Construction of higher-order curl-conforming finite elements and its assembly
Articles
Overview
published in
publication date
- August 2019
start page
- 1
end page
- 7
issue
- 8, e21753
volume
- 29
Digital Object Identifier (DOI)
International Standard Serial Number (ISSN)
- 1096-4290
abstract
- Different choices are available when constructing vector finite element bases in real coordinates. In this communication, two different designs of higher-order curl-conforming basis functions are introduced and explained, showing the particularities of its assembly. Tetrahedra and hexahedra are used as element shapes to assess the effect of triangular and quadrilateral faces on the two considered constructions of basis functions. A comparison of their robustness in terms of the condition number of the finite element matrices for a number of distortions is included
keywords
- basis functions; computational electromagnetics (cem); curl-conformity; fem assembly; finite element method (fem)