Citation:
Amor‐Martin, A., & Garcia‐Castillo, L. E. (2019). Construction of higher‐order curl‐conforming finite elements and its assembly. In International Journal of RF and Microwave Computer-Aided Engineering, 29(8), 1-7
xmlui.dri2xhtml.METS-1.0.item-contributor-funder:
Ministerio de Ciencia y Tecnología (España) Ministerio de Educación, Cultura y Deporte (España)
Sponsor:
Ministerio de Ciencia y Tecnología, Grant/Award Numbers: TEC2013- 47753-C3, TEC2016-80386-P; Ministerio de Educación, Cultura y Deporte, Grant/Award Number: FPU14/03743
Project:
Gobierno de España. TEC2016-80386-P Gobierno de España. TEC2013- 47753-C3 Gobierno de España. FPU14/03743
Keywords:
Basis functions
,
Computational electromagnetics (cem)
,
Curl-conformity
,
Finite element method (fem)
,
Fem assembly
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 assDifferent 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[+][-]