期刊
SIAM JOURNAL ON SCIENTIFIC COMPUTING
卷 43, 期 1, 页码 A242-A257出版社
SIAM PUBLICATIONS
DOI: 10.1137/20M1337016
关键词
node generation; variable density points; mesh-free PDE solvers
Research shows that mesh-free solvers perform best on scattered quasi-uniform nodes, and computational efficiency can be improved by using nodes with greater spacing in regions of less activity. The advancing front method presented in the study generates variable density nodes in 2-D and 3-D with the ability to be generalized to higher dimensions, with a time complexity of O(N) for generating a node set of size N in 2-D and 3-D.
Mesh-free solvers for partial differential equations perform best on scattered quasi-uniform nodes. Computational efficiency can be improved by using nodes with greater spacing in regions of less activity. However, there is no ideal way to generate nodes for these solvers. We present an advancing front type method to generate variable density nodes in two dimensions (2-D) and three dimensions (3-D) with clear generalization to higher dimensions. The exhibited cost of generating a node set of size N in 2-D and 3-D with the present method is O(N).
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