130 citations · 223 across the 20 of their papers we have counts for
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Stability of Hodge decompositions in finite element spaces of differential forms in arbitrary dimension
Snorre Harald Christiansen
We elaborate on the interpretation of some mixed finite element spaces in terms of differential forms. First we develop a framework in which we show how tools from algebraic topolo…
Finite element systems of differential forms
Snorre Harald Christiansen
We develop the theory of mixed finite elements in terms of special inverse systems of complexes of differential forms, defined over cellular complexes. Inclusion of cells correspon…
A simplicial gauge theory
Snorre Harald Christiansen, Tore Gunnar Halvorsen
We provide an action for gauge theories discretized on simplicial meshes, inspired by finite element methods. The action is discretely gauge invariant and we give a proof of consis…
On variational eigenvalue approximation of semidefinite operators
Snorre Harald Christiansen, Ragnar Winther
Eigenvalue problems for semidefinite operators with infinite dimensional kernels appear for instance in electromagnetics. Variational discretizations with edge elements have long b…