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- ItemConvergence of a finite volume scheme for the biharmonic problem(Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2010) Eymard, Robert; Gallou¨et, T.; Herbin, R.; Linke, A.We propose a finite volume scheme for the approximation of a biharmonic problem with Dirichlet boundary conditions. We prove that the piece-wise constant approximate solution converges to the exact solution, as well as the discrete approximate of the gradient and the discrete approximate of the Laplacian of the exact solution. These results are confirmed by numerical results.