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

volume

  • 29

International Standard Serial Number (ISSN)

  • 1096-4290

Electronic International Standard Serial Number (EISSN)

  • 1099-047X

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

subjects

  • Telecommunications

keywords

  • basis functions; computational electromagnetics (cem); curl-conformity; finite element method (fem); fem assembly