Abstract:The problem of identification of coefficients and initial conditions for a boundary value problem for parabolic equations that reduces to a minimization problem of a misfit function is investigated.
Firstly, the tensor train decomposition approach is presented as a global convergence algorithm.
The idea of the proposed method is to extract the tensor structure of the optimized functional and use it for multidimensional optimization problems.
Secondly, for the refinement of the unknown parameters, three local o… Show more
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