A POSTERIORI ERROR ESTIMATION OF FINITE-ELEMENT APPROXIMATIONS IN FLUID-MECHANICS

被引：36

作者：

STROUBOULIS, T ^{[1
]}

ODEN, JT ^{[1
]}

机构：

[1] UNIV TEXAS,TEXAS INST COMPUTAT MECH,AUSTIN,TX 78712

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 1990年 / 78卷 / 02期

关键词：

Mathematical Techniques--Finite Element Method;

D O I：

10.1016/0045-7825(90)90101-Q

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Several techniques for a posteriori error estimation of finite element approximations of time-dependent problems are developed and tested. These include a discontinuous Galerkin method for linear convection problems, a residual-type method for diffusion problems and an operator splitting method for convection-diffusion problems. Some extensions to certain classes of nonlinear hyperbolic problems are also presented. © 1990.

引用

页码：201 / 242

页数：42

共 3 条

[1] AN ANALYSIS OF FINITE-ELEMENT APPROXIMATIONS FOR AN ALGEBRAIC MODEL OF TURBULENCE
TURNER, JC
GUNZBURGER, MD
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1988, 15 (11) : 945 - 951
[2] Adaptive implicit-explicit finite element algorithms for fluid mechanics problems
Tezduyar, T.E.
Liou, J.
American Society of Mechanical Engineers, Applied Mechanics Division, AMD, 1988, 95 : 163 - 184
[3] A NEW FINITE-ELEMENT FORMULATION FOR COMPUTATIONAL FLUID-DYNAMICS .5. CIRCUMVENTING THE BABUSKA-BREZZI CONDITION - A STABLE PETROV-GALERKIN FORMULATION OF THE STOKES PROBLEM ACCOMMODATING EQUAL-ORDER INTERPOLATIONS
HUGHES, TJR
FRANCA, LP
BALESTRA, M
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1986, 59 (01) : 85 - 99

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