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Publications [#9657] of Mariano Marcano-Velázquez

Papers Published

  1. Mariano Marcano-Velázquez and Pablo V. Negrón-Marrero, The numericalsolution of the von Kármán equations using multigrid methods, Congressus Numerantium, vol. 94, (1993), pp. 17-28
    (last updated on 2000/08/28)

    Abstract:
    In the first part of this work, we compare the performance of three iterative methods: Gauss-Jacobi, Gauss-Seidel, and red-black Gauss-Seidel. The comparison is based on their theoretical rate of convergence and their amenability for vectorization and parallelization on a particular problem. We further compare these methods with a multigrid method. In the second part of the paper, we use a multigrid method to solve numerically the von Karman equations (a semilinear system of partial differential equations) that describe the buckling of a rectangular plate.

 

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