Heid, Pascal; Stamm, Benjamin; Wihler, Thomas P. (2021). Gradient flow finite element discretizations with energy-based adaptivity for the Gross-Pitaevskii equation. Journal of computational physics, 436, p. 110165. Elsevier 10.1016/j.jcp.2021.110165
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We present an effective adaptive procedure for the numerical approximation of the steady-state Gross–Pitaevskii equation. Our approach is solely based on energy minimization, and consists of a combination of a novel adaptive finite element mesh refinement technique, which does not rely on any a posteriori error estimates, and a recently proposed new gradient flow. Numerical tests show that this strategy is able to provide highly accurate results, with optimal convergence rates with respect to the number of degrees of freedom.
Item Type: |
Journal Article (Original Article) |
|---|---|
Division/Institute: |
08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematics |
UniBE Contributor: |
Wihler, Thomas |
Subjects: |
500 Science > 510 Mathematics |
ISSN: |
0021-9991 |
Publisher: |
Elsevier |
Funders: |
[42] Schweizerischer Nationalfonds |
Projects: |
Projects 200021 not found. |
Language: |
English |
Submitter: |
Sebastiano Don |
Date Deposited: |
04 Feb 2022 16:34 |
Last Modified: |
05 Dec 2022 16:04 |
Publisher DOI: |
10.1016/j.jcp.2021.110165 |
BORIS DOI: |
10.48350/164658 |
URI: |
https://boris.unibe.ch/id/eprint/164658 |
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