@Article{NMTMA-1-29,
author = {Hugh R. MacMillan, Max D. Gunzburger and John V. Burkardt},
title = {Meshfree First-Order System Least Squares},
journal = {Numerical Mathematics: Theory, Methods and Applications},
year = {2008},
volume = {1},
number = {1},
pages = {29--43},
abstract = {<p style="text-align: justify;">We prove convergence for a meshfree first-order system least squares (FOSLS)
partition of unity finite element method (PUFEM). Essentially, by virtue of the partition
of unity, local approximation gives rise to global approximation in $\mathrm{H}(div)\cap\mathrm{H}(curl)$.
The FOSLS formulation yields local a posteriori error estimates to guide the judicious
allotment of new degrees of freedom to enrich the initial point set in a meshfree discretization. Preliminary numerical results are provided and remaining challenges are
discussed.<br/></p>},
issn = {2079-7338},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/nmtma/6040.html}
}