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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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|
|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|
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