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Title of Article

IMPROVING THE EFFICIENCY OF THE EXPLICIT CROSS SCHEME FOR THE NUMERICAL SOLUTION OF DIFFERENT SCALE WAVE PROBLEMS OF CONTINUUM MECHANICS


Issue
6
Date
2010

Section
MECHANICS

Article type
scientific article
UDC
519.6:539.3
Pages
124-131
Keywords
explicit scheme, regularization, split method, different scale processes


Authors
Kastalskaya Kseniya Alekseevna
Nizhegorodskiy gosuniversitet im. N.I. Lobachevskogo

Chekmarev Dmitriy Timofeevich
Nizhegorodskiy gosuniversitet im. N.I. Lobachevskogo


Abstract
We consider a method for increasing the efficiency of an explicit numerical scheme of the cross type by introducing an implicit stabilizing operator with a simple structure. The method is applied in the case of simultaneous use of both small-scale and large-scale meshes. We consider its implementation for plane dynamic problems of elasticity theory. Some examples of numerical calculations are given showing the effectiveness of the method.

File (in Russian)