Modified Specht's plate bending element and its convergence analysis
Electronic transactions on numerical analysis, Tome 2 (1994), pp. 92-103
This paper discusses Specht's plate bending element, shows the relationships between w ds or $\partial w$ ds and the nodal parameters (or degrees of freedom), further it sheds lights on F$\rho F\rho \partial n$ the construction methods for that element, and finally it introduces a new plate bending element with good convergent properties (which passes the F-E-M-Test (cf.[11])) is derived.
Classification :
41A05, 65D05, 65N30
Keywords: interpolation, nonconforming finite element, Specht's element
Keywords: interpolation, nonconforming finite element, Specht's element
@article{ETNA_1994__2__a7,
author = {Shih, T.M. and Gao, Junbin},
title = {Modified {Specht's} plate bending element and its convergence analysis},
journal = {Electronic transactions on numerical analysis},
pages = {92--103},
year = {1994},
volume = {2},
zbl = {0815.41005},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ETNA_1994__2__a7/}
}
Shih, T.M.; Gao, Junbin. Modified Specht's plate bending element and its convergence analysis. Electronic transactions on numerical analysis, Tome 2 (1994), pp. 92-103. http://geodesic.mathdoc.fr/item/ETNA_1994__2__a7/