Quasi-interpolation operators based on a cubic spline and applications in SAMR simulations
文献类型：期刊论文
| 作者 | Ma, Libin1,2,3; Mo, Zeyao4; Xu, Xiaowen4 |
| 刊名 | APPLIED MATHEMATICS AND COMPUTATION
 |
| 出版日期 | 2010-12-15 |
| 卷号 | 217期号:8页码:3853-3868 |
| 关键词 | Quasi-interpolation operator Monotonicity-preserving property Conservation-preserving property SAMR simulation |
| 英文摘要 | In this paper, we consider the properties of monotonicity-preserving and global conservation- preserving for interpolation operators. These two properties play important role when interpolation operators used in many real numerical simulations. In order to attain these two aspects, we propose a one-dimensional (1D) new cubic spline, and extend it to two-dimensional (2D) using tensor-product operation. Based on discrete convolution, 1D and 2D quasi-interpolation operators are presented using these functions. Both analysis and numerical results show that the interpolation operators constructed in this paper are monotonic and conservative. In particular, we consider the numerical simulations of 2D Euler equations based on the technique of structured adaptive mesh refinement (SAMR). In SAMR simulations, effective interpolators are needed for information transportation between the coarser/finer meshes. We applied the 2D quasi-interpolation operator to this environment, and the simulation result show the efficiency and correctness of our interpolator. (C) 2010 Elsevier Inc. All rights reserved. |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000284600700017 |
| 源URL | [http://ir.qdio.ac.cn/handle/337002/32743]  |
| 专题 | 海洋研究所_海洋环流与波动重点实验室 |
| 作者单位 | 1.Chinese Acad Sci, Key Lab Ocean Circulat & Waves, Inst Oceanol, Qingdao 266071, Shandong, Peoples R China 2.Chinese Acad Sci, Grad Univ, Beijing 100049, Peoples R China 3.China Acad Engn Phys, Grad Sch, Beijing 100088, Peoples R China 4.Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China |
| 推荐引用方式 GB/T 7714 | Ma, Libin,Mo, Zeyao,Xu, Xiaowen. Quasi-interpolation operators based on a cubic spline and applications in SAMR simulations[J]. APPLIED MATHEMATICS AND COMPUTATION,2010,217(8):3853-3868. |
| APA | Ma, Libin,Mo, Zeyao,&Xu, Xiaowen.(2010).Quasi-interpolation operators based on a cubic spline and applications in SAMR simulations.APPLIED MATHEMATICS AND COMPUTATION,217(8),3853-3868. |
| MLA | Ma, Libin,et al."Quasi-interpolation operators based on a cubic spline and applications in SAMR simulations".APPLIED MATHEMATICS AND COMPUTATION 217.8(2010):3853-3868. |
入库方式： OAI收割
来源：海洋研究所
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。