On the imposition of essential boundary conditions in natural neighbour Galerkin methods

被引：24

作者：

Cueto, E

Cegoñino, J

Calvo, B

Doblaré, M

机构：

[1] Univ Zaragoza, Dept Mech Engn, Edificio Betancourt, Ctr Politecn Super, E-50018 Zaragoza, Spain

[2] Univ Zaragoza, Inst Ind Res Aragon, Struct & Mat Modeling Grp, E-50018 Zaragoza, Spain

来源：

COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING | 2003年 / 19卷 / 05期

关键词：

meshless methods; essential boundary conditions; medial axis; epsilon-sampling; FE-NE coupling;

D O I：

10.1002/cnm.595

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper issues related to the imposition of essential boundary conditions in natural neighbour Galerkin methods are addressed. Both Sibson and non-Sibson interpolants ability to exactly reproduce essential boundary conditions is investigated and a new analytical condition ensuring linear precision along explicitly described (i.e. CAD) boundaries in both two and three dimensions is presented. The paper is completed with some benchmark numerical examples. Copyright (C) 2003 John Wiley Sons, Ltd.

引用

页码：361 / 376

页数：16

共 26 条

[1] The crust and the β-skeleton:: Combinatorial curve reconstruction [J].

Amenta, N ;

Bern, M ;

Eppstein, D .

GRAPHICAL MODELS AND IMAGE PROCESSING, 1998, 60 (02) :125-135

[2]

AMENTA N, 1998, SIGGRAPH, V9, P415

[3]

Armstrong C.G., 1995, 4 INT MESHING ROUNDT, P277

[4]

Belikov VV., 1997, Computational Mathematics and Mathematical Physics, V37, P9

[5] Meshless methods: An overview and recent developments [J].

Belytschko, T ;

Krongauz, Y ;

Organ, D ;

Fleming, M ;

Krysl, P .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1996, 139 (1-4) :3-47

[6]

Cueto E, 2000, INT J NUMER METH ENG, V49, P519, DOI 10.1002/1097-0207(20001010)49:4<519::AID-NME958>3.0.CO

[7]

2-0

[8] Modelling three-dimensional piece-wise homogeneous domains using the α-shape-based natural element method [J].

Cueto, E ;

Calvo, B ;

Doblaré, M .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2002, 54 (06) :871-897

[9] 3-DIMENSIONAL ALPHA-SHAPES [J].

EDELSBRUNNER, H ;

MUCKE, EP .

ACM TRANSACTIONS ON GRAPHICS, 1994, 13 (01) :43-72

[10]

EDELSBRUNNER H, 1983, IEEE T INFORM THEORY, V29, P551, DOI 10.1109/TIT.1983.1056714

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