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

S. E. Zhelezovskii

Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 13 (2010) no. 3, pp. 269-284.

Résumé

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.

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