Mass lumping emanating from residual-free bubbles

被引：28

作者：

Franca, LP ^{[1
]}

Russo, A ^{[1
]}

机构：

[1] UNIV PAVIA,IST ANAL NUMER,I-27100 PAVIA,ITALY

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 1997年 / 142卷 / 3-4期

关键词：

D O I：

10.1016/S0045-7825(96)01137-1

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A nodally exact scheme is derived for a model equation in 1D involving zeroth and second-order terms. The method is derived using residual-free bubbles in conjunction with the Galerkin approximation. It is shown that this approach leads to the mass lumping scheme for sufficiently small mesh sizes.

引用

收藏

页码：353 / 360

页数：8

相关论文

共 8 条

[1] VIRTUAL BUBBLES AND GALERKIN-LEAST-SQUARES TYPE METHODS (GA.L.S.) [J].

BAIOCCHI, C ;

BREZZI, F ;

FRANCA, LP .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1993, 105 (01) :125-141

[2] A RELATIONSHIP BETWEEN STABILIZED FINITE-ELEMENT METHODS AND THE GALERKIN METHOD WITH BUBBLE FUNCTIONS [J].

BREZZI, F ;

BRISTEAU, MO ;

FRANCA, LP ;

MALLET, M ;

ROGE, G .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1992, 96 (01) :117-129

[3] CHOOSING BUBBLES FOR ADVECTION-DIFFUSION PROBLEMS [J].

BREZZI, F ;

RUSSO, A .

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 1994, 4 (04) :571-587

[4] BUBBLE FUNCTIONS PROMPT UNUSUAL STABILIZED FINITE-ELEMENT METHODS [J].

FRANCA, LP ;

FARHAT, C .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1995, 123 (1-4) :299-308

[5] Unlocking with residual-free bubbles [J].

Franca, LP ;

Russo, A .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1997, 142 (3-4) :361-364

[6] Deriving upwinding, mass lumping and selective reduced integration by residual-free bubbles [J].

Franca, LP ;

Russo, A .

APPLIED MATHEMATICS LETTERS, 1996, 9 (05) :83-88

[7]

RUSSO A, 1994, 930 I AN NUM CNR

[8]

RUSSO A, 1995, P 9 INT C FIN EL FLU, P1607