Characteristic Galerkin schemes for scalar conservation laws in two and three space dimensions
文献类型：期刊论文
| 作者 | Suli, E; Lin, PX; Morton, KW |
| 刊名 | SIAM JOURNAL ON NUMERICAL ANALYSIS
 |
| 出版日期 | 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 |
| WOS记录号 | WOS:A1997WT65200018 |
| 出版者 | SIAM PUBLICATIONS |
| 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. |
入库方式： OAI收割
来源：武汉物理与数学研究所
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