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The neural network modeling application for the of efficient FEM schemes construction

Keywords:

D.T. Chekmarev – Dr.Sc. (Phys.-Math.), Professor, Nizhny Novgorod State University. E-mail: 4ekm@mm.unn.ru


The article discusses the problem of adaptive numerical schemes, containing adjustable parameters, for 2D and 3D problems of continuum mechanics and structures. The possibility of applying neural network approaches to configuring scheme for a specific problem is considered. There is given the description of some problems in the elasticity and shell theory numerical modeling, which applies neural network approaches. The parameter depended FEM scheme for the 2D elasticity problem solving is considered in detail. For this scheme parameter determination the neural network modeling problem is posed and an algorithm for its solution is described.
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