A posteriori error estimates with point sources in fractional Sobolev spaces

Autor:	Gaspoz, Fernando D., Morin, Pedro, Veeser, Andreas
Rok vydání:	2015
Předmět:	Mathematics - Numerical Analysis 65N12 65N15 65N30
Druh dokumentu:	Working Paper
Popis:	We consider Poisson's equation with a finite number of weighted Dirac masses as a source term, together with its discretization by means of conforming finite elements. For the error in fractional Sobolev spaces, we propose residual-type a posteriori estimators with a specifically tailored oscillation and show that, on two-dimensional polygonal domains, they are reliable and locally efficient. In numerical tests, their use in an adaptive algorithm leads to optimal error decay rates.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1507.08247 Zobrazit plný text záznamu View this record from Arxiv