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It can be seen as a realization of the simplicial cochain complex. We construct a new complex Y ∙ Y^\\bullet of finite element spaces on the barycentric refinement of the mesh which can be seen as a realization of the simplicial chain complex on the original (unrefined) mesh, such that the L 2 \\mathrm {L}^2 duality is non-degenerate on Y i × X 2 − i Y^i \\times X^{2-i} for each i ∈ { 0 , 1 , 2 } i\\in \\{0,1,2\\} . In particular Y 1 Y^1 is a space of c u r l \\mathrm {curl} -conforming vector fields which is L 2 \\mathrm {L}^2 dual to Raviart-Thomas div \\operatorname {div} -conforming elements. 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A dual finite element complex on the barycentric refinement 论文

A dual finite element complex on the barycentric refinement · 相关事件