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
来源：
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 1992年 / 101卷 / 1-3期
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
  • [41] SIMPLE ALGORITHM FOR ADAPTIVE REFINEMENT OF 3-DIMENSIONAL FINITE-ELEMENT TETRAHEDRAL MESHES
    MUTHUKRISHNAN, SN
    SHIAKOLAS, PS
    NAMBIAR, RV
    LAWRENCE, KL
    AIAA JOURNAL, 1995, 33 (05) : 928 - 932
  • [42] AN AUTOMATIC ADAPTIVE REFINEMENT FINITE-ELEMENT PROCEDURE FOR 2D ELASTOSTATIC ANALYSIS
    LEE, CK
    LO, SH
    INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1992, 35 (10) : 1967 - 1989
  • [43] ADAPTIVE MULTIPLE-LEVEL H-REFINEMENT IN AUTOMATED FINITE-ELEMENT ANALYSES
    BAEHMANN, PL
    SHEPHARD, MS
    ENGINEERING WITH COMPUTERS, 1989, 5 (3-4) : 235 - 247
  • [44] A-POSTERIORI ADAPTIVE MESH REFINEMENT IN THE FINITE-ELEMENT EDDY-CURRENT COMPUTATION
    GOLIAS, NA
    TSIBOUKIS, TD
    COMPEL-THE INTERNATIONAL JOURNAL FOR COMPUTATION AND MATHEMATICS IN ELECTRICAL AND ELECTRONIC ENGINEERING, 1992, 11 (01) : 249 - 252
  • [45] AN APPROACH FOR AUTOMATIC ADAPTIVE MESH REFINEMENT IN FINITE-ELEMENT COMPUTATION OF MAGNETIC-FIELDS
    RAIZER, A
    MEUNIER, G
    COULOMB, JL
    IEEE TRANSACTIONS ON MAGNETICS, 1989, 25 (04) : 2965 - 2967
  • [46] AN ENHANCED ERROR ESTIMATOR PROCEDURE FOR FINITE-ELEMENT FIELD COMPUTATION WITH ADAPTIVE MESH REFINEMENT
    FERNANDES, P
    GIRDINIO, P
    MOLFINO, P
    REPETTO, M
    IEEE TRANSACTIONS ON MAGNETICS, 1990, 26 (05) : 2187 - 2189
  • [47] An adaptive mesh h-refinement algorithm for the finite-element modeling of sheet forming
    Xing, HL
    Wang, S
    Makinouchi, A
    JOURNAL OF MATERIALS PROCESSING TECHNOLOGY, 1999, 91 (1-3) : 183 - 190
  • [48] Superconvergent patch recovery with constraints for three-dimensional contact problems within the Cartesian grid Finite Element Method
    Navarro-Jimenez, Jose M.
    Navarro-Garcia, Hector
    Tur, Manuel
    Rodenas, Juan J.
    INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2020, 121 (06) : 1297 - 1313
  • [49] Mixed finite elements based on superconvergent patch recovery for strain gradient theory
    Choi, Jae-Hoon
    Lee, Byung-Chai
    Sim, Gi-Dong
    COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2023, 411
  • [50] Superconvergent recovery of edge finite element approximation for Maxwell's equations
    Wu, Chao
    Huang, Yunqing
    Yi, Nianyu
    Yuan, Jinyun
    COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2020, 371
12345