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We present a simplified model of mechanical behavior of large cantilever arrays with discoupled rows in the dynamic operating regime. Since the supporting bases are assumed to be elastic, cross-talk effect between cantilevers is taken into account. The mathematical derivation combines a thin plate asymptotic theory and the two-scale approximation theory, devoted to strongly heterogeneous periodic...
In this paper, we study the convergence of two-step iterative methods based on Hermitian and skew-Hermitian splitting of the coefficient matrix for solving the linear systems obtained from the bilinear finite element discretisation of a model two-dimensional convection-diffusion problem. Analytic expressions for the optimal convergence factors are derived. The inexact and preconditioned versions of...
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