Unstructured Volume-Agglomeration MG: Solution of the Poisson Equation

: We are interested in solving second-order PDE's with Multigrid and unstructured meshes. The Multigrid strategy we present here is adapted from the generalized Finite Volume Agglomeration Multigrid algorithm we have developed recently for the solution of the Euler equations. We now focus on the Poisson's equation. A strategy is defined by introducing a correction factor for the diffusive terms and some illustrating results are given. Key-words: Multigrid Methods, Finite Elements, Finite Volumes, Agglomeration, Elliptic Equation, Numerical Analysis (R'esum'e : tsvp) INRIA Sophia Antipolis,B.P. 93, 06902 Sophia-Antipolis Cedex,France INRIA Rocquencourt, B.P. 105, 78153 Le Chesnay Cedex, France Unite de recherche INRIA Sophia-Antipolis 2004 route des Lucioles, BP 93, 06902 SOPHIA-ANTIPOLIS Cedex (France) Telephone : (33) 93 65 77 77 -- Telecopie : (33) 93 65 77 Multigrille en maillage non structure par volumes finis agglomeres : solution de l'equation de Poisson R'esum'e : On s'..