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dc.contributor.authorMillán, Raúl Daniel
dc.contributor.authorRosolen, Adrián Martín
dc.contributor.authorArroyo Balaguer, Marino
dc.description.abstractA 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.extent9 p.
dc.relation.ispartofNMASE 07 (6th:2007:Vall de Núria)
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Spain
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Equacions en derivades parcials
dc.subject.otherMeshfree methods
dc.subject.otherGauss–Hermite cubature
dc.subject.otherNumerical integration
dc.titleNumerical integration by using local-node gauss-hermite cubature
dc.typeConference report
dc.subject.lemacAproximació, Teoria de l'
dc.subject.amsClassificació AMS::65 Numerical analysis::65D Numerical approximation and computational geometry
dc.rights.accessOpen Access

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Attribution-NonCommercial-NoDerivs 3.0 Spain
Except where otherwise noted, content on this work is licensed under a Creative Commons license : Attribution-NonCommercial-NoDerivs 3.0 Spain