Finite-dimensional approximation of regularizing algorithms of the solution of the inverse problem for a contact boundary
© N.N. Chernaya
Application aspects of the problem of constructing a contact boundary using the values of the field given on a notably short profile are discussed. The author proposes a respective regular algorithm of the search of a contact of a preset smoothness. For the first time attention is given to the fact that in the regular algorithms the stabilizing functionals should be determined by differential operators consisting of the sum of the operators of the differentiation proper and of a "diagonal" operator different from zero. A method of the calculation of direct operators in Euler's equations with a high accuracy that cannot be reached by traditional methods of their characterization has been worked out.