NUMERICAL-SOLUTION OF NON-LINEAR PROBLEMS IN FLUID-DYNAMICS BY LEAST-SQUARES AND FINITE-ELEMENT METHODS .1. LEAST-SQUARE FORMULATIONS AND CONJUGATE GRADIENT SOLUTION OF THE CONTINUOUS PROBLEMS

被引：51

作者：

BRISTEAU, MO

PIRONNEAU, O

GLOWINSKI, R

PERIAUX, J

PERRIER, P

机构：

[1] Universite Paris VI, 75230 Paris Cedex 05, L.A. 189, Tour 55.65-5e etage, 4, Place Jussieu

[2] A.M.D./B.A., 92210 St Cloud, 75, Quai Carnot

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 1979年 / 17-8卷 / MAR期

关键词：

D O I：

10.1016/0045-7825(79)90048-3

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper we consider the solution of nonlinear problems in Fluid Dynamics by least square formulations and conjugate gradient algorithms. We discuss first the solution by these methods of a fairly academic example and then their applications to the transonic potential flows of compressible, inviscid fluids and to the Navier-Stokes equations of incompressible viscous fluids. The solution of the corresponding discrete problems (via finite element approximation) will be reported in forthcoming papers containing numerical examples. © 1979.

引用

页码：619 / 657

页数：39

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