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A conjugate gradient method and a multigrid algorithm for Morley s finite element approximation of the biharmonic equation

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The numerical solution of the linear equations arising from Morley's nonconforming displacement method is studied. A suitable preconditioning for the conjugate gradient method is described. Furthermore, the nonconformity of the discretization necessitates some non-standard ingredients of multigrid algorithms.

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Peisker, P., Braess, D. A conjugate gradient method and a multigrid algorithm for Morley s finite element approximation of the biharmonic equation. Numer. Math. 50, 567–586 (1987). https://doi.org/10.1007/BF01408577

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