Systematic construction of three-dimensional ultra high-order Nedelec's elements

被引:3
|
作者
Hano, Mitsuo [1 ]
Komatsu, Hiromichi [1 ]
Taniguchi, Kenichi [1 ]
机构
[1] Yamaguchi Univ, Ube, Japan
关键词
Error analysis - Finite element method - Polynomials - Vectors;
D O I
10.1109/20.877752
中图分类号
学科分类号
摘要
A new systematic construction of the three-dimensional ultra high-order Nedelec's elements is presented in this paper. It is proposed that a set of vector basis functions be simply chosen out of irrotational and rotational vector polynomials. Vector shape functions of the element are uniquely derived by the conditions modified from the scalar elements. The significance of the positions and directions of the arrows in the Nedelec's element is described. The higher order elements are also implemented in a cavity analysis.
引用
收藏
页码:1623 / 1626
相关论文
共 50 条
  • [21] Three-dimensional magnetic nanotextures with high-order vorticity in soft magnetic wireframes
    Volkov, Oleksii M.
    Pylypovskyi, Oleksandr V.
    Porrati, Fabrizio
    Kronast, Florian
    Fernandez-Roldan, Jose A.
    Kakay, Attila
    Kuprava, Alexander
    Barth, Sven
    Rybakov, Filipp N.
    Eriksson, Olle
    Lamb-Camarena, Sebastian
    Makushko, Pavlo
    Mawass, Mohamad-Assaad
    Shakeel, Shahrukh
    Dobrovolskiy, Oleksandr V.
    Huth, Michael
    Makarov, Denys
    NATURE COMMUNICATIONS, 2024, 15 (01)
  • [22] High-order discontinuous Galerkin solutions of three-dimensional incompressible RANS equations
    Crivellini, Andrea
    D'Alessandro, Valerio
    Bassi, Francesco
    COMPUTERS & FLUIDS, 2013, 81 : 122 - 133
  • [23] Computational Performance of a Parallelized Three-Dimensional High-Order Spectral Element Toolbox
    Bosshard, Christoph
    Bouffanais, Roland
    Clemencon, Christian
    Deville, Michel O.
    Fietier, Nicolas
    Gruber, Ralf
    Kehtari, Sohrab
    Keller, Vincent
    Latt, Jonas
    ADVANCED PARALLEL PROCESSING TECHNOLOGIES, PROCEEDINGS, 2009, 5737 : 323 - +
  • [24] A fast and high-order method for the three-dimensional elastic wave scattering problem
    Bu, Fanbin
    Lin, Junshan
    Reitich, Fernando
    JOURNAL OF COMPUTATIONAL PHYSICS, 2014, 258 : 856 - 870
  • [25] Ultraviolet lasing in high-order bands of three-dimensional ZnO photonic crystals
    Scharrer, Michael
    Yamilov, Alexey
    Wu, Xiaohua
    Cao, Hui
    Chang, Robert P. H.
    APPLIED PHYSICS LETTERS, 2006, 88 (20)
  • [26] Computational performance of a parallelized three-dimensional high-order spectral element toolbox
    Bosshard, Christoph
    Bouffanais, Roland
    Deville, Michel
    Gruber, Ralf
    Latt, Jonas
    COMPUTERS & FLUIDS, 2011, 44 (01) : 1 - 8
  • [27] A High-Order Accurate Wavelet Method for Solving Three-Dimensional Poisson Problems
    Liu, Xiaojing
    Wang, Jizeng
    Zhou, Youhe
    CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, 2015, 107 (06): : 433 - 446
  • [28] A High-Order Numerical Method to Study Three-Dimensional Hydrodynamics in a Natural River
    Shen, Luyu
    Lu, Changgen
    Wu, Weiguo
    Xue, Shifeng
    ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, 2015, 7 (02) : 180 - 195
  • [29] Parallel FFT algorithms for high-order approximations on three-dimensional compact stencils
    Gonzales, Ronald
    Gryazin, Yury
    Lee, Yun Teck
    PARALLEL COMPUTING, 2021, 103
  • [30] Three-dimensional magnetic nanotextures with high-order vorticity in soft magnetic wireframes
    Oleksii M. Volkov
    Oleksandr V. Pylypovskyi
    Fabrizio Porrati
    Florian Kronast
    Jose A. Fernandez-Roldan
    Attila Kákay
    Alexander Kuprava
    Sven Barth
    Filipp N. Rybakov
    Olle Eriksson
    Sebastian Lamb-Camarena
    Pavlo Makushko
    Mohamad-Assaad Mawass
    Shahrukh Shakeel
    Oleksandr V. Dobrovolskiy
    Michael Huth
    Denys Makarov
    Nature Communications, 15