The weak Galerkin method for a class of Gross-Pitaevskii type eigenvalue problems
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866910268967092224 |
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| author | Lu, Wei Zhai, Qilong |
| author_facet | Lu, Wei Zhai, Qilong |
| contents | This paper aims to employ the weak Galerkin method to solve a class of nonlinear eigenvalue problems. We proved the weak Galerkin scheme produces lower bound for the energy. Moreover, by the post-processing technique, we obtain lower bound for the ground state eigenvalue. Finally, numerical experiments are provided to validate the theoretical analysis. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_29264 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The weak Galerkin method for a class of Gross-Pitaevskii type eigenvalue problems Lu, Wei Zhai, Qilong Numerical Analysis This paper aims to employ the weak Galerkin method to solve a class of nonlinear eigenvalue problems. We proved the weak Galerkin scheme produces lower bound for the energy. Moreover, by the post-processing technique, we obtain lower bound for the ground state eigenvalue. Finally, numerical experiments are provided to validate the theoretical analysis. |
| title | The weak Galerkin method for a class of Gross-Pitaevskii type eigenvalue problems |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2605.29264 |