A nonconforming mixed multigrid method for the pure traction problem in planar linear elasticity
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- by Susanne C. Brenner PDF
- Math. Comp. 63 (1994), 435-460 Request permission
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.References
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Additional Information
- © Copyright 1994 American Mathematical Society
- Journal: Math. Comp. 63 (1994), 435-460
- MSC: Primary 73V05; Secondary 65M55, 73C99, 73V20
- DOI: https://doi.org/10.1090/S0025-5718-1994-1257574-6
- MathSciNet review: 1257574