Residual-free bubbles for advection-diffusion problems:: the general error analysis

被引：1
作者：
Brezzi, F
Marini, D
Süli, E
机构：
[1] CNR, Dipartimento Matemat, I-27100 Pavia, Italy
[2] CNR, Ist Anal Numer, I-27100 Pavia, Italy
[3] Univ Oxford, Comp Lab, Oxford OX1 3QD, England
来源：
NUMERISCHE MATHEMATIK | 2000年 / 85卷 / 01期
关键词：
Mathematics Subject Classification (1991):65N30;
D O I：
10.1007/s002110050476
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We develop the general a priori error analysis of residual-free bubble finite element approximations to non-self-adjoint elliptic problems of the form (epsilon A + C)u = f subject to homogeneous Dirichlet boundary condition, where A is a symmetric second-order elliptic operator, C is a skew-symmetric first-order differential operator, and epsilon is a positive parameter. Optimal-order error bounds are derived in various norms, using piecewise polynomial finite elements of degree k greater than or equal to 1.
引用
收藏
页码：31 / 47
页数：17
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