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.
@article{SJVM_2010_13_3_a2,
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/}
}
TY - JOUR AU - S. E. Zhelezovskii TI - Error estimates in the projection-difference method for a~hyperbolic-parabolic system of abstract differential equations JO - Sibirskij žurnal vyčislitelʹnoj matematiki PY - 2010 SP - 269 EP - 284 VL - 13 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/SJVM_2010_13_3_a2/ LA - ru ID - SJVM_2010_13_3_a2 ER -
%0 Journal Article %A S. E. Zhelezovskii %T Error estimates in the projection-difference method for a~hyperbolic-parabolic system of abstract differential equations %J Sibirskij žurnal vyčislitelʹnoj matematiki %D 2010 %P 269-284 %V 13 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/SJVM_2010_13_3_a2/ %G ru %F SJVM_2010_13_3_a2
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/