The Finite Element Method for the Time-Dependent Gross--Pitaevskii Equation with Angular Momentum Rotation

DOI10.1137/15M1009172zbMath1362.65105arXiv1502.05025MaRDI QIDQ5347526

Axel Målqvist, Patrick Henning

Publication date: 24 May 2017

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

Full work available at URL: https://arxiv.org/abs/1502.05025

zbMATH Keywords

finite element methodGross-Pitaevskii equationBose-Einstein condensate

Mathematics Subject Classification ID

Schrödinger operator, Schrödinger equation (35J10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (10)

Shadow Lagrangian dynamics for superfluidity ⋮ A note on optimal \(H^1\)-error estimates for Crank-Nicolson approximations to the nonlinear Schrödinger equation ⋮ Arbitrary high-order exponential integrators conservative schemes for the nonlinear Gross-Pitaevskii equation ⋮ A linearly-implicit and conservative Fourier pseudo-spectral method for the 3D Gross-Pitaevskii equation with angular momentum rotation ⋮ Optimal point-wise error estimates of two conservative finite difference schemes for the coupled Gross-Pitaevskii equations with angular momentum rotation terms ⋮ Arbitrarily high-order structure-preserving schemes for the Gross-Pitaevskii equation with angular momentum rotation ⋮ Crank–Nicolson Galerkin approximations to nonlinear Schrödinger equations with rough potentials ⋮ A NEW LINEAR AND CONSERVATIVE FINITE DIFFERENCE SCHEME FOR THE GROSS–PITAEVSKII EQUATION WITH ANGULAR MOMENTUM ROTATION ⋮ Optimal H¹-Error Estimates for Crank-Nicolson Finite Difference Scheme for Gross-Pitaevskii Equation with Angular Momentum Rotation Term ⋮ Superconvergence of time invariants for the Gross–Pitaevskii equation

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