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  Volume 3, Issue 2, Article 17
 
An Error Estimate for Finite Volume Methods for the Stokes Equations

    Authors: A. Alami-Idrissi, M. Atounti,  
    Keywords: Finite volume method, Stokes equations, Discrete Poincaré inequality, Error estimate.  
    Date Received: 18/05/01  
    Date Accepted: 08/11/01  
    Subject Codes:

35Q30,76D07

 
    Editors: Ram N. Mohapatra,  
 
    Abstract:

In the present paper, we study an error estimate for finite volume methods for the stokes equations. The error is proven to be of order $ h$, in $ H_0^1$-norm discrete and in $ L^2$-norm, where $ h$ represents the size of the mesh. The result is new even for the finite volume method.

         
       
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