MIXED FINITE-ELEMENT METHODS WITH CONTINUOUS STRESSES

被引：53

作者：

BREZZI, F

FORTIN, M

MARINI, LD

机构：

[1] UNIV PAVIA, DIPARTIMENTO MECCAN STRUTTURALE, I-27100 PAVIA, ITALY

[2] CNR, IST ANAL NUMER, I-27100 PAVIA, ITALY

[3] UNIV LAVAL, DEPT MATH, QUEBEC CITY G1K 7P4, QUEBEC, CANADA

[4] UNIV GENOA, DIPARTIMENTO MATEMAT, I-16132 GENOA, ITALY

来源：

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 1993年 / 3卷 / 02期

关键词：

D O I：

10.1142/S0218202593000151

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present a modified mixed formulation for second order elliptic equations and linear elasticity problems which automatically satisfies the ''ellipticity on the kernel'' condition, i.e., one of the two compatibility conditions necessary to ensure stability and optimal error bounds (the other being the Inf-Sup condition). This modification differs from similar ones introduced by other authors in that it is independent of the mesh size. Moreover, it allows the use of continuous stress.

引用

页码：275 / 287

页数：13

共 13 条

[1]

[Anonymous], 1977, MATH ASPECTS FINITE

[2]

Arnold D., 1984, CALCOLO, V21, P337, DOI 10.1007/bf02576171

[3] 2 FAMILIES OF MIXED FINITE-ELEMENTS FOR 2ND ORDER ELLIPTIC PROBLEMS [J].