A New Kind of Trivariate C1 Macro-element

被引：0
|
作者：
Ming-Jun Lai
A. LeMéhauté
机构：
[1] The University of Georgia,Department of Mathematics
[2] University of Nantes,CNRS UMR 6629, Department of Mathematics
来源：
Advances in Computational Mathematics | 2004年 / 21卷
关键词：
trivariate splines; macro-elements; octahedral partition;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We propose a construction of a trivariate C1 macro-element over a special tetrahedral partition and compare our construction with known C1 macro-elements which are summarized in this paper. Also, we propose an improvement of the Alfeld construction of a C1 quintic macro-element such that the new scheme is able to reproduce all polynomials of total degree ≤5.
引用
收藏
页码：273 / 292
页数：19
相关论文
共 50 条
  • [21] A Finite Macro-Element for Orthotropic Cylindrical Layer Modeling
    Provasi, Rodrigo
    Martins, Clovis de Arruda
    JOURNAL OF OFFSHORE MECHANICS AND ARCTIC ENGINEERING-TRANSACTIONS OF THE ASME, 2013, 135 (03): : 1 - 9
  • [22] A macro-element modelling approach of Infilled Frame Structures
    Calio, Ivo
    Panto, Bartolomeo
    COMPUTERS & STRUCTURES, 2014, 143 : 91 - 107
  • [23] Nonnegativity preserving macro-element interpolation of scattered data
    Schumaker, Larry L.
    Speleers, Hendrik
    COMPUTER AIDED GEOMETRIC DESIGN, 2010, 27 (03) : 245 - 261
  • [24] Practical macro-element for vertical and batter pile groups
    Cemalovic, Miran
    Castro, Jose Miguel
    Kaynia, Amir M. M.
    EARTHQUAKE ENGINEERING & STRUCTURAL DYNAMICS, 2023, 52 (04): : 1091 - 1111
  • [25] Macro-element modelling of a dissipative connection for CLT structures
    Marchi, Luca
    Trutalli, Davide
    Scotta, Roberto
    Pozza, Luca
    STRUCTURES, 2020, 26 : 582 - 600
  • [26] An equilibrated macro-element for nonlinear analysis of masonry structures
    Addessi, Daniela
    Mastrandrea, Alessandro
    Sacco, Elio
    ENGINEERING STRUCTURES, 2014, 70 : 82 - 93
  • [27] A macro-element approach for the seismic analysis of monumental buildings
    Malena, Marialaura
    Lorello, Mario
    de Felice, Gianmarco
    XIX ANIDIS CONFERENCE, SEISMIC ENGINEERING IN ITALY, 2023, 44 : 2052 - 2057
  • [28] A Kind of Cubic C1—Interpolations in the n-dimensional Finite Element Method
    Ren Hong Wang and Xi Quan Shi(Jinlin University)
    数学研究与评论, 1989, (02) : 173 - 179
  • [29] A new discrete macro-element in an analytical platform for seismic assessment of unreinforced masonry buildings
    Mobarake, A. Aghababaie
    Khanmohammadi, M.
    Mirghaderi, S. R.
    ENGINEERING STRUCTURES, 2017, 152 : 381 - 396
  • [30] C1 modeling with A-patches from rational trivariate functions
    Xu, GL
    Huang, HC
    Bajaj, C
    COMPUTER AIDED GEOMETRIC DESIGN, 2001, 18 (03) : 221 - 243
12345