73
Views
11
CrossRef citations to date
0
Altmetric
Original Articles

A posteriori error estimator and indicator in generalized finite differences. Application to improve the approximated solution of elliptic PDEs

, , &
Pages 359-370 | Received 17 Oct 2006, Accepted 10 Dec 2006, Published online: 22 Sep 2010
 

Abstract

In this paper we compare two different procedures of approximation of the a posteriori error for the GFD method; both procedures are residual based errors. The performance of the two different approximations of the error is illustrated by analysing different second order partial differential equations in 2D problems with known analytical solutions, using an irregular cloud of points. Also, in this paper an adaptive method for improving solutions using a posteriori error is shown.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.