TY - JOUR
T1 - Error Estimates of Morley Triangular Element Satisfying the Maximal Angle Condition
AU - Mao , S.
AU - Nicaise , S.
AU - Shi , Z.-C.
JO - International Journal of Numerical Analysis and Modeling
VL - 4
SP - 639
EP - 655
PY - 2010
DA - 2010/07
SN - 7
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/743.html
KW - Morley element, plate elements, plate bending problems, maximal angle condition.
AB - <p style="text-align: justify;">In this paper, we establish the convergence of a nonconforming
triangular Morley element for the plate bending problem on degenerate meshes.
An explicit bound for the interpolation error is derived for arbitrary triangular
meshes without any assumptions. The optimal convergence rates of the moment
error and rotation error are derived for triangular meshes satisfying the maximal
angle condition. Our results can also be extended to the three dimensional
Morley element presented recently in [41]. Finally, some numerical results are
reported that confirm our theoretical results.</p>