KMS Of Academy of mathematics and systems sciences, CAS
A SIMPLE ADAPTIVE-GRID METHOD IN 2 DIMENSIONS | |
HUANG, WZ; SLOAN, DM | |
1994-07-01 | |
发表期刊 | SIAM JOURNAL ON SCIENTIFIC COMPUTING |
ISSN | 1064-8275 |
卷号 | 15期号:4页码:776-797 |
摘要 | This paper gives an interpretation of the concept of equidistribution in the context of adaptive grid generation for multidimensional problems. It is shown that the equidistribution principle cannot be satisfied throughout the domain of the problem and, based on this recognition, a local equidistribution principle is developed. A discrete formulation is described for grid generation in two space dimensions and a smoothing mechanism is presented for improving mesh quality. The adaptive grid method that is constructed contains three grid-quality parameters. Numerical examples illustrate adaptive grid generation using a prescribed monitor function and grid generation for numerical solution of partial differential equations. Results show that the method produces high quality grids and that it is fairly insensitive to the choice of parameters. |
关键词 | ADAPTIVE GRID EQUIDISTRIBUTION |
语种 | 英语 |
WOS研究方向 | Mathematics |
WOS类目 | Mathematics, Applied |
WOS记录号 | WOS:A1994NT91500002 |
出版者 | SIAM PUBLICATIONS |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/28284 |
专题 | 中国科学院数学与系统科学研究院 |
通讯作者 | HUANG, WZ |
作者单位 | CHINESE ACAD SCI,INST APPL MATH,BEIJING 100080,PEOPLES R CHINA |
推荐引用方式 GB/T 7714 | HUANG, WZ,SLOAN, DM. A SIMPLE ADAPTIVE-GRID METHOD IN 2 DIMENSIONS[J]. SIAM JOURNAL ON SCIENTIFIC COMPUTING,1994,15(4):776-797. |
APA | HUANG, WZ,&SLOAN, DM.(1994).A SIMPLE ADAPTIVE-GRID METHOD IN 2 DIMENSIONS.SIAM JOURNAL ON SCIENTIFIC COMPUTING,15(4),776-797. |
MLA | HUANG, WZ,et al."A SIMPLE ADAPTIVE-GRID METHOD IN 2 DIMENSIONS".SIAM JOURNAL ON SCIENTIFIC COMPUTING 15.4(1994):776-797. |
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