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Solution of inverse boundary-value problems for multicomponent parabolic distributed systems

  • Systems Analysis
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Cybernetics and Systems Analysis Aims and scope

Abstract

Computational algorithms implementing gradient methods based on solution of direct and adjoint problems in weak formulations are proposed for a number of complex-valued inverse problems of parameter renewal in multicomponent parabolic distributed systems. This approach makes it unnecessary to construct Lagrangian functionals explicitly and to use Green’s functions.

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Authors and Affiliations

  1. V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kyiv, Ukraine

    I. V. Sergienko & V. S. Deineka

Authors
  1. I. V. Sergienko
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  2. V. S. Deineka
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Translated from Kibernetika i Sistemnyi Analiz, No. 4, pp. 49–73, July–August 2007.

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Sergienko, I.V., Deineka, V.S. Solution of inverse boundary-value problems for multicomponent parabolic distributed systems. Cybern Syst Anal 43, 507–526 (2007). https://doi.org/10.1007/s10559-007-0077-z

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  • DOI: https://doi.org/10.1007/s10559-007-0077-z

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