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arXiv · 2605.29264

The weak Galerkin method for a class of Gross-Pitaevskii type eigenvalue problems

Wei Lu·Qilong Zhai
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Abstract

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.

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Wei Lu, Qilong Zhai. 2026-05-28. The weak Galerkin method for a class of Gross-Pitaevskii type eigenvalue problems. https://arxiv.org/abs/2605.29264

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