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An optimal order multigrid method for the lowest-order Raviart–Thomas mixed triangular finite element is developed. The algorithm and the convergence analysis are based on the equivalence between Raviart–Thomas mixed methods and certain nonconforming methods. Both the Dirichlet and singular Neumann boundary value problems for second-order elliptic equations are discussed.
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Susanne C. Brenner (1992) studied this question.
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