PIMOL: The Finite Difference Method of Lines Based on the Precise Integration Method for an Arbitrary Irregular Domain | |
Xu YJ(徐永君) | |
发表期刊 | ACTA MECHANICA SOLIDA SINICA |
2020-04-16 | |
页码 | 13 |
ISSN | 0894-9166 |
摘要 | The aim of this paper is to introduce a new semi-analytical method named precise integration method of lines (PIMOL), which is developed and used to solve the ordinary differential equation (ODE) systems based on the finite difference method of lines and the precise integration method. The irregular domain problem is mainly discussed in this paper. Three classical examples of Poisson's equation problems are given, including one regular and two irregular domain examples. The PIMOL reduces a semi-discrete ODE problem to a linear algebraic matrix equation and does not require domain mapping for treating the irregular domain problem. Numerical results show that the PIMOL is a powerful method. |
关键词 | PIMOL ODEs FDMOL PIM Poisson's equation problems Semi-analytical (discrete) Irregular domain |
DOI | 10.1007/s10338-020-00165-0 |
收录类别 | SCI ; EI ; CSCD |
语种 | 英语 |
WOS记录号 | WOS:000526225600001 |
关键词[WOS] | STRESS |
WOS研究方向 | Materials Science ; Mechanics |
WOS类目 | Materials Science, Multidisciplinary ; Mechanics |
论文分区 | Q3 |
力学所作者排名 | 1 |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://dspace.imech.ac.cn/handle/311007/81910 |
专题 | 流固耦合系统力学重点实验室 |
通讯作者 | Xu YJ(徐永君) |
作者单位 | Chinese Acad Sci, Key Lab Mech Fluid Solid Coupling Syst, Inst Mech, Beijing 100190, Peoples R China |
推荐引用方式 GB/T 7714 | Xu YJ. PIMOL: The Finite Difference Method of Lines Based on the Precise Integration Method for an Arbitrary Irregular Domain[J]. ACTA MECHANICA SOLIDA SINICA,2020:13. |
APA | Xu YJ.(2020).PIMOL: The Finite Difference Method of Lines Based on the Precise Integration Method for an Arbitrary Irregular Domain.ACTA MECHANICA SOLIDA SINICA,13. |
MLA | Xu YJ."PIMOL: The Finite Difference Method of Lines Based on the Precise Integration Method for an Arbitrary Irregular Domain".ACTA MECHANICA SOLIDA SINICA (2020):13. |
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