Convergence analysis of a finite volume method for the Stokes system using non-conforming arguments
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چکیده
We consider finite volume methods for the Stokes system in a polyhedral domain of Rd , d = 2 or 3. We prove different error estimates using non-conforming tools, namely by regarding the finite volume scheme as a non-conforming approximation of the continous variational problem. This point of view allows us to extend recent error estimates obtained by Blanc et al. (2004, Numer. Meth. PDE, 20, 907–918.) for equilateral triangulations to a larger class of 2D meshes (incompletely proved by Alami-Idrissi & Atounti (2002) JIPAM, 3, for meshes made of triangles) and to obtain its 3D version. Some numerical tests confirm our theoretical considerations.
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تاریخ انتشار 2004