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 |
| ISSN号 | 0096-3003 |
| DOI | 10.1016/j.amc.2010.09.045 |
| 通讯作者 | Ma, libin(malibin109@gmail.com) |
| 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. |
| WOS关键词 | ADAPTIVE MESH REFINEMENT ; TENSION |
| WOS研究方向 | Mathematics |
| WOS类目 | Mathematics, Applied |
| 语种 | 英语 |
| WOS记录号 | WOS:000284600700017 |
| 出版者 | ELSEVIER SCIENCE INC |
| URI标识 | http://www.irgrid.ac.cn/handle/1471x/2408380 |
| 专题 | 中国科学院大学 |
| 通讯作者 | Ma, Libin |
| 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. |
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来源：中国科学院大学
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