The EQuivalent Polynomials library, EQP, herein provided is a powerful tool for the numerical integration, with classical quadrature rules (e.g. Gauss–Legendre), of a function given by the product of an arbitrary polynomial times a Heaviside step function. The library can handle a multiplicity of shapes for the integration domain in one, two and three dimensions. Originally developed by Ventura Ventura,2006) to overcome the long-standing problem of integrating discontinuous functions in the context of the eXtended Finite Element Method, EQP library has been recently generalized to meet the needs of very different fields, spanning from computational mechanics, to computer graphics, evaluation of geometric region (mass) properties and computer simulation in general.
EQP - A 2D/3D library for integration of polynomials times step function / Mariggiò, Gregorio; Fichera, Sebastiano; Corrado, Mauro; Ventura, Giulio. - In: SOFTWAREX. - ISSN 2352-7110. - ELETTRONICO. - 12(2020), pp. 1-6.
Titolo: | EQP - A 2D/3D library for integration of polynomials times step function |
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Data di pubblicazione: | 2020 |
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Digital Object Identifier (DOI): | http://dx.doi.org/10.1016/j.softx.2020.100636 |
Appare nelle tipologie: | 1.1 Articolo in rivista |
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http://hdl.handle.net/11583/2862312