| Full text | |
| Author(s): |
Ayala Bravo, Cedric M. A.
[1]
;
Pavanello, Renato
[1]
;
Devloo, Philippe R. B.
[2]
;
Calle, Jorge L. D.
[3]
Total Authors: 4
|
| Affiliation: | [1] Univ Estadual Campinas, Fac Engn Mecan, BR-13083970 Campinas, SP - Brazil
[2] Univ Estadual Campinas, Fac Engn Civil Arquitetura & Urbanismo, BR-13083970 Campinas, SP - Brazil
[3] Univ Sao Paulo, Dept Ciencias Basicas, Fac Zootecnia & Engn Alimentos, Pirassununga, SP - Brazil
Total Affiliations: 3
|
| Document type: | Journal article |
| Source: | Linear Algebra and its Applications; v. 460, p. 174-204, NOV 1 2014. |
| Web of Science Citations: | 1 |
| 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. (C) 2014 Elsevier Inc. All rights reserved. (AU) | |