Radial function collocation solution of partial differential equations in irregular domains
type: Item
instance of: scholarly article
title: Radial function collocation solution of partial differential equations in irregular domains
zbMATH Open document ID: 1184.65109
DOI: 10.1504/IJCSM.2007.013762
author: B. E. Eshmatov
published in: International Journal of Computing Science and Mathematics
publication date: 2010-04-22T00:00:00Z
review text: Summary: We consider a collocation method using radial functions for the solution of partial differential equations in irregular domains. We use a regularised least squares approach to solve the potentially ill-conditioned problems that may arise. This meshless method is easy to implement and eliminates most of the problems that mesh oriented methods have with irregular boundaries and complicated domains. When solving, also, for the position and shape parameters of the radial functions we obtain an adaptive, albeit non-linear, method. In this case, the resulting problem is a separable non-linear least squares one that can be efficiently solved by the Variable Projection method.
Mathematics Subject Classification ID: 65N35
zbMATH DE Number: 5697002
zbMATH Keywords: elliptic problems
zbMATH Keywords: collocation
zbMATH Keywords: meshless
zbMATH Keywords: TSVD
zbMATH Keywords: variable projections
zbMATH Keywords: radial functions
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 5697002