Moving mesh discontinuous Galerkin method for hyperbolic conservation laws
文献类型：期刊论文
| 作者 | Li, R; Tang, T |
| 刊名 | JOURNAL OF SCIENTIFIC COMPUTING
 |
| 出版日期 | 2006-06-01 |
| 卷号 | 27期号:1-3页码:347-363 |
| 关键词 | moving mesh method discontinuous Galerkin method nonlinear conservation laws monitor function |
| ISSN号 | 0885-7474 |
| DOI | 10.1007/s10915-005-9045-9 |
| 英文摘要 | In this paper, a moving mesh discontinuous Galerkin (DG) method is developed to solve the nonlinear conservation laws. In the mesh adaptation part, two issues have received much attention. One is about the construction of the monitor function which is used to guide the mesh redistribution. In this study, a heuristic posteriori error estimator is used in constructing the monitor function. The second issue is concerned with the solution interpolation which is used to interpolates the numerical solution from the old mesh to the updated mesh. This is done by using a scheme that mimics the DG method for linear conservation laws. Appropriate limiters are used on seriously distorted meshes generated by the moving mesh approach to suppress the numerical oscillations. Numerical results are provided to show the efficiency of the proposed moving mesh DG method. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000238172600024 |
| 出版者 | SPRINGER/PLENUM PUBLISHERS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/3099]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Li, R |
| 作者单位 | 1.Peking Univ, LMAM, Beijing 100871, Peoples R China 2.Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China 3.Hong Kong Baptist Univ, Dept Math, Hong Kong, Peoples R China 4.Chinese Acad Sci, Inst Computat Math, Beijing, Peoples R China |
| 推荐引用方式 GB/T 7714 | Li, R,Tang, T. Moving mesh discontinuous Galerkin method for hyperbolic conservation laws[J]. JOURNAL OF SCIENTIFIC COMPUTING,2006,27(1-3):347-363. |
| APA | Li, R,&Tang, T.(2006).Moving mesh discontinuous Galerkin method for hyperbolic conservation laws.JOURNAL OF SCIENTIFIC COMPUTING,27(1-3),347-363. |
| MLA | Li, R,et al."Moving mesh discontinuous Galerkin method for hyperbolic conservation laws".JOURNAL OF SCIENTIFIC COMPUTING 27.1-3(2006):347-363. |
入库方式： OAI收割
来源：数学与系统科学研究院
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