On mass conservation in least-squares methods

被引：24

作者：

Bolton, P ^{[1
]}

Thatcher, RW ^{[1
]}

机构：

[1] UMIST, Dept Math, Manchester M60 1QD, Lancs, England

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2005年 / 203卷 / 01期

关键词：

first-order; least-squares; finite elements; conservation of mass; Stokes flows; stress and stream functions;

D O I：

10.1016/j.jcp.2004.08.013

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

We compare three least-squares finite element reformulations of the Stokes equations, paying particular attention to mass conservation. The first problem we approximate has a simple analytical solution over a convex region. Even for this simple problem, without special treatment of the conservation of mass term, very poor numerical solutions may result. Sufficiently weighting this term leads to a dramatic improvement in the results over a range of test problems. (C) 2004 Elsevier Inc. All rights reserved.

引用

页码：287 / 304

页数：18

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