Browsing Matematisk institutt by Author "Halvorsen, Tore Gunnar"

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  • Convergence of Lattice Gauge Theory for Maxwell's equation 
    Christiansen, Snorre H.; Halvorsen, Tore Gunnar (Research report / Forskningsrapport, 2008)
    In this article we show convergence of Lattice Gauge Theory with gauge group U(1) in the energy norm. This is done by stability analysis and comparison with the classical Yee-scheme which is convergent.
  • A gauge invariant discretization on simplicial grids of the Schrödinger eigenvalue problem in an electromagnetic field 
    Christiansen, Snorre H.; Halvorsen, Tore Gunnar (Research report / Forskningsrapport, 2009)
    We propose a method to compute approximate eigenpairs of the Schrödinger operator on a bounded domain in the presence of an electromagnetic field. The method is formulated for the simplicial grids that satisfy the discrete ...
  • Simplicial gauge theory on spacetime 
    Halvorsen, Tore Gunnar; Sørensen, Torquil Macdonald (Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2013)
    We define a discrete gauge-invariant Yang–Mills–Higgs action on spacetime cylindrical meshes with simplicial spatial base. The formulation is a generalization of classical lattice gauge theory, and we prove consistency of ...
  • Solving the Maxwell-Klein-Gordon equation in the Lattice Gauge Theory formalism 
    Christiansen, Snorre H.; Halvorsen, Tore Gunnar (Research report / Forskningsrapport, 2008)
    In this article we study the discretization of the Maxwell-Klein-Gordon equation from a variational point of view. We first solve the problem with an action corresponding to the Yee scheme for the Maxwell part, which is ...