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JOURNALS // Numerical methods and programming // Archive

Num. Meth. Prog., 2006 Volume 7, Issue 1, Pages 47–49 (Mi vmp575)

Вычислительные методы и приложения

A Galerkin approximation for the problem of unsteady motion of a viscous weakly compressible gas

K. A. Zhukov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: A Galerkin approximation is constructed for the linear system of equations describing the unsteady motion of a viscous weakly compressible gas in the case of two spatial variables. An error estimate is proved depending on the gas viscosity and the parameter characterizing the gas compressibility.

Keywords: viscous weakly compressible gas, finite element method, Galerkin method, unsteady gas motion.

UDC: 519.6



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