Construction of higher-order curl-conforming finite elements and its assembly Articles uri icon

publication date

  • August 2019

start page

  • 1

end page

  • 7

issue

  • 8, e21753

volume

  • 29

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)