A Nonconforming Quadrilateral Element With Maximal Inf-Sup Constant

被引：1

作者：

Jeon, Youngmok ^{[1
]}

Nam, Hyun ^{[2
]}

Sheen, Dongwoo ^{[2
,3
]}

机构：

[1] Ajou Univ, Dept Math, Suwon 443749, South Korea

[2] Seoul Natl Univ, Dept Math, Seoul 151747, South Korea

[3] Seoul Natl Univ, Interdisciplinary Program Computat Sci & Technol, Seoul 151747, South Korea

来源：

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2014年 / 30卷 / 01期

关键词：

nonconforming finite element; quadrilateral; Stokes equations; inf-sup condition;

D O I：

10.1002/num.21799

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A new nonconforming element is introduced for quadrilateral meshes. The element is designed to maximize the inf-sup constant for a Stokes element pair. Numerical results are presented and we observe that the maximizing inf-sup constant results in efficiency of computing time. (c) 2013 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 30: 12-132, 2014

引用

页码：120 / 132

页数：13

共 50 条

[1] NONCONFORMING INF-SUP CONDITIONS FOR FINITE-ELEMENT APPROXIMATIONS
JANIK, TJ
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 1991, 12 (3-4) : 361 - 376
[2] The Inf-Sup Constant for the Divergence on Corner Domains
Costabel, Martin
Crouzeix, Michel
Dauge, Monique
Lafranche, Yvon
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2015, 31 (02) : 439 - 458
[3] CONTINUITY PROPERTIES OF THE INF-SUP CONSTANT FOR THE DIVERGENCE
Bernardi, Christine
Costabel, Martin
Dauge, Monique
Girault, Vivette
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2016, 48 (02) : 1250 - 1271
[4] THE INF-SUP TEST
CHAPELLE, D
BATHE, KJ
COMPUTERS & STRUCTURES, 1993, 47 (4-5) : 537 - 545
[5] A POSTERIORI ERROR ANALYSIS OF THE INF-SUP CONSTANT FOR THE DIVERGENCE
Gallistl, Dietmar
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2021, 59 (01) : 249 - 264
[6] Inf-sup stable nonconforming finite elements of higher order on quadrilaterals and hexahedra
Matthies, Gunar
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2007, 41 (05): : 855 - 874
[7] On variational representations of the constant in the inf-sup condition for the stokes problem
Repin S.
Journal of Mathematical Sciences, 2017, 224 (3) : 456 - 467
[8] On the Inf-Sup Constant of a Triangular Spectral Method for the Stokes Equations
Su, Yanhui
Chen, Lizhen
Li, Xianjuan
Xu, Chuanju
COMPUTATIONAL METHODS IN APPLIED MATHEMATICS, 2016, 16 (03) : 507 - 522
[9] RAYLEIGH-RITZ APPROXIMATION OF THE INF-SUP CONSTANT FOR THE DIVERGENCE
Gallistl, Dietmar
MATHEMATICS OF COMPUTATION, 2019, 88 (315) : 73 - 89
[10] Subdifferentiability and inf-sup theorems
Moussaoui, M
Volle, M
POSITIVITY, 1999, 3 (04) : 345 - 355

← 1 2 3 4 5 →