THE RUNGE-KUTTA LOCAL PROJECTION DISCONTINUOUS GALERKIN FINITE-ELEMENT METHOD FOR CONSERVATION-LAWS .4. THE MULTIDIMENSIONAL CASE

被引：1139
作者：
COCKBURN, B [1 ]
HOU, SC [1 ]
SHU, CW [1 ]
机构：
[1] BROWN UNIV, DIV APPL MATH, PROVIDENCE, RI 02912 USA
来源：
MATHEMATICS OF COMPUTATION | 1990年 / 54卷 / 190期
关键词：
D O I：
10.2307/2008501
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
引用
收藏
页码：545 / 581
页数：37
相关论文
共 45 条
[1]  
Bardos C., 1979, COMM PART DIFF EQN, V4, P1017, DOI DOI 10.1080/03605307908820117
[2]   AN UNSPLIT, HIGHER-ORDER GODUNOV METHOD FOR SCALAR CONSERVATION-LAWS IN MULTIPLE DIMENSIONS [J].
BELL, JB ;
DAWSON, CN ;
SHUBIN, GR .
JOURNAL OF COMPUTATIONAL PHYSICS, 1988, 74 (01) :1-24
[3]   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
[4]  
CHAVENT G, 1986, INNOVATIVE NUMERICAL, P337
[5]  
Ciarlet P., 1975, FINITE ELEMENT METHO
[6]   QUASIMONOTONE SCHEMES FOR SCALAR CONSERVATION-LAWS .2. [J].
COCKBURN, B .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1990, 27 (01) :247-258
[7]  
COCKBURN B, 1990, SIAM J NUMER ANAL, V27, P259, DOI 10.1137/0727018
[8]   QUASIMONOTONE SCHEMES FOR SCALAR CONSERVATION-LAWS .1. [J].
COCKBURN, B .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1989, 26 (06) :1325-1341
[9]   TVB RUNGE-KUTTA LOCAL PROJECTION DISCONTINUOUS GALERKIN FINITE-ELEMENT METHOD FOR CONSERVATION-LAWS .2. GENERAL FRAMEWORK [J].
COCKBURN, B ;
SHU, CW .
MATHEMATICS OF COMPUTATION, 1989, 52 (186) :411-435
[10]   TVB RUNGE-KUTTA LOCAL PROJECTION DISCONTINUOUS GALERKIN FINITE-ELEMENT METHOD FOR CONSERVATION-LAWS .3. ONE-DIMENSIONAL SYSTEMS [J].
COCKBURN, B ;
LIN, SY ;
SHU, CW .
JOURNAL OF COMPUTATIONAL PHYSICS, 1989, 84 (01) :90-113
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