An adaptive mesh redistribution method for nonlinear Hamilton-Jacobi equations in two- and three-dimensions
文献类型：期刊论文
| 作者 | Tang, HZ; Tang, T; Zhang, PW |
| 刊名 | JOURNAL OF COMPUTATIONAL PHYSICS
 |
| 出版日期 | 2003-07-01 |
| 卷号 | 188期号:2页码:543-572 |
| 关键词 | moving adaptive grid method Hamilton-Jacobi equations level set equations finite difference method |
| ISSN号 | 0021-9991 |
| DOI | 10.1016/S0021-9991(03)00192-X |
| 英文摘要 | This paper presents an adaptive mesh redistribution (AMR) method for solving the nonlinear Hamilton Jacobi equations and level-set equations in two- and three-dimensions. Our approach includes two key ingredients: a nonconservative second-order interpolation on the updated adaptive grids, and a class of monitor functions (or indicators) suitable for the Hamilton-Jacobi problems. The proposed adaptive mesh methods transform a uniform mesh in the logical domain to cluster grid points at the regions of the physical domain where the solution or its derivative is singular or nearly singular. Moreover, the formal second-order rate of convergence is preserved for the proposed AMR methods. Extensive numerical experiments are performed to demonstrate the efficiency and robustness of the proposed adaptive mesh algorithm. (C) 2003 Elsevier Science B.V. All rights reserved. |
| WOS研究方向 | Computer Science ; Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000183822900010 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/18782]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Tang, T |
| 作者单位 | 1.Hong Kong Baptist Univ, Dept Math, Kowloon, Hong Kong, Peoples R China 2.Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China 3.Chinese Acad Sci, Inst Computat Math, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Tang, HZ,Tang, T,Zhang, PW. An adaptive mesh redistribution method for nonlinear Hamilton-Jacobi equations in two- and three-dimensions[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2003,188(2):543-572. |
| APA | Tang, HZ,Tang, T,&Zhang, PW.(2003).An adaptive mesh redistribution method for nonlinear Hamilton-Jacobi equations in two- and three-dimensions.JOURNAL OF COMPUTATIONAL PHYSICS,188(2),543-572. |
| MLA | Tang, HZ,et al."An adaptive mesh redistribution method for nonlinear Hamilton-Jacobi equations in two- and three-dimensions".JOURNAL OF COMPUTATIONAL PHYSICS 188.2(2003):543-572. |
入库方式： OAI收割
来源：数学与系统科学研究院
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