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
ARNOLD, DN
[J]. NUMERISCHE MATHEMATIK, 1981, 37 (03) : 405 - 421
[2] VIRTUAL BUBBLES AND GALERKIN-LEAST-SQUARES TYPE METHODS (GA.L.S.)
BAIOCCHI, C
BREZZI, F
FRANCA, LP
[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1993, 105 (01) : 125 - 141
[3] CHOOSING BUBBLES FOR ADVECTION-DIFFUSION PROBLEMS
BREZZI, F
RUSSO, A
[J]. MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 1994, 4 (04) : 571 - 587
[4] FRANCA LP, 1995, 977 CNR I AN NUM CNR
[5] FRANCA LP, 1995, 976 I AN NUM CNR
[6] FRANCA LP, UNPUB COMPUT METHS A
[7] MIXED PETROV-GALERKIN METHODS FOR THE TIMOSHENKO BEAM PROBLEM
LOULA, AFD
HUGHES, TJR
FRANCA, LP
MIRANDA, I
[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1987, 63 (02) : 133 - 154
[8] MacNeal RH., 1994, FINITE ELEMENTS THEI
[9] MIXED FINITE-ELEMENT METHODS - REDUCED AND SELECTIVE INTEGRATION TECHNIQUES - UNIFICATION OF CONCEPTS
MALKUS, DS
HUGHES, TJR
[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1978, 15 (01) : 63 - 81
[10] RUSSO A, 1994, 930 CNR I AN NUM

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