I PRIKLADNAYA MATEMATIKA
(FUNDAMENTAL AND APPLIED MATHEMATICS)
2006, VOLUME 12, NUMBER 4, PAGES 209-230
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A \textit direct problem of particular mathematical modelling is
to determine the response of a system, given the governing
partial differential equations, the geometry under interest, the
complete boundary and initial conditions, and material properties.
When one or more of the conditions for the solution of the direct
problem are unknown, an \textit inverse problem can be formulated.
One of the methods frequently used for the solution of inverse
problems involves finding the values of the unknowns in
a mathematical formulation such that the behavior calculated with
the model matches the measured response at degree evaluated in terms
of the classical
We construct and employ a weak version of the algorithm found by Weikl et al. Proofs for the convergence and regularity of this version are given for the case of a single layer.
The computational realization of the algorithm (called briefly AICRA) is applied and numerical results are obtained. The comparison with experiments demonstrates a good significance and representativeness.
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Last modified: February 17, 2007