Physics, mathematics, and technology

2022 Issue №1

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Optimal parameters and sharp estimates of the convergence rate of the tangent expansion

Pages
77-89

Abstract

In this paper we conceder the properties of the tangential incomplete block LU — decomposition. We present an analytical approach for determination of the optimal values of the decomposition parameter and derive sharp estimates of the convergence rate for a broad class of model problems. Numerical results prove that high convergence rate can be achieved by using these values also for the problems with varying coefficients.