A new hybrid high-order method for the Gross-Pitaevskii eigenvalue problem is shown to converge at optimal rates and, with a modified quadrature, to deliver guaranteed lower bounds on the ground-state energy without post-processing.
Bebendorf, A note on the poincaré inequality for convex domains, Z
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A Hybrid High-Order Method for the Gross--Pitaevskii Eigenvalue Problem
A new hybrid high-order method for the Gross-Pitaevskii eigenvalue problem is shown to converge at optimal rates and, with a modified quadrature, to deliver guaranteed lower bounds on the ground-state energy without post-processing.