4.6 Article

Using the digamma function for basis functions in mesh-free computational methods

期刊

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
卷 131, 期 -, 页码 218-227

出版社

ELSEVIER SCI LTD
DOI: 10.1016/j.enganabound.2021.06.004

关键词

Complex variable boundary element method (CVBEM); Basis functions; Mesh-free methods; Applied complex variables; Potential flow

资金

  1. Hromadka Associates

向作者/读者索取更多资源

This paper discusses the technical aspects of using the digamma function as a basis function for the CVBEM, and demonstrates its utility by applying it to a mixed boundary value problem of the Laplace type.
We examine the utility of a new family of basis functions for use with the Complex Variable Boundary Element Method (CVBEM) and other mesh-free numerical methods for solving partial differential equations. The family of polygamma functions have found use in mathematics since as early as 1730 when James Stirling related the digamma function to the factorial function [1]. Now, we propose using the digamma function, as well as new variants of the digamma function, as basis functions for the CVBEM. This paper discusses technical aspects associated with using the digamma function as a CVBEM basis function. Then, we demonstrate the utility of the proposed basis function by applying it to a mixed boundary value problem of the Laplace type.

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。

评论

主要评分

4.6
评分不足

次要评分

新颖性
-
重要性
-
科学严谨性
-
评价这篇论文

推荐

暂无数据
暂无数据