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Construction of higher‐order curl‐conforming finite elements and its assembly
Author(s) -
AmorMartin Adrian,
GarciaCastillo Luis E.
Publication year - 2019
Publication title -
international journal of rf and microwave computer‐aided engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.335
H-Index - 39
eISSN - 1099-047X
pISSN - 1096-4290
DOI - 10.1002/mmce.21753
Subject(s) - quadrilateral , curl (programming language) , finite element method , tetrahedron , hexahedron , basis (linear algebra) , robustness (evolution) , basis function , mathematics , computer science , geometry , mathematical analysis , structural engineering , engineering , programming language , biochemistry , chemistry , gene
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.