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math.NA2013★ 4 cited
Exact formulas for the approximation of connections and curvature
Snorre Harald Christiansen
First we express the holonomy along a boundary curve as the integral on the domain, of an expression which is linear in the curvature. Then we provide a rigorous justification of t…
math.NA2013
On high order finite element spaces of differential forms
Snorre Harald Christiansen, Francesca Rapetti
We show how the high order finite element spaces of differential forms due to Raviart-Thomas-Nédelec-Hiptmair fit into the framework of finite element systems, in an elaboration of…