A Nonconforming Mixed Multigrid Method for the Pure Traction Problem in Planar Linear Elasticity
نویسندگان
چکیده
A robust optimal-order multigrid method for the pure traction problem in two-dimensional linear elasticity is studied. The finite element discretization is a variant of a mixed method proposed by Falk where the displacement is approximated by nonconforming piecewise linear functions and the "pressure" is approximated by piecewise constant functions on a coarser grid. Full multigrid convergence is obtained. The performance of this multigrid algorithm does not deteriorate as the material becomes nearly incompressible.
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Multigrid Methods for the Pure Traction Problem of Linear Elasticity: Mixed Formulation
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