GRID OPTIMIZATION FOR THE BOUNDARY ELEMENT METHOD

被引：51

作者：

INGBER, MS

MITRA, AK

机构：

[1] Iowa State Univ, Ames, IA, USA, Iowa State Univ, Ames, IA, USA

来源：

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING | 1986年 / 23卷 / 11期

关键词：

FLOW OF FLUIDS - PLATES;

D O I：

10.1002/nme.1620231110

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The quality of solution obtained using the boundary element method (BEM) is dependent on how the boundary is discretized. This is particularly true in domains of complex geometry. A rule for grid optimization for the BEM is derived on the bases of an asymptotic measure of the boundary element error that preserves the number of elements (degrees of freedom). Three example problems are provided to show the advantages of grid optimization in terms of accuracy and cost.

引用

收藏

页码：2121 / 2136

页数：16

相关论文

共 17 条

[1] HIERARCHICAL BOUNDARY ELEMENTS [J].

ALARCON, E ;

REVERTER, A ;

MOLINA, J .

COMPUTERS & STRUCTURES, 1985, 20 (1-3) :151-156

[2]

ANDERSON DA, 1983, ASME SPECIAL PUBLICA, V5

[3] ANALYSIS OF OPTIMAL FINITE-ELEMENT MESHES IN R [J].

BABUSKA, I ;

RHEINBOLDT, WC .

MATHEMATICS OF COMPUTATION, 1979, 33 (146) :435-463

[4] A-POSTERIORI ERROR ESTIMATES FOR FINITE-ELEMENT METHOD [J].

BABUSKA, I ;

RHEINBOLDT, WC .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1978, 12 (10) :1597-1615

[5]

Bernal M. J. M., 1970, Computer Journal, V13, P87, DOI 10.1093/comjnl/13.1.87

[6] ANALYTICAL AND NUMERICAL STUDIES OF STRUCTURE OF STEADY SEPARATED FLOWS [J].

BURGGRAF, OR .

JOURNAL OF FLUID MECHANICS, 1966, 24 :113-&

[7] A METHOD OF GRID OPTIMIZATION FOR FINITE-ELEMENT METHODS [J].

DIAZ, AR ;

KIKUCHI, N ;

TAYLOR, JE .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1983, 41 (01) :29-45

[8] THE MOVING FINITE-ELEMENT METHOD - APPLICATIONS TO GENERAL PARTIAL-DIFFERENTIAL EQUATIONS WITH MULTIPLE LARGE GRADIENTS [J].

GELINAS, RJ ;

DOSS, SK ;

MILLER, K .

JOURNAL OF COMPUTATIONAL PHYSICS, 1981, 40 (01) :202-249

[9] BOUNDARY APPROXIMATIONS AND ACCURACY IN VISCOUS-FLOW COMPUTATIONS [J].

GUPTA, MM ;

MANOHAR, RP .

JOURNAL OF COMPUTATIONAL PHYSICS, 1979, 31 (02) :265-288

[10] THE COMPLEX VARIABLE BOUNDARY ELEMENT METHOD - APPLICATIONS [J].

HROMADKA, TV ;

YEN, CC ;

GUYMON, GL .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1985, 21 (06) :1013-1025