Discrete maximum principles in finite element modelling

被引:0
|
作者
Korotov, S [1 ]
Krízek, M [1 ]
机构
[1] Univ Jyvaskyla, Dept Math Informat Technol, FIN-40014 Jyvaskyla, Finland
关键词
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Nonobtuse tetrahedral partitions and linear finite elements guarantee the validity of a discrete analogue of the maximum principle for a wide class of parabolic and elliptic problems in the three-dimensional space. In this paper we propose global and local refinement techniques which produce nonobtuse face-to-face tetrahedral partitions of a polyhedral domain.
引用
下载
收藏
页码:580 / 586
页数:7
相关论文
共 50 条
  • [21] WEAK DISCRETE MAXIMUM PRINCIPLES
    Al-Mahameed, Mohammad Mujalli
    ARCHIVUM MATHEMATICUM, 2005, 41 (02): : 167 - 173
  • [22] WEAK DISCRETE MAXIMUM PRINCIPLES
    Al-Mahameed, Mohammad Mujalli
    ARCHIVUM MATHEMATICUM, 2007, 43 (03): : 157 - 157
  • [23] A coupled finite element-discrete element method for the modelling of brake squeal instabilities
    Hubert, Cédric
    Attaoui, Yassine El
    Leconte, Nicolas
    Massa, Franck
    European Journal of Mechanics, A/Solids, 2024, 108
  • [24] Discrete/Finite Element Modelling of Rock Cutting with a TBM Disc Cutter
    Labra, Carlos
    Rojek, Jerzy
    Onate, Eugenio
    ROCK MECHANICS AND ROCK ENGINEERING, 2017, 50 (03) : 621 - 638
  • [25] Finite-discrete element modelling of sea ice sheet fracture
    Lilja, Ville-Pekka
    Polojarvi, Arttu
    Tuhkuri, Jukka
    Paavilainen, Jani
    INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2021, 217 (217-218) : 228 - 258
  • [26] Discrete/Finite Element Modelling of Rock Cutting with a TBM Disc Cutter
    Carlos Labra
    Jerzy Rojek
    Eugenio Oñate
    Rock Mechanics and Rock Engineering, 2017, 50 : 621 - 638
  • [27] WEAK DISCRETE MAXIMUM PRINCIPLE OF ISOPARAMETRIC FINITE ELEMENT METHODS IN CURVILINEAR POLYHEDRA
    Li, Buyang
    Qiu, Weifeng
    Xie, Yupei
    Yu, Wenshan
    MATHEMATICS OF COMPUTATION, 2023, : 1 - 34
  • [28] Maximum norm analysis of completely discrete finite element methods for parabolic problems
    Palencia, C
    SIAM JOURNAL ON NUMERICAL ANALYSIS, 1996, 33 (04) : 1654 - 1668
  • [29] THE DISCRETE MAXIMUM PRINCIPLE IN FINITE-ELEMENT THERMAL-RADIATION ANALYSIS
    LOBO, M
    EMERY, AF
    NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS, 1993, 24 (02) : 209 - 227
  • [30] Linking of discrete element modelling with finite element analysis for analysing structures in contact with particulate solid
    Chung, Y. C.
    Ooi, J. Y.
    POWDER TECHNOLOGY, 2012, 217 : 107 - 120