On improvement of convergence rate for a certain method of solving the Stokes problem
type: Item
instance of: scholarly article
title: On improvement of convergence rate for a certain method of solving the Stokes problem
zbMATH Open document ID: 0821.76018
author: P. P. Aristov
published in: Russian Mathematics
publication date: 1995-05-17T00:00:00Z
review text: The general theory of iterative algorithms for problems with saddle operators is applied to the classical Stokes problem. After reformulating the original problem as an equivalent problem containing two arbitrary parameters \(\alpha\) and \(\beta\), the author investigates the corresponding iterative procedure using spectral properties of operator pencil of elasticity theory. This enables one to find optimal values for \(\alpha\) and \(\beta\) providing an essentially improved convergence of the procedure. To confirm the above results, some numerical experiments are reported for finite difference approximation of the considered problem in a model domain -- the unit square.
Mathematics Subject Classification ID: 76D07
Mathematics Subject Classification ID: 76M20
zbMATH DE Number: 746051
zbMATH Keywords: spectrum
zbMATH Keywords: optimal values of parameters
zbMATH Keywords: saddle operators
zbMATH Keywords: operator pencil of elasticity theory
zbMATH Keywords: finite difference approximation
zbMATH Keywords: unit square
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 746051