Convergence analysis for an exponentially fitted finite volume method
نویسنده
چکیده
The paper is devoted to the convergence analysis of a well-known cell-centered Finite Volume Method (FVM) for a convection-difïusion problem in R. This FVM is based on Voronoi boxes and exponential fitting. To prove the convergence of the FVM, we use a new nonconforming PetrovGalerkin Finite Element Method (FEM) for which the System of linear équations coïncides completely with that of the FVM. Thus, by proving convergence properties of the FEM we obtain similar ones for the FVM. For the error estimation of the FEM well-known statements have to be modified. Mathematics Subject Classification. 65N12, 65N99, 65N30. Received: February 16, 2000. Revised: June 5, 2000 and July 17, 2000.
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