUES AND RELIES ON ADVANCED METHODOLOGIES FROM THE THEORY OF PDES AND NUMERICAL ANALYSIS AS WELL AS SCIENTIFIC COMPUTING. THIS PAPER FOCUSES ON OPTIMAL CONTROL PROBLEMS WHERE THE STATE EQUATION IS A DIFFUSION EQUATION AND WE SOLVE THE DISCRETIZATION FORM OF THIS PROBLEM VIA THE NO NMONOTONE L-BFGS METHOD.

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