Criteria to achieve nearly optimal meshes in the h-adaptive finite element method

被引:0
|
作者
Fuenmayor, FJ
Oliver, JL
机构
[1] Departamento de Ingenieria Mecanica, Univ. Politécnica de Valencia, 46022 Valencia, Camino de Vera
关键词
finite element method; optimal mesh; strategy; refinement; error estimation;
D O I
10.1002/(SICI)1097-0207(19961215)39:23<4039::AID-NME37>3.0.CO;2-C
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Five Adaptive Modification Strategies (AMSs) are studied as means to obtain nearly optimal meshes using an adaptive finite element modelling system based on the h-version of the FEM. These strategies include the method traditionally seem in the literature(1) as well as four additional methods. The five strategies are tested over five numerical examples, one of them producing convergence oscillations in one example. The principal characteristic of our system is that it permits the user to control certain parameters of the adaptive process, which contributes to an improvement in the results.
引用
收藏
页码:4039 / 4061
页数:23
相关论文
共 50 条
  • [1] Alternative mesh optimality criteria for h-adaptive finite element method
    Coorevits, P
    Bellenger, E
    [J]. FINITE ELEMENTS IN ANALYSIS AND DESIGN, 2004, 40 (9-10) : 1195 - 1215
  • [2] CONSTRUCTING OF H-ADAPTIVE FINITE ELEMENT METHOD FOR PIEZOELECTRICITY PROBLEM
    Chaban, F. V.
    Shynkarenko, H. A.
    [J]. JOURNAL OF NUMERICAL AND APPLIED MATHEMATICS, 2009, 1 (97): : 1 - 9
  • [3] An H-Adaptive Finite Element Method for Turbulent Heat Transfer
    Carrington, David B.
    Wang, Xiuling
    Pepper, Darrell W.
    [J]. CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, 2010, 61 (01): : 23 - 44
  • [4] H-adaptive finite element modelling system
    Makar, V
    Matviykiv, O
    [J]. EXPERIENCE OF DESIGNING AND APPLICATION OF CAD SYSTEMS IN MICROELECTRONICS, 2003, : 321 - 323
  • [5] An MP-DWR method for h-adaptive finite element methods
    Chengyu Liu
    Guanghui Hu
    [J]. Numerical Algorithms, 2023, 94 : 1309 - 1329
  • [6] An MP-DWR method for h-adaptive finite element methods
    Liu, Chengyu
    Hu, Guanghui
    [J]. NUMERICAL ALGORITHMS, 2023, 94 (03) : 1309 - 1329
  • [7] H-adaptive finite element methods for contact problems
    Wriggers, P
    Han, CS
    Rieger, A
    [J]. MATHEMATICS OF FINITE ELEMENTS AND APPLICATIONS X, 2000, : 117 - 141
  • [8] SOLVING OF CONTACT MECHANICS PROBLEM USING H-ADAPTIVE FINITE ELEMENT METHOD
    Yashchuk, Yu. O.
    Prokopyshyn, I. I.
    [J]. SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA, 2014, 11 : 220 - 228
  • [9] An h-adaptive method in the generalized finite differences
    Benito, JJ
    Ureña, F
    Gavete, L
    Alvarez, R
    [J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2003, 192 (5-6) : 735 - 759
  • [10] H-ADAPTIVE FINITE ELEMENT ANALYSIS OF CONSOLIDATION PROBLEMS IN GEOMECHANICS
    Kardani, M.
    Nazem, M.
    Abbo, A. J.
    [J]. COMPUTATIONAL PLASTICITY XII: FUNDAMENTALS AND APPLICATIONS, 2013, : 1313 - 1318