Deriving upwinding, mass lumping and selective reduced integration by residual-free bubbles

被引：93

作者：

Franca, LP ^{[1
]}

Russo, A ^{[1
]}

机构：

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

来源：

APPLIED MATHEMATICS LETTERS | 1996年 / 9卷 / 05期

关键词：

bubble functions; Galerkin finite element method; upwinding; mass lumping; selective reduced integration;

D O I：

10.1016/0893-9659(96)00078-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that three well-known ''variational crimes'' in finite elements-upwinding, mass lumping and selective reduced integration-may be derived from the Galerkin method employing the standard polynomial-based finite element spaces enriched with residual-free bubbles.

引用

页码：83 / 88

页数：6

共 30 条

[1] Deriving upwinding, mass lumping and selective reduced integration by residual-free bubbles
Department of Mathematics, University of Colorado at Denver, Campus Box 170, P.O. Box 173364, Denver, CO 80217-3364, United States
不详
Appl Math Lett, 5 (83-88):
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[3] Unlocking with residual-free bubbles
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[5] Residual-free bubbles for embedded Dirichlet problems
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[8] ON THE STABILITY OF THE RESIDUAL-FREE BUBBLES FOR THE NAVIER-STOKES EQUATIONS
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[9] On the stability of the residual-free bubbles for the Navier-Stokes equations
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ACTA MATHEMATICA SCIENTIA, 2005, 25 (04) : 715 - 730
[10] Further considerations on residual-free bubbles for advective-diffusive equations
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