Numerical integration by using local-node gauss-hermite cubature

Millán, Raúl Daniel; Rosolen, Adrián Martín; Arroyo Balaguer, Marino

dc.contributor.author	Millán, Raúl Daniel
dc.contributor.author	Rosolen, Adrián Martín
dc.contributor.author	Arroyo Balaguer, Marino
dc.date.accessioned	2009-06-08T10:53:59Z
dc.date.available	2009-06-08T10:53:59Z
dc.date.issued	2009-06-08T10:53:59Z
dc.identifier.uri	http://hdl.handle.net/2099/7818
dc.description.abstract	A local–node numerical integration scheme for meshless methods is presented in this work. The distinguishing characteristic of the introduced scheme is that not support mesh or grid to perform numerical integration is needed, besides the fact that gauss cubature points for each node are generated in a properly fashion and that the extension of the methodology to high dimensions is straightforward. The numerical integration is computed with the Gauss–Hermite cubature formulas, and the partition of unity is employed to introduce the Gaussian weight in a natural way. Selected numerical tests in two-dimensions are used to illustrate the validity of the proposed methodology. Although the obtained results are encouraging, the behavior of the integration error is not still well understood when the dimensionless parameter which control the width of the Gaussian kernel varies.
dc.format.extent	9 p.
dc.language.iso	eng
dc.relation.ispartof	NMASE 07 (6th:2007:Vall de Núria)
dc.rights	Attribution-NonCommercial-NoDerivs 3.0 Spain
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subject	Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Equacions en derivades parcials
dc.subject.lcsh	Geometry
dc.subject.other	Meshfree methods
dc.subject.other	Gauss–Hermite cubature
dc.subject.other	Numerical integration
dc.title	Numerical integration by using local-node gauss-hermite cubature
dc.type	Conference report
dc.subject.lemac	Aproximació, Teoria de l'
dc.subject.ams	Classificació AMS::65 Numerical analysis::65D Numerical approximation and computational geometry
dc.rights.access	Open Access