A hybrid discontinuous Galerkin method for computing the ground state solution of Bose-Einstein condensates

DOI10.1016/j.jcp.2012.03.010zbMath1250.81040OpenAlexW2005953864MaRDI QIDQ440611

Jari Toivanen, Charbel Farhat

Publication date: 19 August 2012

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2012.03.010

zbMATH Keywords

nonlinear Schrödinger equationground statediscontinuous Galerkin methodGross-Pitaevskii equationBose-Einstein condensatediscontinuous enrichment method

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Phase transitions (general) in equilibrium statistical mechanics (82B26) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (2)

A finite-element toolbox for the stationary Gross-Pitaevskii equation with rotation ⋮ A Krylov semi-implicit discontinuous Galerkin method for the computation of ground and excited states in Bose-Einstein condensates

Cites Work

• Unnamed Item
• Ground state of the time-independent Gross-Pitaevskii equation
• Solution of time-independent Schrödinger equation by the imaginary time propagation method
• A minimisation approach for computing the ground state of Gross-Pitaevskii systems
• A discontinuous Galerkin method with Lagrange multipliers for the solution of Helmholtz problems in the mid-frequency regime
• Two-level domain decomposition methods with Lagrange multipliers for the fast iterative solution of acoustic scattering problems
• A finite element method with mesh adaptivity for computing vortex states in fast-rotating Bose-Einstein condensates
• FETI-DP: a dual-primal unified FETI method?part I: A faster alternative to the two-level FETI method
• A discontinuous enrichment method for variable-coefficient advection-diffusion at high Péclet number
• A domain decomposition method for discontinuous Galerkin discretizations of Helmholtz problems with plane waves and Lagrange multipliers
• Three-dimensional discontinuous Galerkin elements with plane waves and Lagrange multipliers for the solution of mid-frequency Helmholtz problems
• The discontinuous enrichment method for elastic wave propagation in the medium-frequency regime
• A higher-order discontinuous enrichment method for the solution of high péclet advection-diffusion problems on unstructured meshes
• Classical and enriched finite element formulations for Bloch-periodic boundary conditions
• Mixed and Hybrid Finite Element Methods
• Computing the Ground State Solution of Bose--Einstein Condensates by a Normalized Gradient Flow
• The perfectly matched layer for the ultra weak variational formulation of the 3D Helmholtz equation
• Higher‐order extensions of a discontinuous Galerkin method for mid‐frequency Helmholtz problems
• The discontinuous enrichment method

This page was built for publication: A hybrid discontinuous Galerkin method for computing the ground state solution of Bose-Einstein condensates