Počet záznamů: 1  

Identification problems with given material interfaces

  1. 1. 0482339 - UGN-S 2018 RIV NL eng J - Článek v odborném periodiku
    Haslinger, Jaroslav - Blaheta, Radim - Hrtus, Rostislav
    Identification problems with given material interfaces.
    Journal of Computational and Applied Mathematics. Roč. 310, January 2017 (2017), s. 129-142 ISSN 0377-0427
    Grant CEP: GA MŠk ED1.1.00/02.0070; GA MŠk LQ1602
    Institucionální podpora: RVO:68145535
    Klíčová slova: identification of conductivity coefficients * control of systems by coefficients of PDE * algebraic sensitivity analysis * scalarization technique * pumping test
    Kód oboru RIV: BA - Obecná matematika
    Obor OECD: Applied mathematics
    Impakt faktor: 1.632, rok: 2017

    This paper is devoted to the identification of coefficients in scalar elliptic partial differential
    equations using an optimal control approach. The coefficients usually can be interpreted
    as material characteristics and play the role of the control variable. The paper focuses on
    processes in domains which can be split into a finite number of materially homogeneous
    subdomains, i.e. the coefficients to be identified are piecewise constant on them. In
    addition, we assume that the material interfaces are a priori known.Weprove the existence
    of at least one solution of the optimal control problem for a large class of cost functionals
    and show that solutions can be obtained as limits of solutions to the problems which
    are governed by finite element discretizations of the state equations. Further, the unified
    algebraic sensitivity analysis of the first and the second order for several least squares type
    cost functions is investigated. Finally, a model problem of the identification of coefficients
    characterizing hydraulic conductivity by pumping tests in groundwater flow modeling is
    numerically solved using the sequential approach and the scalarization technique.
    Trvalý link: http://hdl.handle.net/11104/0277752
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