Identification of matrix parameters in elliptic PDEs

• Autorzy: Deckelnick K. , Hinze M.
• Języki publikacji: EN

Abstrakty

EN

In the present work we treat the inverse problem of identifying the matrix-valued diffusion coefficient of an elliptic PDE from multiple interior 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. Finally we present some numerical results.

Słowa kluczowe

EN

parameter identification; elliptic optimal control problem; control constraints; H-convergence; variational discretization

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2011
• Tom: Vol. 40, no 4
• Strony: 957--969
• Opis fizyczny: Bibliogr. 18 poz., wykr.

Twórcy

autor

Deckelnick K.

autor

Hinze M.

• Institut fur Analysis und Numerik, Otto-von-Guericke-Universitat Magdeburg Universitatsplatz 2, 39106 Magdeburg, Germany

Bibliografia

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