A parallel hp-adaptive discontinuous Galerkin method for hyperbolic conservation laws

被引:43
作者
Bey, KS [1 ]
Oden, JT [1 ]
Patra, A [1 ]
机构
[1] UNIV TEXAS,TEXAS INST COMPUTAT & APPL MATH,AUSTIN,TX 78712
关键词
D O I
10.1016/0168-9274(95)00101-8
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper describes a parallel adaptive strategy based on discontinuous hp-finite element approximations of linear, scalar, hyperbolic conservation laws. The paper focuses on the development of an effective parallel adaptive strategy for such problems. Numerical experiments suggest that these techniques are highly parallelizable and deliver super-linear rates of convergence, thereby yielding efficiency many times superior to conventional schemes for hyperbolic problems.
引用
收藏
页码:321 / 336
页数:16
相关论文
共 13 条
[1]   A UNIFIED APPROACH TO A POSTERIORI ERROR ESTIMATION USING ELEMENT RESIDUAL METHODS [J].
AINSWORTH, M ;
ODEN, JT .
NUMERISCHE MATHEMATIK, 1993, 65 (01) :23-50
[2]  
BABUSKA I, 1987, RAIRO-MATH MODEL NUM, V21, P199
[3]   HP-VERSION DISCONTINUOUS GALERKIN METHODS FOR HYPERBOLIC CONSERVATION-LAWS - A PARALLEL ADAPTIVE STRATEGY [J].
BEY, KS ;
PATRA, A ;
ODEN, JT .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1995, 38 (22) :3889-3908
[4]  
BEY KS, IN PRESS COMPUT METH
[5]   THE RUNGE-KUTTA LOCAL PROJECTION DISCONTINUOUS GALERKIN FINITE-ELEMENT METHOD FOR CONSERVATION-LAWS .4. THE MULTIDIMENSIONAL CASE [J].
COCKBURN, B ;
HOU, SC ;
SHU, CW .
MATHEMATICS OF COMPUTATION, 1990, 54 (190) :545-581
[6]  
DEVINE KM, 1994, THESIS RENSSELAER PO
[7]  
JOHNSON C, 1986, MATH COMPUT, V46, P1, DOI 10.1090/S0025-5718-1986-0815828-4
[8]  
Lesaint P., 1974, Mathematical Aspects of Finite Elements in Partial Differential Equations, DOI DOI 10.1016/B978-0-12-208350-1.50008-X
[9]  
Oden J.T., 1992, ADAPTIVE MULTILEVEL, VAMD-157, P23
[10]   A PARALLEL ADAPTIVE STRATEGY FOR HP FINITE-ELEMENT COMPUTATIONS [J].
ODEN, JT ;
PATRA, A .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1995, 121 (1-4) :449-470