STABILIZATION OF SPECTRAL METHODS BY FINITE-ELEMENT BUBBLE FUNCTIONS

被引:42
作者
CANUTO, C [1 ]
机构
[1] CNR, IST ANAL NUMER, I-27100 PAVIA, ITALY
关键词
D O I
10.1016/S0045-7825(94)80004-9
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We show that a standard spectral collocation scheme can be stabilized by adding extra trial/test functions with local support (bubbles). Applications are given to a scalar advection-diffusion problem and to the Stokes problem.
引用
收藏
页码:13 / 26
页数:14
相关论文
共 18 条
[1]  
Arnold D., 1984, CALCOLO, V21, P337, DOI 10.1007/bf02576171
[2]   VIRTUAL BUBBLES AND GALERKIN-LEAST-SQUARES TYPE METHODS (GA.L.S.) [J].
BAIOCCHI, C ;
BREZZI, F ;
FRANCA, LP .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1993, 105 (01) :125-141
[3]   POLYNOMIAL INTERPOLATION RESULTS IN SOBOLEV SPACES [J].
BERNARDI, C ;
MADAY, Y .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1992, 43 (1-2) :53-80
[4]   SPECTRAL APPROXIMATION OF THE PERIODIC-NONPERIODIC NAVIER-STOKES EQUATIONS [J].
BERNARDI, C ;
MADAY, Y ;
METIVET, B .
NUMERISCHE MATHEMATIK, 1987, 51 (06) :655-700
[5]   GENERALIZED INF-SUP CONDITIONS FOR TSCHEBYSCHEFF SPECTRAL APPROXIMATION OF THE STOKES PROBLEM [J].
BERNARDI, C ;
CANUTO, C ;
MADAY, Y .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1988, 25 (06) :1237-1271
[6]   A RELATIONSHIP BETWEEN STABILIZED FINITE-ELEMENT METHODS AND THE GALERKIN METHOD WITH BUBBLE FUNCTIONS [J].
BREZZI, F ;
BRISTEAU, MO ;
FRANCA, LP ;
MALLET, M ;
ROGE, G .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1992, 96 (01) :117-129
[7]   STREAMLINE UPWIND PETROV-GALERKIN FORMULATIONS FOR CONVECTION DOMINATED FLOWS WITH PARTICULAR EMPHASIS ON THE INCOMPRESSIBLE NAVIER-STOKES EQUATIONS [J].
BROOKS, AN ;
HUGHES, TJR .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1982, 32 (1-3) :199-259
[8]  
CANUTO C, 1982, MATH COMPUT, V38, P67, DOI 10.1090/S0025-5718-1982-0637287-3
[9]   BOUNDARY AND INTERFACE CONDITIONS WITHIN A FINITE-ELEMENT PRECONDITIONER FOR SPECTRAL METHODS [J].
CANUTO, C ;
PIETRA, P .
JOURNAL OF COMPUTATIONAL PHYSICS, 1990, 91 (02) :310-343
[10]  
CANUTO C, 1990, SPECTRAL METHODS FLU