Strengthened Cauchy-Bunyakowski-Schwarz inequality for a three-dimensionalelasticity system

The constant gamma of the strengthened Cauchy-Bunyakowski-Schwarz (CBS) ine quality plays a fundamental role in the convergence rate of multilevel iter ative methods. The main put-pose of this work is to give an estimate of the constant gamma for a three-dimensional elasticity system. The theoretical results obtained are practically important for the successful implementatio n of the finite element method to large-scale modelling of complicated stru ctures as they allow us to construct optimal order algebraic multilevel ite rative solvers for a wide class of real-lift elasticity problems. Copyright (C) 2001 John Wiley & Sons, Ltd.