Mathematical analysis for quadrilateral rotated Q1 element -: III:: The effect of numerical integration

被引:0
|
作者
Ming, PB [1 ]
Shi, ZC [1 ]
机构
[1] Chinese Acad Sci, Inst Computat Math, Beijing 100080, Peoples R China
关键词
quadrilateral rotated Q(1) element; numerical quadrature;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This is the third part of the paper for the rotated Q(1) nonconforming element on quadrilateral meshes for general second order elliptic problems. Some optimal numerical formulas are presented and analyzed. The novelty is that it includes a formula with only two sampling points which excludes even a Q(1) unisolvent set. It is the optimal numerical integration formula over a quadrilateral mesh with least sampling points up to now.
引用
收藏
页码:287 / 294
页数:8
相关论文
共 50 条
  • [41] Numerical integration over polygons using an eight-node quadrilateral spline finite element
    Li, Chong-Jun
    Lamberti, Paola
    Dagnino, Catterina
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 233 (02) : 279 - 292
  • [42] Finite element approach for numerical integration over family of eight node linear quadrilateral element for solving Laplace equation
    Shivaram, K. T.
    Jyothi, H. R.
    MATERIALS TODAY-PROCEEDINGS, 2021, 46 : 4336 - 4340
  • [43] An additive Schwarz preconditioner for the mortar-type rotated Q1 FEM for elliptic problems with discontinuous coefficients
    Wang, Feng
    Chen, Jinru
    Xu, Wei
    Li, Zhilin
    APPLIED NUMERICAL MATHEMATICS, 2009, 59 (07) : 1657 - 1667
  • [44] A new numerical integration over arbitrary quadrilateral element based on smoothed strain energy and Richardson extrapolation
    Vengatesan, S.
    Jeyakarthikeyan, P. V.
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2022, 123 : 136 - 159
  • [45] A novel family of Q1-finite volume element schemes on quadrilateral meshes
    Zhou, Yanhui
    Su, Shuai
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2024, 172 : 216 - 240
  • [46] Resiliency oriented integration of DSRs<?show [AQ ID=Q1]?> in transmission networks
    Soroudi, Alireza
    Maghouli, Pouria
    Keane, Andrew
    IET GENERATION TRANSMISSION & DISTRIBUTION, 2017, 11 (08) : 2013 - 2022
  • [47] Fast Q1 finite element for two-dimensional integral fractional Laplacian
    Yang, Yi
    Huang, Jin
    Wang, Yifei
    Deng, Ting
    Li, Hu
    APPLIED MATHEMATICS AND COMPUTATION, 2023, 443
  • [48] A new class of nonconforming finite elements for the enrichment of Q1 element on convex polytope
    Achchab, Boujemaa
    Guessab, Allal
    Zaim, Yassine
    APPLIED MATHEMATICS AND COMPUTATION, 2015, 271 : 657 - 668
  • [49] Stabilization methods of bubble type for the Q1/Q1-element applied to the incompressible Navier-Stokes equations
    Knobloch, P
    Tobiska, L
    ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2000, 34 (01): : 85 - 107
  • [50] On the effect of numerical integration in the Galerkin boundary element method
    Sauter, SA
    Krapp, A
    NUMERISCHE MATHEMATIK, 1996, 74 (03) : 337 - 359