IMECH-IR  > 流固耦合系统力学重点实验室
PIMOL: The Finite Difference Method of Lines Based on the Precise Integration Method for an Arbitrary Irregular Domain
Xu YJ(徐永君)
Source PublicationACTA MECHANICA SOLIDA SINICA
2020-04-16
Pages13
ISSN0894-9166
Abstract

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.

KeywordPIMOL ODEs FDMOL PIM Poisson's equation problems Semi-analytical (discrete) Irregular domain
DOI10.1007/s10338-020-00165-0
Indexed BySCI ; EI ; CSCD
Language英语
WOS IDWOS:000526225600001
WOS KeywordSTRESS
WOS Research AreaMaterials Science ; Mechanics
WOS SubjectMaterials Science, Multidisciplinary ; Mechanics
ClassificationQ3
Ranking1
Citation statistics
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/81910
Collection流固耦合系统力学重点实验室
Corresponding AuthorXu YJ(徐永君)
AffiliationChinese Acad Sci, Key Lab Mech Fluid Solid Coupling Syst, Inst Mech, Beijing 100190, Peoples R China
Recommended Citation
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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