LEAST-SQUARES FINITE-ELEMENT METHOD FOR FLUID-DYNAMICS

被引：119

作者：

JIANG, BN ^{[1
]}

POVINELLI, LA ^{[1
]}

机构：

[1] NASA,LEWIS RES CTR,DIV INTERNAL FLUID MECH,CLEVELAND,OH 44135

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 1990年 / 81卷 / 01期

关键词：

D O I：

10.1016/0045-7825(90)90139-D

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This paper gives an overview of new developments of the least-squares finite element method (LSFEM) in fluid dynamics. Special emphasis is placed on the universality of LSFEM, the symmetry and positiveness of the algebraic systems obtained from LSFEM, the accommodation of LSFEM to equal-order interpolations for incompressible viscous flows, and the natural numerical dissipation of LSFEM for convective transport problems and high-speed compressible flows. The performance of LSFEM is illustrated by numerical examples. © 1990.

引用

页码：13 / 37

页数：25

共 66 条

[1]

AZIZ AK, 1985, MATH COMPUT, V44, P53, DOI 10.1090/S0025-5718-1985-0771030-5

[2] ERROR-BOUNDS FOR FINITE ELEMENT METHOD [J].

BABUSKA, I .

NUMERISCHE MATHEMATIK, 1971, 16 (04) :322-&

[3] ON A FINITE-ELEMENT CFD ALGORITHM FOR COMPRESSIBLE, VISCOUS AND TURBULENT AERODYNAMIC FLOWS [J].

BAKER, AJ ;

KIM, JW ;

FREELS, JD ;

ORZECHOWSKI, JA .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 1987, 7 (11) :1235-1259

[4]

BRAMBLE J, 1970, NUMERICAL SOLUTION P, V2, P107

[5] RAYLEIGH-RITZ-GALERKIN METHODS FOR DIRICHLETS PROBLEM USING SUBSPACES WITHOUT BOUNDARY CONDITIONS [J].

BRAMBLE, JH ;

SCHATZ, AH .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1970, 23 (04) :653-&

[6] STABILIZED MIXED METHODS FOR THE STOKES PROBLEM [J].

BREZZI, F ;

DOUGLAS, J .

NUMERISCHE MATHEMATIK, 1988, 53 (1-2) :225-235

[7]

BREZZI F, 1974, REV FR AUTOMAT INFOR, V8, P129

[8] LEAST-SQUARES FINITE-ELEMENTS FOR 1ST-ORDER HYPERBOLIC SYSTEMS [J].

CAREY, GF ;

JIANG, BN .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1988, 26 (01) :81-93

[9] NONLINEAR PRECONDITIONED CONJUGATE-GRADIENT AND LEAST-SQUARES FINITE-ELEMENTS [J].

CAREY, GF ;

JIANG, BN .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1987, 62 (02) :145-154

[10] LEAST-SQUARES FINITE-ELEMENT METHOD AND PRECONDITIONED CONJUGATE-GRADIENT SOLUTION [J].

CAREY, GF ;

JIANG, BN .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1987, 24 (07) :1283-1296

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