130 citations · 223 across the 20 of their papers we have counts for
4 papers · 1 filter
On eigenmode approximation for Dirac equations: differential forms and fractional Sobolev spaces
Snorre H. Christiansen
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 arizing…
Second order gauge invariant discretizations to the Schrödinger and Pauli equations
Snorre Harald Christiansen, Tore Gunnar Halvorsen
We introduce a numerical method, based on finite elements and lattice gauge theory, to compute approximate solutions to Schrödinger and Pauli equations. The crucial geometric prope…
Constructions of some minimal finite element systems
Snorre H. Christiansen, Andrew Gillette
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 c…
Mathematics ... Applications
Snorre H. Christiansen
We consider a definition of mathematics as the art of thinking in terms of formalized systems, and the science of relations, structures and algorithms. We also touch upon the relat…