A posteriori error estimator and indicator in Generalized Finite Difference. Aplication to improve the approximated solution of elliptic dpes.
2008 - J.J. Benito, F. Ureña, L. Gavete, B. Alonso.
International Journal of Computer Mathematics 85, 359-370 (2008).
Ureña Prieto, Francisco.
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.