2 papers
math.NA2026
A hybrid high-order method for the biharmonic problem
Yizhou Liang, Ngoc Tien Tran
This paper proposes a new hybrid high-order discretization for the biharmonic problem and the corresponding eigenvalue problem. The discrete ansatz space includes degrees of freedo…
math.NA2025
A Hybrid High-Order Method for the Gross--Pitaevskii Eigenvalue Problem
Moritz Hauck, Yizhou Liang
We introduce a hybrid high-order method for approximating the ground state of the nonlinear Gross--Pitaevskii eigenvalue problem. Optimal convergence rates are proved for the groun…