A priori error analysis of residual-free bubbles for advection-diffusion problems

被引：93

作者：

Brezzi, F

Hughes, TJR

Marini, LD

Russo, A

Süli, E

机构：

[1] Univ Pavia, Dipartimento Matemat, I-27100 Pavia, Italy

[2] CNR, Ist Anal Numer, I-27100 Pavia, Italy

[3] Stanford Univ, Div Mech & Computat, Stanford, CA 94305 USA

[4] Univ Oxford, Comp Lab, Oxford OX1 3QD, England

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 1999年 / 36卷 / 06期

关键词：

advection-diffusion problems; residual-free bubbles; stabilization;

D O I：

10.1137/S0036142998342367

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We develop an a priori error analysis of a finite element approximation to the elliptic advection-diffusion equation - epsilon Delta u + a . del u = f subject to a homogeneous Dirichlet boundary condition, based on the use of residual-free bubble functions. An optimal order error bound is derived in the so-called stability-norm [GRAPHICS] where h(T) denotes the diameter of element T in the subdivision of the computational domain.

引用

页码：1933 / 1948

页数：16

共 24 条

[1] VIRTUAL BUBBLES AND GALERKIN-LEAST-SQUARES TYPE METHODS (GA.L.S.) [J].