The weak Galerkin method for a class of Gross-Pitaevskii type eigenvalue problems
Numerical Analysis
2026-05-29 v1 Numerical Analysis
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.
Cite
@article{arxiv.2605.29264,
title = {The weak Galerkin method for a class of Gross-Pitaevskii type eigenvalue problems},
author = {Wei Lu and Qilong Zhai},
journal= {arXiv preprint arXiv:2605.29264},
year = {2026}
}