Adaptive meshless refinement schemes for RBF-PUM collocation
Numerical Analysis
2018-11-13 v1
Abstract
In this paper we present an adaptive discretization technique for solving elliptic partial differential equations via a collocation radial basis function partition of unity method. In particular, we propose a new adaptive scheme based on the construction of an error indicator and a refinement algorithm, which used together turn out to be ad-hoc strategies within this framework. The performance of the adaptive meshless refinement scheme is assessed by numerical tests.
Cite
@article{arxiv.1811.04710,
title = {Adaptive meshless refinement schemes for RBF-PUM collocation},
author = {R. Cavoretto and A. De Rossi},
journal= {arXiv preprint arXiv:1811.04710},
year = {2018}
}