Characteristic Galerkin schemes for scalar conservation laws in two and three space dimensions

	Characteristic Galerkin schemes for scalar conservation laws in two and three space dimensions
	Suli, E; Lin, PX; Morton, KW
刊名	SIAM JOURNAL ON NUMERICAL ANALYSIS
	1997-04-01
卷号	34 期号:2 页码:779-796
关键词	Characteristic Galerkin Method Riemann-stieltjes Integral Transport Collapse Operator Multidimensional Conservation Laws Corner Effects
ISSN号	0036-1429
文献子类	Article
英文摘要	In this paper we are concerned with a finite element method for multidimensional scalar conservation laws: we describe a general formulation of the Euler characteristic Galerkin (EGG) scheme, motivated by key features of the one-dimensional ECG scheme. The method is defined by projecting the transport collapse operator onto a finite element space spanned by piecewise constant basis functions. The ECG scheme is TVD, monotone, maximum norm nonincreasing and unconditionally stable in the L(1)-norm. To the best of our knowledge, there is no other method which has all these properties. However, with piecewise constant basis functions, the ECG scheme is at most first-order accurate; greater accuracy can be obtained through a recovery procedure. Unlike conventional dimension-by-dimension methods, multidimensional ECG schemes contain important terms which describe corner effects. Nonuniform meshes and large time steps can be used with this class of schemes.
WOS研究方向	Mathematics
语种	英语
出版者	SIAM PUBLICATIONS
WOS记录号	WOS:A1997WT65200018
内容类型	期刊论文
源URL	[http://ir.wipm.ac.cn/handle/112942/12679]
专题	中国科学院武汉物理与数学研究所
通讯作者	Lin, PX
作者单位	CHINESE ACAD SCI,INST MATH SCI,PHYS MATH LAB,WUHAN 430071,PEOPLES R CHINA
推荐引用方式 GB/T 7714	Suli, E,Lin, PX,Morton, KW. Characteristic Galerkin schemes for scalar conservation laws in two and three space dimensions[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS,1997,34(2):779-796.
APA	Suli, E,Lin, PX,&Morton, KW.(1997).Characteristic Galerkin schemes for scalar conservation laws in two and three space dimensions.SIAM JOURNAL ON NUMERICAL ANALYSIS,34(2),779-796.
MLA	Suli, E,et al."Characteristic Galerkin schemes for scalar conservation laws in two and three space dimensions".SIAM JOURNAL ON NUMERICAL ANALYSIS 34.2(1997):779-796.