Gradient flow finite element discretizations with energy-based adaptivity for the Gross-Pitaevskii equation (Q2131058)

scientific article; zbMATH DE number 7513837

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English	Gradient flow finite element discretizations with energy-based adaptivity for the Gross-Pitaevskii equation	scientific article; zbMATH DE number 7513837

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instance of

scholarly article

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title

Gradient flow finite element discretizations with energy-based adaptivity for the Gross-Pitaevskii equation (English)

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Journal of Computational Physics

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publication date

25 April 2022

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full work available at URL

https://arxiv.org/abs/1906.06954

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zbMATH Keywords

semilinear elliptic operators

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linear and nonlinear eigenvalue problems

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energy minimization

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gradient flows

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iterative Galerkin procedures

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adaptive finite element methods

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describes a project that uses

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An adaptive Newton-method based on a dynamical systems approach

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Fully Adaptive Newton--Galerkin Methods for Semilinear Elliptic Partial Differential Equations

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GPELab, a Matlab toolbox to solve Gross-Pitaevskii equations. I: Computation of stationary solutions

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Robust and efficient preconditioned Krylov spectral solvers for computing the ground states of fast rotating and strongly interacting Bose-Einstein condensates

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Efficient spectral computation of the stationary states of rotating Bose-Einstein condensates by preconditioned nonlinear conjugate gradient methods

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Efficient numerical methods for computing ground states and dynamics of dipolar Bose-Einstein condensates

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Efficient and spectrally accurate numerical methods for computing ground and first excited states in Bose-Einstein condensates

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Computing the Ground State Solution of Bose--Einstein Condensates by a Normalized Gradient Flow

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Numerical solution of the Gross--Pitaevskii equation for Bose--Einstein condensation

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A Generalized-Laguerre–Fourier–Hermite Pseudospectral Method for Computing the Dynamics of Rotating Bose–Einstein Condensates

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Ground-state solution of Bose--Einstein condensate by directly minimizing the energy functional

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A posteriori analysis of iterative algorithms for a nonlinear problem

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A minimisation approach for computing the ground state of Gross-Pitaevskii systems

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Two-grid methods for a class of nonlinear elliptic eigenvalue problems

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Numerical analysis of nonlinear eigenvalue problems

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Iterative Galerkin discretizations for strongly monotone problems

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A New Sobolev Gradient Method for Direct Minimization of the Gross–Pitaevskii Energy with Rotation

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Computation of Ground States of the Gross--Pitaevskii Functional via Riemannian Optimization

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A Convergent Adaptive Algorithm for Poisson’s Equation

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Guaranteed and robust a posteriori error estimates and balancing discretization and linearization errors for monotone nonlinear problems

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Convergence of an adaptive Kačanov FEM for quasi-linear problems

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Q3609579

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On the convergence of adaptive iterative linearized Galerkin methods

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Adaptive energy minimisation for $hp$-finite element methods

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An $hp$-adaptive Newton-discontinuous-Galerkin finite element approach for semilinear elliptic boundary value problems

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An Inverse Iteration Method for Eigenvalue Problems with Eigenvector Nonlinearities

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Minimizing the Gross-Pitaevskii energy functional with the Sobolev gradient -- analytical and numerical results

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The Finite Element Method: Theory, Implementation, and Applications

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<i>A posteriori</i>error estimates for discontinuous Galerkin methods using non-polynomial basis functions. Part II: Eigenvalue problems

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Regularity and hp discontinuous Galerkin finite element approximation of linear elliptic eigenvalue problems with singular potentials

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Energy minimization related to the nonlinear Schrödinger equation

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A Multigrid Method for Ground State Solution of Bose-Einstein Condensates

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An Efficient Multigrid Method for Ground State Solution of Bose-Einstein Condensates

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Identifiers

Mathematics Subject Classification ID

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10.1016/J.JCP.2021.110165

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Sitelinks

Mathematics(1 entry)

mardi Publication:2131058