TY - JOUR
T1 - A Superconvergent Finite Element Scheme for the Reissner-Mindlin Plate by Projection Methods
AU - J. Wang & X. Ye
JO - International Journal of Numerical Analysis and Modeling
VL - 1
SP - 99
EP - 110
PY - 2004
DA - 2004/01
SN - 1
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/968.html
KW - finite element methods, superconvergence, the method of least-squares fitting, Reissner-Mindlin plate.
AB - <p style="text-align: justify;">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 &quot;locking&quot; 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.</p>