4 citations · 5 across the 4 of their papers we have counts for
4 papers
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…
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…
Positivity preserving finite element method for the Gross-Pitaevskii ground state: discrete uniqueness and global convergence
Moritz Hauck, Yizhou Liang, Daniel Peterseim
We propose a positivity preserving finite element discretization for the nonlinear Gross-Pitaevskii eigenvalue problem. The method employs mass lumping techniques, which allow to t…
Mixed finite elements for the Gross-Pitaevskii eigenvalue problem: a priori error analysis and guaranteed lower energy bound
Dietmar Gallistl, Moritz Hauck, Yizhou Liang +1
We establish an a priori error analysis for the lowest-order Raviart-Thomas finite element discretisation of the nonlinear Gross-Pitaevskii eigenvalue problem. Optimal convergence…