期刊
JOURNAL OF COMPUTATIONAL SCIENCE
卷 70, 期 -, 页码 -出版社
ELSEVIER
DOI: 10.1016/j.jocs.2023.102036
关键词
Multipoint Meshless FDM; Computational scheme; Homogenization; Nonlinear analysis; Elastic-plastic problem
The paper focuses on the application of the multipoint meshless finite difference method to boundary value problems, particularly in nonlinear and multiscale analyses. It introduces the computational schemes and algorithms of the method and discusses the advantages and disadvantages. The multipoint method offers accurate and efficient solutions to engineering problems, and its generality allows for a two-stage computational strategy.
The paper focuses on the recently developed higher order extension of the MFDM - the multipoint meshless finite difference method and introduces the computational schemes and algorithms of the method application to the boundary value problems, especially to the nonlinear and multiscale analyses. There are two basic versions of the multipoint approach that allow accurate and effective solving of engineering problems. The main advantage of the multipoint general version is its generality - the basic relations of derivatives from the unknown function depend on the domain discretization only and are independent of the type of problem being solved. This feature allows to divide the multipoint computational strategy into two stages and is advantageous from the calculation efficiency point of view. The multipoint method algorithms, applied to such engineering problems as two-scale analysis of heterogeneous materials and nonlinear analysis, are developed and briefly presented. This manuscript is an extension of the paper Multipoint Meshless FD Schemes Applied to Nonlinear and Multiscale Analysis by I. Jaworska (2022) published in Lecture Notes in Computer Science [1]. In this extended version computational aspects of the algorithms are deepened, the subsections explaining specific features of the multipoint meshless approach application to the numerical homogenization and nonlinear analysis are included, and finally, the advantages and disadvantages of the method are discussed. The paper is illustrated with several examples (completed in the extended version) of the multipoint numerical analysis.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据