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

Preprints:

• J. Jiang, N. Walkington, Y. Yue. Stability and convergence of HDG schemes under minimal regularity. arXiv preprint arXiv:2310.18448, 2023. paper

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

• L. Einkemmer, Q. Li, C. Mouhot, and Y. Yue. Control of instability in a Vlasov-Poisson system through an external electric field. arXiv preprint arXiv:2407.15008, 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