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 13 条

[1] DISCRETIZATION BY FINITE-ELEMENTS OF A MODEL PARAMETER DEPENDENT PROBLEM [J].