Title

A nonconforming mixed multigrid method for the pure traction problem in planar linear elasticity

Document Type

Article

Publication Date

1-1-1994

Abstract

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. © 1994 American Mathematical Society.

Publication Source (Journal or Book title)

Mathematics of Computation

First Page

435

Last Page

460

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