A Gauge Invariant Discretization on Simplicial Grids of the Schrödinger Eigenvalue Problem in an Electromagnetic Field

DOI10.1137/090757502zbMath1230.78027OpenAlexW2061500928MaRDI QIDQ3091803

Tore Gunnar Halvorsen, Snorre H. Christiansen

Publication date: 14 September 2011

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/e6278b0a4b17a32cd312ca6bde49c080bf37594f

zbMATH Keywords

finite elementseigenvaluesSchrödinger equationgauge invariance

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods applied to problems in optics and electromagnetic theory (78M20) Schrödinger operator, Schrödinger equation (35J10) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

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A stabilized semi-implicit Euler gauge-invariant method for the time-dependent Ginzburg-Landau equations ⋮ Complex Line Bundles Over Simplicial Complexes and Their Applications ⋮ A simplicial gauge theory

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