A stabilized finite element method for the Poisson-Nernst-Planck equations in three-dimensional ion channel simulations
文献类型：期刊论文
| 作者 | Wang, Qin1,2; Li, Hongliang3; Zhang, Linbo1,2; Lu, Benzhuo1,2 |
| 刊名 | APPLIED MATHEMATICS LETTERS
 |
| 出版日期 | 2021 |
| 卷号 | 111页码:9 |
| 关键词 | Poisson-Nernst-Planck Stabilized finite element method SUPG interior penalty |
| ISSN号 | 0893-9659 |
| DOI | 10.1016/j.aml.2020.106652 |
| 英文摘要 | The Poisson-Nernst-Planck (PNP) model characterizing the electro-diffusion process is widely used in ion channel simulations. The standard finite element method often fails to converge, due to complicated geometries, strong fixed charges and huge bias of electric potentials or ion concentrations. We propose a novel stabilized finite element method named SUPG-IP, which inherits the upwind characteristic of the streamline-upwind/Petrov-Galerkin (SUPG) method and the smoothing effect of the interior penalty method. Numerical experiments have demonstrated that the SUPG-IP method has much better performance in positivity preserving and robustness than the standard FE and SUPG methods. Especially, the benchmark simulation of the KcsA ion channel implies that the SUPG-IP method still converges successfully under an unprecedented range of membrane potentials and ion concentrations, while the SUPG method diverges. (C) 2020 Elsevier Ltd. All rights reserved. |
| 资助项目 | Science Challenge Project[TZ2016003] ; National Key Research and Development Program of China[2016YFB0201304] ; National Natural Science Foundation of China[21573274] ; National Natural Science Foundation of China[11771435] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000571465000009 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/52238]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Li, Hongliang; Lu, Benzhuo |
| 作者单位 | 1.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, NCMIS, LSEC, Beijing 100190, Peoples R China 3.Sichuan Normal Univ, Dept Math, Chengdu 610066, Peoples R China |
| 推荐引用方式 GB/T 7714 | Wang, Qin,Li, Hongliang,Zhang, Linbo,et al. A stabilized finite element method for the Poisson-Nernst-Planck equations in three-dimensional ion channel simulations[J]. APPLIED MATHEMATICS LETTERS,2021,111:9. |
| APA | Wang, Qin,Li, Hongliang,Zhang, Linbo,&Lu, Benzhuo.(2021).A stabilized finite element method for the Poisson-Nernst-Planck equations in three-dimensional ion channel simulations.APPLIED MATHEMATICS LETTERS,111,9. |
| MLA | Wang, Qin,et al."A stabilized finite element method for the Poisson-Nernst-Planck equations in three-dimensional ion channel simulations".APPLIED MATHEMATICS LETTERS 111(2021):9. |
入库方式： OAI收割
来源：数学与系统科学研究院
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