This article is cited in 1 paper

Error estimates in the projection-difference method for a hyperbolic-parabolic system of abstract differential equations

S. E. Zhelezovskii

Saratov State Socio-Economic University, Saratov

Abstract: The Cauchy problem for a hyperbolic-parabolic system of abstract differential equations in a Hilbert space is considered that generalizes a number of linear coupled thermoelasticity problems. The energy error estimates for the projection-difference method as applied to the Cauchy problem are established without imposing any special conditions on the projection subspaces.

Key words: projection-difference method, error estimates, abstract differential equations, hyperbolic-parabolic system, coupled thermoelasticity problems.

UDC: 517.988.8+519.633.8

Received: 27.10.2009

 English version: Numerical Analysis and Applications, 2010, 3:3, 218–230

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