THE SUPERCONVERGENT PATCH RECOVERY (SPR) AND ADAPTIVE FINITE-ELEMENT REFINEMENT

被引:304
|
作者
ZIENKIEWICZ, OC
ZHU, JZ
机构
[1] Institute of Numerical Methods in Engineering, Swansea
关键词
D O I
10.1016/0045-7825(92)90023-D
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The error estimation processes which have been developed by the authors depend on the accuracy with which stresses (gradients) can be recovered. The recovery methods available currently, such as the L2 projection and averaging, are inaccurate and an improved process is needed. This paper presents a very much improved recovery process yielding superconvergent values throughout the domain. Details of this method, named the superconvergent patch recovery, are presented with test results showing its efficiency. Examples of adaptive, h-based refinement are given, showing high local and overall efficiency indices for error estimation.
引用
收藏
页码:207 / 224
页数:18
相关论文
共 50 条
  • [31] TRIAL BY THE R-METHOD - AN ADAPTIVE MESH REFINEMENT FOR THE FINITE-ELEMENT METHOD
    TEZUKA, A
    OKUDA, O
    JSME INTERNATIONAL JOURNAL SERIES I-SOLID MECHANICS STRENGTH OF MATERIALS, 1988, 31 (01): : 50 - 55
  • [32] MULTIGRID METHODS AND ADAPTIVE REFINEMENT TECHNIQUES IN ELLIPTIC PROBLEMS BY FINITE-ELEMENT METHODS
    STORTI, M
    NIGRO, N
    IDELSOHN, S
    COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1991, 93 (01) : 13 - 30
  • [33] ADAPTIVE MESH REFINEMENT FOR MULTILAYER PROCESS SIMULATION USING THE FINITE-ELEMENT METHOD
    BACCUS, B
    COLLARD, D
    DUBOIS, E
    IEEE TRANSACTIONS ON COMPUTER-AIDED DESIGN OF INTEGRATED CIRCUITS AND SYSTEMS, 1992, 11 (03) : 396 - 403
  • [34] Improvement of the superconvergent patch recovery technique by the use of constraint equations:: The SPR-C technique
    Rodenas, J. J.
    Tur, M.
    Fuenmayor, F. J.
    Vercher, A.
    INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2007, 70 (06) : 705 - 727
  • [35] A SUPERCONVERGENT FINITE-ELEMENT METHOD FOR THE KORTEWEG-DE VRIES EQUATION
    ARNOLD, DN
    WINTHER, R
    MATHEMATICS OF COMPUTATION, 1982, 38 (157) : 23 - 36
  • [36] SUPERCONVERGENT PROCEDURES FOR THE COMPUTATION OF ENGINEERING DATA FROM FINITE-ELEMENT SOLUTIONS
    SZABO, BA
    COMPUTERS & STRUCTURES, 1990, 35 (04) : 441 - 444
  • [37] Magnetic Flux Density Calculation Accuracy Improvement Of Edge Finite Element Based On Superconvergent Patch Recovery Method
    Man, Jinhui
    Wang, Shuhong
    Duan, Nana
    Niu, Yufeng
    Zhang, Youqin
    Huang, Lixia
    Yang, Jiaxin
    Xu, Weijie
    TWENTIETH BIENNIAL IEEE CONFERENCE ON ELECTROMAGNETIC FIELD COMPUTATION (IEEE CEFC 2022), 2022,
  • [38] FINITE-ELEMENT MESH REFINEMENT BY THE MORTAR METHOD
    BERNARDI, C
    MADAY, Y
    COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1995, 320 (03): : 373 - 377
  • [39] 3D adaptive finite element modeling of non-planar curved crack growth using the weighted superconvergent patch recovery method
    Moslemi, H.
    Khoei, A. R.
    ENGINEERING FRACTURE MECHANICS, 2009, 76 (11) : 1703 - 1728
  • [40] ADAPTIVE MESH REFINEMENT FOR 2-DIMENSIONAL FINITE-ELEMENT STRESS-ANALYSIS
    KRISHNAMOORTHY, CS
    UMESH, KR
    COMPUTERS & STRUCTURES, 1993, 48 (01) : 121 - 133