AN ADAPTIVE FINITE-ELEMENT STRATEGY FOR THE 3-DIMENSIONAL TIME-DEPENDENT NAVIER-STOKES EQUATIONS

被引：37

作者：

BANSCH, E ^{[1
]}

机构：

[1] UNIV FREIBURG,INST ANGEW MATH,W-7800 FREIBURG,GERMANY

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1991年 / 36卷 / 01期

关键词：

ADAPTIVITY; LOCAL MESH REFINEMENT; NAVIER-STOKES EQUATIONS;

D O I：

10.1016/0377-0427(91)90224-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An adaptive strategy for three-dimensional time-dependent problems in the context of the FEM is presented. The basic tools are a mechanism for local refinement and coarsening of simplical meshes and an unexpensive error-estimator. The algorithm for local grid modification is based on bisecting tetrahedra. The method is applied to the Navier-Stokes equations.

引用

收藏

页码：3 / 28

页数：26

相关论文

共 18 条

[1] ERROR ESTIMATES FOR ADAPTIVE FINITE-ELEMENT COMPUTATIONS [J].

BABUSKA, I ;

RHEINBOLDT, WC .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 1978, 15 (04) :736-754

[2] A-POSTERIORI ERROR ESTIMATES FOR FINITE-ELEMENT METHOD [J].

BABUSKA, I ;

RHEINBOLDT, WC .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1978, 12 (10) :1597-1615

[3]

BABUSKA I, 1986, ACCURACY ESTIMATES A

[4]

BANK RE, 1985, MATH COMPUT, V44, P283, DOI 10.1090/S0025-5718-1985-0777265-X

[5]

BANSCH E, UNPUB IMPACT COMPUT

[6] NUMERICAL-METHODS FOR THE NAVIER-STOKES EQUATIONS - APPLICATIONS TO THE SIMULATION OF COMPRESSIBLE AND INCOMPRESSIBLE VISCOUS FLOWS [J].

BRISTEAU, MO ;

GLOWINSKI, R ;

PERIAUX, J .

COMPUTER PHYSICS REPORTS, 1987, 6 (1-6) :73-187

[7]

ERIKSSON K, 1988, MATH COMPUT, V50, P361, DOI 10.1090/S0025-5718-1988-0929542-X

[8] THE CONVERGENCE OF 2 NUMERICAL SCHEMES FOR THE NAVIER-STOKES EQUATIONS [J].

FERNANDEZCARA, E ;

BELTRAN, MM .

NUMERISCHE MATHEMATIK, 1989, 55 (01) :33-60

[9] ADAPTIVE FINITE-ELEMENT METHODS FOR DIFFUSION AND CONVECTION PROBLEMS [J].

JOHNSON, C .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1990, 82 (1-3) :301-322

[10] A COMPARISON OF ADAPTIVE REFINEMENT TECHNIQUES FOR ELLIPTIC PROBLEMS [J].

MITCHELL, WF .

ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE, 1989, 15 (04) :326-347