Bernstein polynomials in element-free Galerkin method

López Díez, Jesús and Valencia Rey, Óscar Francisco and Gómez-Escalonilla Martín, Francisco Javier and Garijo Verdejo, Daniel (2011). Bernstein polynomials in element-free Galerkin method. "Proceedings of the Institution of Mechanical Engineers, Part C : Journal od Mechanical Engineering Science", v. 225 (n. C8); pp. 1808-1815. ISSN 0954-4062. https://doi.org/10.1177/0954406211401677.

Description

Title: Bernstein polynomials in element-free Galerkin method
Author/s:
  • López Díez, Jesús
  • Valencia Rey, Óscar Francisco
  • Gómez-Escalonilla Martín, Francisco Javier
  • Garijo Verdejo, Daniel
Item Type: Article
Título de Revista/Publicación: Proceedings of the Institution of Mechanical Engineers, Part C : Journal od Mechanical Engineering Science
Date: 2011
ISSN: 0954-4062
Volume: 225
Subjects:
Faculty: E.T.S.I. Aeronáuticos (UPM)
Department: Vehículos Aeroespaciales [hasta 2014]
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

In the recent decades, meshless methods (MMs), like the element-free Galerkin method (EFGM), have been widely studied and interesting results have been reached when solving partial differential equations. However, such solutions show a problem around boundary conditions, where the accuracy is not adequately achieved. This is caused by the use of moving least squares or residual kernel particle method methods to obtain the shape functions needed in MM, since such methods are good enough in the inner of the integration domains, but not so accurate in boundaries. This way, Bernstein curves, which are a partition of unity themselves,can solve this problem with the same accuracy in the inner area of the domain and at their boundaries.

More information

Item ID: 15358
DC Identifier: http://oa.upm.es/15358/
OAI Identifier: oai:oa.upm.es:15358
DOI: 10.1177/0954406211401677
Official URL: http://pic.sagepub.com/content/225/8/1808
Deposited by: Memoria Investigacion
Deposited on: 28 Aug 2013 09:51
Last Modified: 21 Apr 2016 15:24
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