Year: 2004
International Journal of Numerical Analysis and Modeling, Vol. 1 (2004), Iss. 1 : pp. 99–110
Abstract
The Reissner-Mindlin model is frequently used by engineers for plates and shells of small to moderate thickness. This model is well known for its "locking" phenomenon so that many numerical approximations behave poorly when the thickness parameter tends to zero. Following the formulation derived by Brezzi and Fortin, we construct a new finite element scheme for the Reissner-Mindlin model using $L^2$ projections onto appropriately-chosen finite element spaces. A superconvergence result is established for the new finite element solutions by using the $L^2$ projections. The superconvergence is based on some regularity assumption for the Reissner-Mindlin model and is applicable to any stable finite element methods with regular but non-uniform finite element partitions.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2004-IJNAM-968
International Journal of Numerical Analysis and Modeling, Vol. 1 (2004), Iss. 1 : pp. 99–110
Published online: 2004-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: finite element methods superconvergence the method of least-squares fitting Reissner-Mindlin plate.