Convergence analysis of a finite volume method for the Stokes system using non-conforming arguments

@inproceedings{Nicaise2005ConvergenceAO,
  title={Convergence analysis of a finite volume method for the Stokes system using non-conforming arguments},
  author={Serge Nicaise and Karim Djadel},
  year={2005}
}
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… CONTINUE READING

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