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

页码：31 / 47

页数：17

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