WEB-spline-based multigrid methods for the stationary stokes problem

Kumar, VVKS and Kumar, BV Rathish and Das, PC (2006) WEB-spline-based multigrid methods for the stationary stokes problem. In: Numerical Functional Analysis And Optimization, 27 (3-4). pp. 391-410.

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Abstract

We discuss a multigrid technique in solving a large system of linear algebraic equations arising in the approximation of Stokes equations by a new strategy based on weighted extended B-spline (WEB-spline) methods. Three types of WEB-spline-based Stokes elements satisfying the inf-sup condition are considered. First for a linear-constant type of Stokes element, we give the detailed multigrid algorithm and its convergence proof. The convergence proof of the multigrid algorithm for a bubble-stabilized WEB-spline-based Stokes element is dealt with separately. Multigrid method in the case of bubble-condensed variational form is simplified using the techniques from the bubble-stabilized case.

Item Type:	Journal Article
Publication:	Numerical Functional Analysis And Optimization
Publisher:	Taylor & Francis Inc
Additional Information:	Copyright of this article belongs to Taylor & Francis Inc.
Keywords:	Mathematics,Applied;grid transfer;multigrid;smoothing operator;Stokes equations;V-W cycle;WEB-splines
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	21 Feb 2010 11:12
Last Modified:	19 Sep 2010 05:02
URI:	http://eprints.iisc.ac.in/id/eprint/18471

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