A New Class of Mixed Finite Element Methods for Reissner--Mindlin Plates

Authors:
C. Lovadina
Affiliations:
-
Venue:
SIAM Journal on Numerical Analysis
Year:
1996

Citing 0
Cited 4

A Family of Discontinuous Galerkin Finite Elements for the Reissner--Mindlin Plate

Journal of Scientific Computing
A family of discontinuous Galerkin finite elements for the Reissner-Mindlin plate

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PSRI elements for the Reissner-Mindlin free plate

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Robust BDDC Preconditioners for Reissner-Mindlin Plate Bending Problems and MITC Elements

SIAM Journal on Numerical Analysis

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Abstract

A new class of finite elements for the Reissner--Mindlin plate problem is presented. The family is based on a modified mixed formulation recently introduced by Arnold and Brezzi [Boundary Value Problems for Partial Differential Equations and Applications, J. L. Lions and C. Baiocchi, eds., Masson, Paris, 1993]. A result of stability and convergence uniformly in the thickness is provided.