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On some difference-characteristic schemes for non-one-dimensional non-stationary problems in the theory of elasticity

L. F. Yukhno

Moscow

Abstract: The difference schemes which are obtained by averaging characteristic relationships on simplexes located in the characteristic hyperplanes are considered and investigated in the case of the hyperbolic system of equations which describe the propagation of waves in an elastoplastic medium. A method is proposed for approximating the so-called “geometric terms” in the case of axially symmetric problems.

UDC: 519.6.539.3

MSC: Primary 74S20; Secondary 65M25, 65M06

Received: 04.04.1989
Revised: 11.08.1989

 English version: USSR Computational Mathematics and Mathematical Physics, 1990, 30:1, 100–106

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