Super-localised wave function approximation of Bose-Einstein condensates

Peterseim, Daniel; Wärnegård, Johan; Zimmer, Christoph

doi:10.1016/j.jcp.2024.113097

Journal of Computational Physics

2024

DOI: 10.1016/j.jcp.2024.113097

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Super-localised wave function approximation of Bose-Einstein condensates

Daniel Peterseim,

Johan Wärnegård,

Christoph Zimmer

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2024

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Cited by 2 publications

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Mixed finite elements for the Gross–Pitaevskii eigenvalue problem: a priori error analysis and guaranteed lower energy bound

Gallistl,

Hauck,

Liang

et al. 2024

IMA Journal of Numerical Analysis

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We establish an a priori error analysis for the lowest-order Raviart–Thomas finite element discretization of the nonlinear Gross-Pitaevskii eigenvalue problem. Optimal convergence rates are obtained for the primal and dual variables as well as for the eigenvalue and energy approximations. In contrast to conforming approaches, which naturally imply upper energy bounds, the proposed mixed discretization provides a guaranteed and asymptotically exact lower bound for the ground state energy. The theoretical results are illustrated by a series of numerical experiments.

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Mixed finite elements for the Gross–Pitaevskii eigenvalue problem: a priori error analysis and guaranteed lower energy bound

Gallistl,

Hauck,

Liang

et al. 2024

IMA Journal of Numerical Analysis

View full text Add to dashboard Cite

show abstract

A Scalable Two-Level Domain Decomposition Eigensolver for Periodic Schrödinger Eigenstates in Anisotropically Expanding Domains

Theisen,

Stamm

2024

SIAM J. Sci. Comput.

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Super-localised wave function approximation of Bose-Einstein condensates

Cited by 2 publications

References 46 publications

Mixed finite elements for the Gross–Pitaevskii eigenvalue problem: a priori error analysis and guaranteed lower energy bound

Mixed finite elements for the Gross–Pitaevskii eigenvalue problem: a priori error analysis and guaranteed lower energy bound

A Scalable Two-Level Domain Decomposition Eigensolver for Periodic Schrödinger Eigenstates in Anisotropically Expanding Domains

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