Stabilized finite element methods with shock capturing for advection-diffusion problems

被引：44

作者：

Knopp, T ^{[1
]}

Lube, G ^{[1
]}

Rapin, G ^{[1
]}

机构：

[1] Univ Gottingen, NAM, Dept Math, D-37083 Gottingen, Germany

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2002年 / 191卷 / 27-28期

关键词：

advection-diffusion problem; stabilized finite element methods; shock-capturing; a priori analysis; a posteriori analysis;

D O I：

10.1016/S0045-7825(02)00222-0

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Stabilized FEM of streamline-diffusion type for advection-diffusion problems may exhibit local oscillations in crosswind direction(s). As a remedy, a shock-capturing variant of such stabilized schemes is considered as an additional consistent (but nonlinear) stabilization. We prove existence of discrete solutions. Then we present some a priori and a posteriori estimates. Finally we address the efficient solution of the arising nonlinear discrete problems. (C) 2002 Elsevier Science B.V. All rights reserved.

引用

页码：2997 / 3013

页数：17

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