an encyclopedia of finite element definitions

Rotated Buffa–Christiansen

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Abbreviated namesRBC
Orders\(k=1\)
Reference elementsdual polygon
Number of DOFsdual polygon(n): \(n\)
Mappingcovariant Piola
continuityComponents tandential 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

Implementations

Bempp"RBC"
↓ Show Bempp examples ↓
Symfem"RBC"
↓ Show Symfem examples ↓

Examples

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)

References

DefElement stats

Element added24 January 2021
Element last updated02 August 2022