An elliptic partial differential equation with a singular forcing term, describing a steady state flow determined by a pulse-like extraction at a constant volumetric rate, is approximated by a radial basis function approach which takes advantage of decomposing the original domain. The discretization error of such scheme is numerically estimated and we also face up to instability issues. This produces an effective tool for real applications, as confirmed by comparisons with classical grid-based approaches
A stable meshfree PDE solver for source-type flows in porous media / Campagna, R.; Cuomo, S.; De Marchi, S.; Perracchione, E.; Severino, G.. - In: APPLIED NUMERICAL MATHEMATICS. - ISSN 0168-9274. - 149:(2020), pp. 30-42. [10.1016/j.apnum.2019.08.015]
A stable meshfree PDE solver for source-type flows in porous media
Campagna R.
;Cuomo S.
;Severino G.
2020
Abstract
An elliptic partial differential equation with a singular forcing term, describing a steady state flow determined by a pulse-like extraction at a constant volumetric rate, is approximated by a radial basis function approach which takes advantage of decomposing the original domain. The discretization error of such scheme is numerically estimated and we also face up to instability issues. This produces an effective tool for real applications, as confirmed by comparisons with classical grid-based approachesI documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
