Now showing items 1-4 of 4

  • Christiansen, Snorre H; Gillette, Andrew (Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2016)
    Within the framework of finite element systems, we show how spaces of differential forms may be constructed, in such a way that they are equipped with commuting interpolators and contain prescribed functions, and are minimal ...
  • Christiansen, Snorre H; Hu, Jun; Hu, Kaibo (Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2017)
    We construct 2D and 3D finite element de Rham sequences of arbitrary polynomial degrees with extra smoothness. Some of these elements have nodal degrees of freedom and can be considered as generalisations of scalar Hermite ...
  • Christiansen, Snorre H (Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2017)
    We comment on the discretization of the Dirac equation using finite element spaces of differential forms. In order to treat perturbations by low order terms, such as those arising from electromagnetic fields, we develop ...
  • Christiansen, Snorre H; Rapetti, Francesca (Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2016)
    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 the finite element exterior calculus of ...