A DECOUPLING TWO-GRID METHOD FOR THE STEADY-STATE POISSON-NERNST-PLANCK EQUATIONS
文献类型：期刊论文
| 作者 | Yang, Ying1; Lu, Benzhuo3; Xie, Yan2 |
| 刊名 | JOURNAL OF COMPUTATIONAL MATHEMATICS
 |
| 出版日期 | 2019 |
| 卷号 | 37期号:4页码:556-578 |
| 关键词 | Poisson-Nernst-Planck equations Two-grid finite element method Decoupling method Error analysis Gummel iteration |
| ISSN号 | 0254-9409 |
| DOI | 10.4208/jcm.1904-m2018-0181 |
| 英文摘要 | Poisson-Nernst-Planck equations are widely used to describe the electrodiffusion of ions in a solvated biomolecular system. Two kinds of two-grid finite element algorithms are proposed to decouple the steady-state Poisson-Nernst-Planck equations by coarse grid finite element approximations. Both theoretical analysis and numerical experiments show the efficiency and effectiveness of the two-grid algorithms for solving Poisson-Nernst-Planck equations. |
| 资助项目 | Science Challenge Program[TZ2016003] ; National Key Research and Development Program of China[2016YFB0201304] ; China NSF[NSFC 11561016] ; China NSF[NSFC 11661027] ; China NSF[NSFC 11561015] ; China NSF[NSFC 21573274] ; China NSF[11771435] ; Guangxi Colleges and Universities Key Laboratory of Data Analysis and Computation open project fund ; Hunan Key Laboratory for Computation and Simulation in Science and Engineering, Xiangtan University |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000524136400008 |
| 出版者 | GLOBAL SCIENCE PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/51172]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Yang, Ying |
| 作者单位 | 1.Guilin Univ Elect Technol, Sch Math & Comp Sci, Guangxi Coll & Univ Key Lab Data Anal & Computat, Guilin 541004, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, LSEC, Beijing 100190, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Natl Ctr Math & Interdisciplinary Sci,LSEC, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Yang, Ying,Lu, Benzhuo,Xie, Yan. A DECOUPLING TWO-GRID METHOD FOR THE STEADY-STATE POISSON-NERNST-PLANCK EQUATIONS[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2019,37(4):556-578. |
| APA | Yang, Ying,Lu, Benzhuo,&Xie, Yan.(2019).A DECOUPLING TWO-GRID METHOD FOR THE STEADY-STATE POISSON-NERNST-PLANCK EQUATIONS.JOURNAL OF COMPUTATIONAL MATHEMATICS,37(4),556-578. |
| MLA | Yang, Ying,et al."A DECOUPLING TWO-GRID METHOD FOR THE STEADY-STATE POISSON-NERNST-PLANCK EQUATIONS".JOURNAL OF COMPUTATIONAL MATHEMATICS 37.4(2019):556-578. |
入库方式： OAI收割
来源：数学与系统科学研究院
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