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Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.98.

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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.
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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