Zobrazeno 1 - 10
of 128
pro vyhledávání: '"Halvorsen, Tore"'
Autor:
Christiansen, Snorre H.1 (AUTHOR), Halvorsen, Tore G.1 (AUTHOR), Scheid, Claire2 (AUTHOR) Claire.Scheid@univ-cotedazur.fr
Publikováno v:
Numerical Methods for Partial Differential Equations. Jul2023, Vol. 39 Issue 4, p3271-3308. 38p.
We introduce a numerical method, based on finite elements and lattice gauge theory, to compute approximate solutions to Schr\"odinger and Pauli equations. The crucial geometric property of the method is discrete gauge invariance. The main new achieve
Externí odkaz:
http://arxiv.org/abs/1505.08040
Autor:
Halvorsen, Tore
Oppgaven tar for seg noen av problemstillingene som oppstår hvis man forsøker å distribuere en evolusjon ut i flere parallelle prosesser. Den ser først og fremst på de ulike måtene subpopulasjoner kan kommunisere, og hvordan parametere for komm
Externí odkaz:
http://urn.kb.se/resolve?urn=urn:nbn:no:ntnu:diva-254
We study a numerical method for convection diffusion equations, in the regime of small viscosity. It can be described as an exponentially fitted conforming Petrov-Galerkin method. We identify norms for which we have both continuity and an inf-sup con
Externí odkaz:
http://arxiv.org/abs/1406.0390
Publikováno v:
Nuclear Physics B, Volume 854, Issue 1, 2012, Pages 166-183
We propose a general formulation of simplicial lattice gauge theory inspired by the finite element method. Numerical tests of convergence towards continuum results are performed for several SU(2) gauge fields. Additionaly, we perform simplicial Monte
Externí odkaz:
http://arxiv.org/abs/1107.1405
Publikováno v:
Numerische Mathematik, Volume 125, Issue 4, 2013, pp 733-760
We define a discrete gauge-invariant Yang-Mills-Higgs action on spacetime simplicial meshes. The formulation is a generalization of classical lattice gauge theory, and we prove consistency of the action in the sense of approximation theory. In additi
Externí odkaz:
http://arxiv.org/abs/1107.1420
Publikováno v:
J. Math. Phys., Vol. 53, No. 3, p. 033501+17, 2012
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 consistency. A discrete Noether's theorem that can be applied to our setting
Externí odkaz:
http://arxiv.org/abs/1006.2059
Autor:
Halvorsen, Tore Gunnar, Kvaal, Simen
Grid-based discretizations of the time dependent Schr\"odinger equation coupled to an external magnetic field are converted to manifest gauge invariant discretizations. This is done using generalizations of ideas used in classical lattice gauge theor
Externí odkaz:
http://arxiv.org/abs/0905.4177
Publikováno v:
Phys. Rev. A 77, 023808 (2008)
We examine the effect of superluminal signal propagation through a birefringent crystal, where the effect is not due to absorption or reflection, but to the filtration of a special polarization component. We first examine the effect by a stationary p
Externí odkaz:
http://arxiv.org/abs/0710.4457
Publikováno v:
Christiansen, Snorre H Halvorsen, Tore Gunnar Scheid, Claire . Convergence of a discretization of the Maxwell–Klein–Gordon equation based on finite element methods and lattice gauge theory. Numerical Methods for Partial Differential Equations. 2023
Numerical Methods for Partial Differential Equations
Numerical Methods for Partial Differential Equations
Externí odkaz:
http://hdl.handle.net/10852/108932