A Multiscale RBF Collocation Method for the Numerical Solution of Partial Differential Equations

A Multiscale RBF Collocation Method for the Numerical Solution of Partial Differential Equations

In this paper, we derive and discuss the hierarchical radial basis functions method for the approximation to Sobolev functions and the collocation to well-posed linear partial differential equations. Similar to multilevel splitting of finite element spaces, the hierarchical radial basis functions ar...

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Bibliographic Details
Main Authors: Zhiyong Liu, Qiuyan Xu
Format: Article
Language:English
Published: MDPI AG 2019-10-01
Series:Mathematics
Subjects:
kansa method
sobolev spaces
native spaces
collocation method
radial basis functions
Online Access:https://www.mdpi.com/2227-7390/7/10/964

Internet

https://www.mdpi.com/2227-7390/7/10/964

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