THE INF-SUP CONDITION AND ERROR-ESTIMATES FOR THE ARNOLD-FALK PLATE BENDING ELEMENT

被引：8

作者：

DURAN, R ^{[1
]}

机构：

[1] PURDUE UNIV, CTR APPL MATH, W LAFAYETTE, IN 47907 USA

来源：

NUMERISCHE MATHEMATIK | 1991年 / 59卷 / 08期

关键词：

D O I：

10.1007/BF01385809

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove a discrete inf-sup condition for a mixed plate element introduced by Arnold and Falk. By using this condition, we obtain optimal error estimates for the shear strain which are valid uniformly in the plate thickness.

引用

页码：769 / 778

页数：10

共 29 条

[1] On evaluating the inf-sup condition for plate bending elements
Iosilevich, A
Bathe, KJ
Brezzi, F
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1997, 40 (19) : 3639 - 3663
[2] On a modified Hilbert transformation, the discrete inf-sup condition, and error estimates
Loescher, Richard
Steinbach, Olaf
Zank, Marco
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2024, 171 : 114 - 138
[3] Inf-sup condition tests for shell/plate finite elements
Gilewski, W.
Sitek, M.
SHELL STRUCTURES: THEORY AND APPLICATIONS, VOL 2, 2010, : 233 - 236
[4] THE INF-SUP CONDITION TESTS FOR SHELL/PLATE FINITE ELEMENTS
Gilewski, W.
Sitek, M.
ARCHIVES OF CIVIL ENGINEERING, 2011, 57 (04) : 425 - 447
[5] On the necessity of the inf-sup condition for a mixed finite element formulation
Bertrand, Fleurianne
Boffi, Daniele
IMA JOURNAL OF NUMERICAL ANALYSIS, 2024, 45 (01) : 1 - 35
[6] The inf-sup condition and error estimates of the Nitsche method for evolutionary diffusion-advection-reaction equations
Ueda, Yuki
Saito, Norikazu
JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS, 2019, 36 (01) : 209 - 238
[7] On the inf-sup condition of mixed finite element formulations for acoustic fluids
Bao, WZ
Wang, XD
Bathe, KJ
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2001, 11 (05): : 883 - 901
[8] The inf-sup condition and its evaluation for mixed finite element methods
Bathe, KJ
COMPUTERS & STRUCTURES, 2001, 79 (02) : 243 - 252
[9] The inf-sup condition and error estimates of the Nitsche method for evolutionary diffusion–advection-reaction equations
Yuki Ueda
Norikazu Saito
Japan Journal of Industrial and Applied Mathematics, 2019, 36 : 209 - 238
[10] The inf-sup condition in mixed finite element methods with application to the Stokes system
Gunzburger, MD
COLLECTED LECTURES ON THE PRESERVATION OF STABILITY UNDER DISCRETIZATION, 2002, : 93 - 121

← 1 2 3 →