A triangular finite element with new approximation properties

被引:0
|
作者
Baidakova, N., V
机构
来源
TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN | 2015年 / 21卷 / 04期
关键词
multidimensional interpolation; finite element method; maximum angle condition; splines on triangulations;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A finite element with new properties of approximation of higher derivatives is constructed, and a method for the construction of a finite element space in the planar case is proposed. The method is based on Yu.N. Subbotin's earlier results as well as on the results obtained in this paper. The resulting piecewise polynomial function possesses the continuity property and new approximation properties.
引用
收藏
页码:67 / 77
页数:11
相关论文
共 50 条
  • [21] Triangular-element finite-element analysis of a trapezoid polymer optical waveguide
    Tsao, SL
    Wu, JS
    Her, YL
    MICROWAVE AND OPTICAL TECHNOLOGY LETTERS, 1997, 15 (02) : 87 - 89
  • [22] Finite element approximation for a modified anomalous subdiffusion equation
    Liu, Q.
    Liu, F.
    Turner, I.
    Anh, V.
    APPLIED MATHEMATICAL MODELLING, 2011, 35 (08) : 4103 - 4116
  • [23] ANALYSIS OF THE FINITE-ELEMENT APPROXIMATION OF MICROSTRUCTURE IN MICROMAGNETICS
    LUSKIN, M
    MA, L
    SIAM JOURNAL ON NUMERICAL ANALYSIS, 1992, 29 (02) : 320 - 331
  • [24] FINITE ELEMENT APPROXIMATION OF NONLOCAL DYNAMIC FRACTURE MODELS
    Jha, P. K.
    Lipton, R.
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2021, 26 (03): : 1675 - 1710
  • [25] Finite element approximation for some quasilinear elliptic problems
    Matsuzawa, Y
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1998, 96 (01) : 13 - 25
  • [26] Finite element approximation to a contact problem in linear thermoelasticity
    Copetti, MIM
    MATHEMATICS OF COMPUTATION, 1999, 68 (227) : 1013 - 1024
  • [27] A feature preserved triangular mesh simplification method for finite element analysis
    Liu, Xiao-Dong
    Dong, Xian-Fa
    Guo, Wei
    Guan, Zhen-Qun
    Jisuan Lixue Xuebao/Chinese Journal of Computational Mechanics, 2010, 27 (04): : 682 - 687
  • [28] Improved finite element triangular meshing for symmetric geometries using MATLAB
    Shylaja, G.
    Venkatesh, B.
    Naidu, V. Kesavulu
    Murali, K.
    MATERIALS TODAY-PROCEEDINGS, 2021, 46 : 4375 - 4380
  • [29] The use of the strain approach to develop a new consistent triangular thin flat shell finite element with drilling rotation
    Guenfoud, Hamza
    Himeur, Mohamed
    Ziou, Hassina
    Guenfoud, Mohamed
    STRUCTURAL ENGINEERING AND MECHANICS, 2018, 68 (04) : 385 - 398
  • [30] Triangular prism finite element based on piecewise constant stress approximations
    Tyukalov, Yu. Ya.
    MAGAZINE OF CIVIL ENGINEERING, 2023, 121 (05):