Differential quadrature domain decomposition method for problems on a triangular domain

被引：17

作者：

Wu, XH ^{[1
]}

Liu, S ^{[1
]}

机构：

[1] Tongji Univ, Dept Appl Math, Shanghai 200092, Peoples R China

来源：

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2005年 / 21卷 / 03期

关键词：

differential quadrature method; domain decomposition method; boundary reduction technique; block matrix technique; triangular domain;

D O I：

10.1002/num.20052

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The differential quadrature method (DQM) has been studied for years and it has been shown by many researchers that the DQM is an attractive numerical method with high efficiency and accuracy. The conventional DQM is mostly effective for one-dimensional and multidimensional problems with geometrically regular domains. But to deal with problems on a triangular domain, we will meet difficulties. In this article we will study how to solve problems on a triangular domain by using DQM combined with the domain decomposition method (DDM). (c) 2004 Wiley Periodicals, Inc.

引用

页码：574 / 585

页数：12

共 14 条

[1]

[Anonymous], 1996, NUMERIC METHODS PART

[2]

[Anonymous], 1994, NUMER METHOD PARTIAL, DOI DOI 10.1002/NUM.1690100503

[3] DIFFERENTIAL QUADRATURE AND LONG-TERM INTEGRATION [J].

BELLMAN, R ;

CASTI, J .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1971, 34 (02) :235-&

[4]

Bert C.W., 1996, APPL MECH REV, V49, P1, DOI DOI 10.1115/1.3101882

[5] DIFFERENTIAL QUADRATURE FOR STATIC AND FREE-VIBRATION ANALYSES OF ANISOTROPIC PLATES [J].

BERT, CW ;

WANG, X ;

STRIZ, AG .

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 1993, 30 (13) :1737-1744

[6]

Escobar FH, 1997, COMMUN NUMER METH EN, V13, P453

[7]

MALIK M, 1995, J CHEM ENG SCI, V50, P531

[8] NEW INSIGHTS IN SOLVING DISTRIBUTED SYSTEM EQUATIONS BY THE QUADRATURE METHOD .1. ANALYSIS [J].

QUAN, JR ;

CHANG, CT .

COMPUTERS & CHEMICAL ENGINEERING, 1989, 13 (07) :779-788

[9] NEW INSIGHTS IN SOLVING DISTRIBUTED SYSTEM EQUATIONS BY THE QUADRATURE METHOD .2. NUMERICAL EXPERIMENTS [J].

QUAN, JR ;

CHANG, CT .

COMPUTERS & CHEMICAL ENGINEERING, 1989, 13 (09) :1017-1024

[10]

TIMOSHENKO SP, 1970, THEORY ELAST

← 1 2 →