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Bernstein polynomials in element-free Galerkin method
Cita
López Díez, Jesús, Valencia Rey, Óscar Francisco, Gómez-Escalonilla Martín, Francisco Javier and Garijo Verdejo, Daniel 
ORCID: https://orcid.org/0000-0003-0454-7145
(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.
ORCID: https://orcid.org/0000-0003-0454-7145
(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.
Descripción
| Título: | Bernstein polynomials in element-free Galerkin method |
|---|---|
| Autor/es: |
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| Tipo de Documento: | Artículo |
| Título de Revista/Publicación: | Proceedings of the Institution of Mechanical Engineers, Part C : Journal od Mechanical Engineering Science |
| Fecha: | 2011 |
| ISSN: | 0954-4062 |
| Volumen: | 225 |
| Número: | C8 |
| Materias: | |
| ODS: | |
| Escuela: | E.T.S.I. Aeronáuticos (UPM) [antigua denominación] |
| Departamento: | Vehículos Aeroespaciales [hasta 2014] |
| Licencias Creative Commons: | Reconocimiento - Sin obra derivada - No comercial |
Resumen
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.
Más información
| ID de Registro: | 15358 |
|---|---|
| Identificador DC: | https://oa.upm.es/15358/ |
| Identificador OAI: | oai:oa.upm.es:15358 |
| URL Portal Científico: | https://portalcientifico.upm.es/es/ipublic/item/5485537 |
| Identificador DOI: | 10.1177/0954406211401677 |
| URL Oficial: | http://pic.sagepub.com/content/225/8/1808 |
| Depositado por: | Memoria Investigacion |
| Depositado el: | 28 Ago 2013 09:51 |
| Ultima Modificación: | 12 Nov 2025 00:00 |
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