Publications

Peer-reviewed papers

• M. Hauck, Y. Liang, and D. Peterseim. Positivity preserving finite element method for the Gross–Pitaevskii ground state: discrete uniqueness and global convergence. Numer. Math. 158, 985–1014 (2026).[doi]
• M. Hauck, Y. Liang, A hybrid high-order method for the the Gross-Pitaevskii eigenvalue problem. IMA Journal of Numerical Analysis, draf126.[doi].
• D. Gallistl, M. Hauck, Y. Liang, and D. Peterseim. Mixed finite elements for the Gross-Pitaevskii eigenvalue problem: a priori error analysis andguaranteed lower energy bound. IMA Journal of Numerical Analysis, Volume 45, Issue 3, May 2025, Pages 1320–1346.[doi]
• J. Hu, Y. Liang, R. Ma and M. Zhang. A family of conforming finite element divdiv complexes on cuboid meshes. Numer. Math. 156, 1603–1638 (2024).[doi]
• J. Hu, Y. Liang and T. Lin. Finite Element Grad Grad Complexes and Elasticity Complexes on Cuboid Meshes. J Sci Comput 99, 50 (2024).[doi]
• J. Hu, Y. Liang, and R. Ma. Conforming finite element divdiv complexes and the application for the linearized einstein–bianchi system. SIAM Journal on Numerical Analysis, 60(3):1307–1330, 2022.[doi]
• J. Hu, Y. Liang, Conforming discrete gradgrad-complexes in three dimensions. Math. Comp. 90 (2021), no. 330, 1637-1662.[doi]

Preprints

• J. Hu, Y. Liang, and T. Lin, Finite Element Complexes with Traces Structures: A unified framework for cohomology and bounded interpolation.[arXiv:2509.23788]
• Y. Liang, and N. T. Tran, A hybrid high-order method for the biharmonic problem.[arxiv: 2504.16608]
• J. Hu, Y. Liang, and T. Lin, Local Bounded Commuting Projection Operators for Discrete Gradgrad Complexes.[arXiv:2304.11566]
• J. Hu, Y. Liang, and T. Lin, Local Bounded Commuting Projection Operators for Discrete de Rham Complexes.[arXiv:2303.09359]