an encyclopedia of finite element definitions

# Buffa–Christiansen

 Abbreviated names BC Orders $$k=1$$ Reference elements dual polygon Number of DOFs dual polygon(n): $$n$$ Mapping contravariant Piola continuity Components normal to facets are continuous Notes These elements are defined on the barycentric dual grid. These elements are defined as a linear combination of Raviart-Thomas basis functions on the fine grid. Categories Vector-valued elements, H(div) conforming elements

## Implementations

 Bempp "BC"↓ Show Bempp examples ↓ Symfem "BC"↓ 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

• Buffa, Annalisa and Christiansen, Snorre H. A dual finite element complex on the barycentric refinement, Mathematics of Computation 76, 1743–1769, 2007. [DOI: 10.1016/j.crma.2004.12.022] [BibTeX]

## DefElement stats

 Element added 24 January 2021 Element last updated 02 August 2022