Publications:

• V. Gudibanda, F. Weber, Y. Yue. Convergence analysis of a fully discrete energy-stable numerical scheme for the Q-tensor flow of liquid crystals. SIAM Journal on Numerical Analysis, volume 60, pages 2150–2181, 2022. paper 

• Y. Yue. On the convergence of an unconditionally stable numerical scheme for the Q-tensor flow based on the invariant quadratization method. Applied Mathematics Letters, volume 138, page 108522, 2023. paper

• F. Weber, Y. Yue. On the convergence of an IEQ-based first-order semi-discrete scheme for the Beris-Edwards system. ESAIM: Mathematical Modelling and Numerical Analysis, volume 57, pages 3275–3302. EDP Sciences, 2023. paper

• Y. Yue. Two novel numerical methods for gradient flows: generalizations of the Invariant Energy Quadratization method. Numerical Algorithms, pages 1–35. Springer, 2024. paper

• Lukas Einkemmer, Qin Li, Clément Mouhot, and Yukun Yue. Control of instability in a Vlasov-Poisson system through an external electric field. Journal of Computational Physics, page 113904, 2025. paper

• Jiannan Jiang, Noel J Walkington, and Yukun Yue. Stability and convergence of HDG schemes under minimal regularity. SIAM Journal on Numerical Analysis, volume 63, pages 2048–2071, 2025. paper

• Max Hirsch, Franziska Weber, and Yukun Yue. The zero inertia limit for the Q-tensor model of liquid crystals: analysis and numerics. ESAIM: Mathematical Modelling and Numerical Analysis, volume 59, pages 2515–2556, 2025. paper

Preprints:

• Y. Yue. Discrete Poincaré inequality and discrete trace inequality in piece-wise polynomial hybridizable spaces. arXiv preprint arXiv:2403.19004, 2024. paper

• S. Ma and Y. Yue. Penalty Adversarial Network (PAN): A neural network-based method to solve PDE-constrained optimal control problems. arXiv preprint arXiv:2409.02260, 2024. paper

• Martin Guerra, Qin Li, and Yukun Yue. What metric to optimize for suppressing instability in a Vlasov-Poisson system? arXiv preprint arXiv:2504.10435, 2025. paper

• Peiyi Chen, Rogerio Jorge, Qin Li, and Yukun Yue. Control of a uniformly magnetized plasma with external electric fields. arXiv preprint arXiv:2509.07988, 2025. paper

• Nicolas Crouseilles, Lukas Einkemmer, Qin Li, Uri Shumlak, and Yukun Yue. Control of kinetic plasma instabilities by laser fields. arXiv preprint arXiv:2509.23080, 2025. paper