an encyclopedia of finite element definitions

Rotated Buffa–Christiansen

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Abbreviated namesRBC
Reference elementsdual polygon
Number of DOFsdual polygon(n): \(n\)
Mappingcovariant Piola
continuityComponents tangential to facets are continuous
NotesThese elements are defined on the barycentric dual grid.
These elements are defined as a linear combination of Nédélec first kind basis functions on the fine grid.
CategoriesVector-valued elements, H(curl) conforming elements


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dual polygon(4)
order 1

(click to view basis functions)
dual polygon(5)
order 1

(click to view basis functions)
dual polygon(6)
order 1

(click to view basis functions)


DefElement stats

Element added24 January 2021
Element last updated16 September 2023