Kumar, Srinivas VVK and Kumar, Rathish BV and Das, PC (2008) WEB-spline based mesh-free finite element analysis for the approximation of the stationary Navier–Stokes problem. In: Nonlinear Analysis: Theory, Methods & Applications, 68 (11). pp. 3266-3282.
Restricted to Registered users only
Download (528Kb) | Request a copy
he objective in this paper is to discuss the existence and the uniqueness of a weighted extended B-spline (WEB-spline) based discrete solution for the stationary incompressible Navier–Stokes equations. The WEB-spline discretization is newly developed methodology which satisfies the inf–sup condition or Ladyshenskaya–Babus˘ka–Brezzi (LBB) condition. The main advantage of these new elements over standard finite elements is that they use regular grids instead of irregular partitions of the domain, thus eliminating the difficult and time-consuming pre-processing step. An error estimate for this WEB-spline based discrete solution is also obtained.
|Item Type:||Journal Article|
|Additional Information:||Copyright of this article belongs to Elsevier.|
|Keywords:||WEB-spline;Inf–sup condition;Navier–Stokes;Fixed point theorem; Error estimate|
|Department/Centre:||Division of Physical & Mathematical Sciences > Mathematics|
|Date Deposited:||05 Jun 2008|
|Last Modified:||19 Sep 2010 04:45|
Actions (login required)