Meshfree First-Order System Least Squares
Year: 2008
Numerical Mathematics: Theory, Methods and Applications, Vol. 1 (2008), Iss. 1 : pp. 29–43
Abstract
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 H(div)∩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.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2008-NMTMA-6040
Numerical Mathematics: Theory, Methods and Applications, Vol. 1 (2008), Iss. 1 : pp. 29–43
Published online: 2008-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 15
Keywords: Meshfree methods first-order system least squares adaptive finite elements.