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http://repositorio.unicamp.br/jspui/handle/REPOSIP/349527
Type: | Artigo |
Title: | Definition of a P-interpolating space of hierarchical bases of finite elements on the pyramid |
Author: | Ayala Bravo, Cedric M. A. Pavanello, Renato Devloo, Philippe R. B. Calle, Jorge L. D. |
Abstract: | This article shows in detail how to construct in a simple and ordered way a set of rational functions defined on the pyramid topology. The set of functions is parameterized by an integer p. It is shown that these functions, defined in a hierarchical way, constitute a basis for a complete polynomial interpolation space of degree p on the pyramid domain. In order to help this definition we use a denumerable sequence of orthogonal polynomials defined on an interval of the real line. A priori, any increasing sequence of polynomials in one variable can be used. The bases are constructed to be used in the class C method of finite elements. The rational functions thus defined can be combined to represent any polynomial of degree p. Thus, given an arbitrary number p, one defines a finite element whose geometry is a pyramid that has associated a complete interpolation space of degree p. Moreover, this element is adequate to be used with the p-adaptive technique on heterogeneous meshes of finite elements hierarchical |
Subject: | Espaços de interpolação |
Country: | Estados Unidos |
Editor: | Elsevier |
Rights: | Fechado |
Identifier DOI: | 10.1016/j.laa.2014.07.033 |
Address: | https://www.sciencedirect.com/science/article/pii/S0024379514004832 |
Date Issue: | 2014 |
Appears in Collections: | FEC - Artigos e Outros Documentos IMECC - Artigos e Outros Documentos FEM - Artigos e Outros Documentos |
Files in This Item:
File | Description | Size | Format | |
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000342250400010.pdf | 1.25 MB | Adobe PDF | View/Open |
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