Analyses on Poisson's Problem by Using a New Collocation Method

Journal of Computational Science and Technology

Yong-Ming GUO¹  Shunpei KAMITANI¹  Koki ISOZAKI¹ 

[1]Graduate School of Science and Engineering, Kagoshima University

关键词: Meshless Method;    Collocation Method;    Moving Least-Square Approximation;    Positivity Conditions;    Over-Range Points;   

DOI  :  10.1299/jcst.7.363

学科分类：地球科学(综合)

来源: Japan Academy

【 摘 要 】

References(14)In this paper, the three boundary value problems on Poisson's problem are analyzedby using a new meshless method that is called the over-range collocation method(ORCM). By introducing some collocation points, which are located at outside ofdomain of the analyzed body, unsatisfactory issue of the positivity conditions ofboundary points can be avoided. Convergence studies in the numerical examplesshow that the ORCM possesses good convergence for both the unknown variablesand their derivatives. Quite accurate numerical results calculated by both regularnodal models and irregular nodal models have been obtained.

【 授权许可】

Unknown