Cover Image

Convergence of a Riemannian gradient method for the Gross-Pitaevskii energy functional in a rotating frame

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Henning, Patrick, Yadav, Mahima
Format:	Preprint
Published:	2024
Subjects:	Numerical Analysis 35Q55, 65N12, 65N25, 81Q05
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

The dependency of spectral gaps on the convergence of the inverse iteration for a nonlinear eigenvector problem
by: Henning, Patrick
Published: (2022)

Nonlinear Inverse Iterations for Spin-Orbit Coupled Quantum Gases
by: Henning, Patrick, et al.
Published: (2026)

Positivity preserving finite element method for the Gross-Pitaevskii ground state: discrete uniqueness and global convergence
by: Hauck, Moritz, et al.
Published: (2024)

On discrete ground states of rotating Bose-Einstein condensates
by: Henning, Patrick, et al.
Published: (2023)

An extended Fourier pseudospectral method for the Gross-Pitaevskii equation with low regularity potential
by: Bao, Weizhu, et al.
Published: (2023)

A Lawson-time-splitting extended Fourier pseudospectral method for the Gross-Pitaevskii equation with time-dependent low regularity potential
by: Lin, Bo, et al.
Published: (2024)

A model reduction method for solving the eigenvalue problem of semiclassical random Schrödinger operators
by: Li, Panchi, et al.
Published: (2025)

Error bounds for discrete minimizers of the Ginzburg-Landau energy in the high-$κ$ regime
by: Dörich, Benjamin, et al.
Published: (2023)

Computing the Gross-Pitaevskii Ground State via Wasserstein Gradient Flow in Diffeomorphism Space
by: Zhang, Xiangxiong, et al.
Published: (2026)

Explicit Two-Sided Eigenvalue Bounds for Schrödinger Operators with Singular Potentials via Finite Element Method
by: Liu, Xuefeng
Published: (2026)

Fourth-order uniformly accurate integrators with long time near conservations for the nonlinear Dirac equation in the nonrelativistic regime
by: Wang, Lina, et al.
Published: (2025)

On Optimal Convergence Rates for the Nonlinear Schrödinger Equation with a Wave Operator via Localized Orthogonal Decomposition
by: Hu, Hanzhang, et al.
Published: (2026)

Riemannian optimisation methods for ground states of multicomponent Bose-Einstein condensates
by: Altmann, R., et al.
Published: (2024)

A Simple GPU-Accelerated Solver for the Schrödinger Operator with Applications to Ground States and Hamiltonian Simulation
by: Liu, Xinyu, et al.
Published: (2026)

The pollution effect for FEM approximations of the Ginzburg-Landau equation
by: Chaumont-Frelet, Théophile, et al.
Published: (2025)

Energy-Adaptive Riemannian Conjugate Gradient Method for Density Functional Theory
by: Peterseim, Daniel, et al.
Published: (2025)

Vortex-capturing multiscale spaces for the Ginzburg-Landau equation
by: Blum, Maria, et al.
Published: (2024)

A two level approach for simulating Bose-Einstein condensates by localized orthogonal decomposition
by: Döding, Christian, et al.
Published: (2022)

Riemannian Newton methods for energy minimization problems of Kohn-Sham type
by: Altmann, R., et al.
Published: (2023)

A multiscale approach to the stationary Ginzburg-Landau equations of superconductivity
by: Döding, Christian, et al.
Published: (2024)

A Reynolds-semi-robust and pressure robust Hybrid High-Order method for the time dependent incompressible Navier--Stokes equations on general meshes
by: Quiroz, Daniel Castanon, et al.
Published: (2024)

Discontinuous Galerkin approximation for a Stokes-Brinkman-type formulation for the eigenvalue problem in porous media
by: Lepe, Felipe, et al.
Published: (2025)

Error estimates of the time-splitting methods for the nonlinear Schrödinger equation with semi-smooth nonlinearity
by: Bao, Weizhu, et al.
Published: (2023)

Optimal error bounds on an exponential wave integrator Fourier spectral method for the logarithmic Schrödinger equation
by: Bao, Weizhu, et al.
Published: (2024)

Low regularity estimates of the Lie-Totter time-splitting Fourier spectral method for the logarithmic Schrödinger equation
by: Zhang, Xiaolong, et al.
Published: (2024)

Optimal error bounds on time-splitting methods for the nonlinear Schrödinger equation with low regularity potential and nonlinearity
by: Bao, Weizhu, et al.
Published: (2023)

Convergence analysis for a fully-discrete finite element approximation of the unsteady $p(\cdot,\cdot)$-Navier-Stokes equations
by: Berselli, Luigi C., et al.
Published: (2024)

A Stokes-Brinkman-type formulation for the eigenvalue problem in porous media
by: Lepe, Felipe, et al.
Published: (2025)

Error estimates of an exponential wave integrator for the nonlinear Schrödinger equation with singular potential
by: Bao, Weizhu, et al.
Published: (2025)

Finite element discretization of the steady, generalized Navier-Stokes equations for small shear stress exponents
by: Kaltenbach, Alex, et al.
Published: (2024)

Serendipity discrete complexes with enhanced regularity
by: Di Pietro, Daniele, et al.
Published: (2024)

Optimal error bounds on the exponential wave integrator for the nonlinear Schrödinger equation with low regularity potential and nonlinearity
by: Bao, Weizhu, et al.
Published: (2023)

An explicit and symmetric exponential wave integrator for the nonlinear Schrödinger equation with low regularity potential and nonlinearity
by: Bao, Weizhu, et al.
Published: (2023)

Interior penalty discontinuous Galerkin methods for the nearly incompressible elasticity eigenvalue problem with heterogeneous media
by: Khan, Arbaz, et al.
Published: (2024)

Mixed finite elements for the Gross-Pitaevskii eigenvalue problem: a priori error analysis and guaranteed lower energy bound
by: Gallistl, Dietmar, et al.
Published: (2024)

A robust solver for H(curl) convection-diffusion and its local Fourier analysis
by: Wang, Jindong, et al.
Published: (2024)

A Hybrid High-Order Method for the Gross--Pitaevskii Eigenvalue Problem
by: Hauck, Moritz, et al.
Published: (2025)

Asymptotic Recovery in Fourier Spectral Methods for the Schrödinger Equation with Point Singularities
by: Li, Yanjie, et al.
Published: (2026)

Optimal error bounds on an exponential wave integrator Fourier spectral method for fractional nonlinear Schrödinger equations with low regularity potential and nonlinearity
by: Jia, Junqing, et al.
Published: (2024)

Analysis of the Single Reference Coupled Cluster Method for Electronic Structure Calculations: The Discrete Coupled Cluster Equations
by: Hassan, Muhammad, et al.
Published: (2023)