Abstract:
We consider the Cauchy problem for a system of abstract differential equations in Hilbert spaces that generalizes some coupled thermoelasticity problems. We obtain a priori energy estimate for the convergence rate of a projection-difference method as applied to the Cauchy problem with an arbitrary choice of projection subspaces.
Citation:
S. E. Zhelezovskii, “The convergence rate of a projection-difference method for an abstract coupled problem”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 9, 52–61; Russian Math. (Iz. VUZ), 55:9 (2011), 43–51