Mesh refinement formulations in adaptive finite element methods

被引：6

作者：

Li, LY

Bettess, P

Bull, JW

Bond, T

机构：

[1] UNIV DURHAM,SCH ENGN,DURHAM DH1 3HP,ENGLAND

[2] UNIV NEWCASTLE,DEPT CIVIL ENGN,NEWCASTLE TYNE,TYNE & WEAR,ENGLAND

[3] NORTHUMBRIA UNIV,DEPT MEMS,NEWCASTLE TYNE NE1 8ST,TYNE & WEAR,ENGLAND

来源：

PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART C-JOURNAL OF MECHANICAL ENGINEERING SCIENCE | 1996年 / 210卷 / 04期

关键词：

adaptivity; finite elements; error estimates; mesh refinement; bending of plates;

D O I：

10.1243/PIME_PROC_1996_210_207_02

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

This paper presents some new ideas for developing adaptive remeshing strategies. It is shown that correct mesh refinement formulations should be defined at an element level rather than a global level. To accomplish this, permissible element errors are required to be defined This paper describes the methods to determine the permissible element errors. Two mesh refinement formulations are derived according to different accuracy definitions and are compared with the conventional mesh refinement formulation derived at the global level. Numerical examples are shown to explain the features of these mesh refinement formulations. Recommendations are made for use of these mesh refinement formulations.

引用

页码：353 / 361

页数：9

共 50 条

[41] A-POSTERIORI ADAPTIVE MESH REFINEMENT IN THE FINITE-ELEMENT EDDY-CURRENT COMPUTATION
GOLIAS, NA
TSIBOUKIS, TD
[J]. COMPEL-THE INTERNATIONAL JOURNAL FOR COMPUTATION AND MATHEMATICS IN ELECTRICAL AND ELECTRONIC ENGINEERING, 1992, 11 (01) : 249 - 252
[42] AN APPROACH FOR AUTOMATIC ADAPTIVE MESH REFINEMENT IN FINITE-ELEMENT COMPUTATION OF MAGNETIC-FIELDS
RAIZER, A
MEUNIER, G
COULOMB, JL
[J]. IEEE TRANSACTIONS ON MAGNETICS, 1989, 25 (04) : 2965 - 2967
[43] An adaptive mesh h-refinement algorithm for the finite-element modeling of sheet forming
Xing, HL
Wang, S
Makinouchi, A
[J]. JOURNAL OF MATERIALS PROCESSING TECHNOLOGY, 1999, 91 (1-3) : 183 - 190
[44] Adaptive mesh refinement of upper bound finite element method and its applications in geotechnical engineering
Zhao, Ming-Hua
Zhang, Rui
[J]. Yantu Gongcheng Xuebao/Chinese Journal of Geotechnical Engineering, 2016, 38 (03): : 537 - 545
[45] ADAPTIVE FINITE-ELEMENT METHODS FOR THE ANALYSIS OF INVISCID COMPRESSIBLE FLOW .1. FAST REFINEMENT UNREFINEMENT AND MOVING MESH METHODS FOR UNSTRUCTURED MESHES
ODEN, JT
STROUBOULIS, T
DEVLOO, P
[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1986, 59 (03) : 327 - 362
[46] Adaptive finite element analysis with local mesh refinement based on a posteriori error estimate of element energy projection technique
Dong, Yiyi
Yuan, Si
Xing, Qinyan
[J]. ENGINEERING COMPUTATIONS, 2019, 36 (06) : 2010 - 2033
[47] Adaptive Finite Element Method of Lines with Local Mesh Refinement in Maximum Norm Based on Element Energy Projection Method
Yuan, Si
Dong, Yiyi
Xing, Qinyan
Fang, Nan
[J]. INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS, 2020, 17 (04)
[48] Adaptive finite element methods
Bonito, Andrea
Canuto, Claudio
Nochetto, Ricardo H.
Veeser, Andreas
[J]. ACTA NUMERICA, 2024, 33 : 163 - 485
[49] Mesh simplification and adaptive LOD for finite element mesh generation
Date, H
Kanai, S
Kishinami, T
Nishigaki, I
[J]. NINTH INTERNATIONAL CONFERENCE ON COMPUTER AIDED DESIGN AND COMPUTER GRAPHICS, PROCEEDINGS, 2005, : 339 - 344
[50] Finite volume WENO methods for hyperbolic conservation laws on Cartesian grids with adaptive mesh refinement
Buchmueller, Pawel
Dreher, Juergen
Helzel, Christiane
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2016, 272 : 460 - 478

← 1 2 3 4 5 →