Treffer: Numerical integration by using local-node gauss-hermite cubature

Title:
Numerical integration by using local-node gauss-hermite cubature
Authors:
Millán, Raúl Daniel, Rosolen, Adrián Martín, Arroyo Balaguer, Marino
Publication Year:
2009
Collection:
Universitat Politècnica de Catalunya, BarcelonaTech: UPCommons - Global access to UPC knowledge
Subject Terms:
Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Equacions en derivades parcials, Geometry, Meshfree methods, Gauss–Hermite cubature, Numerical integration, Aproximació, Teoria de l', Classificació AMS::65 Numerical analysis::65D Numerical approximation and computational geometry
Document Type:
Konferenz conference object
File Description:
9 p.; application/pdf
Language:
English
Relation:
NMASE 07 (6th:2007:Vall de Núria); http://hdl.handle.net/2099/7818
Availability:
http://hdl.handle.net/2099/7818
Rights:
Attribution-NonCommercial-NoDerivs 3.0 Spain ; http://creativecommons.org/licenses/by-nc-nd/3.0/es/ ; Open Access
Accession Number:
edsbas.2A558A5F
Database:
BASE

Weitere Informationen

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.