Anisotropic Meshes and Stabilization Parameter Design of Linear SUPG Method for 2D Convection-Dominated Convection-Diffusion Equations
文献类型：期刊论文
| 作者 | Di, Yana1,2 ; Xie, Hehu1,2; Yin, Xiaobo3
|
| 刊名 | JOURNAL OF SCIENTIFIC COMPUTING
 |
| 出版日期 | 2018-07-01 |
| 卷号 | 76期号:1页码:48-68 |
| 关键词 | Convection-diffusion equation Stabilization parameter SUPG Anisotropic mesh |
| ISSN号 | 0885-7474 |
| DOI | 10.1007/s10915-017-0610-9 |
| 英文摘要 | We propose a numerical strategy to generate a sequence of anisotropic meshes and select appropriate stabilization parameters simultaneously for linear SUPG method solving two dimensional convection-dominated convection-diffusion equations. Since the discretization error in a suitable norm can be bounded by the sum of interpolation error and its variants in different norms, we replace them by some terms which contain the Hessian matrix of the true solution, convective field, and the geometric properties such as directed edges and the area of triangles. Based on this observation, the shape, size and equidistribution requirements are used to derive corresponding metric tensor and stabilization parameters. Numerical results are provided to validate the stability and efficiency of the proposed numerical strategy. |
| 资助项目 | National Natural Science Foundation of China[91630208] ; National Natural Science Foundation of China[11771437] ; National Natural Science Foundation of China[91730302] ; National Natural Science Foundation of China[11771434] ; National Natural Science Foundation of China[91330202] ; National Natural Science Foundation of China[11371026] ; National Natural Science Foundation of China[11001259] ; National Natural Science Foundation of China[11031006] ; National Natural Science Foundation of China[2011CB309703] ; National Natural Science Foundation of China[11671165] ; National Natural Science Foundation of China[91630201] ; Science Challenge Project[TZ2016002] ; Program for Changjiang Scholars and Innovative Research Team in University[IRT13066] ; self-determined research funds of Central China Normal University[CCNU16A02039] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000434711800003 |
| 出版者 | SPRINGER/PLENUM PUBLISHERS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/30534]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Yin, Xiaobo |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 3.Cent China Normal Univ, Sch Math & Stat, Hubei Key Lab Math Sci, Wuhan 430079, Hubei, Peoples R China |
| 推荐引用方式 GB/T 7714 | Di, Yana,Xie, Hehu,Yin, Xiaobo. Anisotropic Meshes and Stabilization Parameter Design of Linear SUPG Method for 2D Convection-Dominated Convection-Diffusion Equations[J]. JOURNAL OF SCIENTIFIC COMPUTING,2018,76(1):48-68. |
| APA | Di, Yana,Xie, Hehu,&Yin, Xiaobo.(2018).Anisotropic Meshes and Stabilization Parameter Design of Linear SUPG Method for 2D Convection-Dominated Convection-Diffusion Equations.JOURNAL OF SCIENTIFIC COMPUTING,76(1),48-68. |
| MLA | Di, Yana,et al."Anisotropic Meshes and Stabilization Parameter Design of Linear SUPG Method for 2D Convection-Dominated Convection-Diffusion Equations".JOURNAL OF SCIENTIFIC COMPUTING 76.1(2018):48-68. |
入库方式： OAI收割
来源：数学与系统科学研究院
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