Geodesic
Error estimates in the projection-difference method for a~hyperbolic-parabolic system of abstract differential equations
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 13 (2010) no. 3, pp. 269-284

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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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     author = {S. E. Zhelezovskii},
     title = {Error estimates in the projection-difference method for a~hyperbolic-parabolic system of abstract differential equations},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {269--284},
     publisher = {mathdoc},
     volume = {13},
     number = {3},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJVM_2010_13_3_a2/}
}
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S. E. Zhelezovskii. Error estimates in the projection-difference method for a~hyperbolic-parabolic system of abstract differential equations. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 13 (2010) no. 3, pp. 269-284. http://geodesic.mathdoc.fr/item/SJVM_2010_13_3_a2/