Physics, mathematics, and technology

2022 Issue №1

Back to the list Download the article

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



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.