Identification of matrix parameters in elliptic PDEs

by Deckelnick, K; Hinze, M.


Preprint series: 11-03, Preprints

49J20 Optimal control problems involving partial differential equations
49K20 Problems involving partial differential equations
35B37 PDE in connection with control problems, See also {49J20, 49K20, 93C20}


Abstract: We consider the inverse problem of identifying the matrix-valued diffusion coefficient of an elliptic PDE from measurements with the help of techniques from PDE constrained optimization. We prove existence of solutions using the concept of H-convergence and employ variational discretization for the discrete approximation of solutions. Using a discrete version of H-convergence we are able to establish the strong convergence of the discrete solutions.

Keywords: Parameter identification, elliptic optimal control problem, control constraints, H-convergence, variational discretization

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Letzte Änderung: 01.03.2018 - Ansprechpartner:

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