[1] R. Teng, Y. Li, H. Yang, Q. Zhou, X. Cui, A family of upwind high-order finite volume methods for convection-diffusion problems on rectangular meshes, Comput. Math. Appl. 206 (2026) 80–96.
[2] Y. Li, P. Yang, Z. Zhang, Polynomial preserving recovery for the finite volume element methods under simplex meshes, Math. Comp. 94 (352) (2025) 611–645.
[3] Z. Sheng, Y. Liu, Y. Li, A double-parameter shifted convolution quadrature formula and its application to fractional mobile/immobile transport equations, Appl. Math. Lett. 162 (2025) Paper No. 109388, 7.
[4] A. Li, H. Yang, Y. Gao, Y. Li, A new upwind finite volume element method for convection-diffusion-reaction problems on quadrilateral meshes, Commun. Comput. Phys. 35 (1) (2024) 239–272.
[5] B. Yu, Y. Li, J. Liu, A positivity-preserving and robust fast solver for time-fractional convection-diffusion problems, J. Sci. Comput. 98 (3) (2024) Paper No. 59, 26.
[6] P. Yang, X. Wang, Y. Li, Construction and analysis of the quadratic finite volume methods on tetrahedral meshes, Sci. China Math. 66 (4) (2023) 855–886.
[7] Y. Wang, X. Meng, Y. Li, The Bogner-Fox-Schmit element finite volume methods on the Shishkin mesh for fourth-order singularly perturbed elliptic problems, J. Sci. Comput. 93 (1) (2022) Paper No. 4, 40.
[8] H. Yang, B. Yu, Y. Li, G. Yuan, Monotonicity correction for second order element finite volume methods of anisotropic diffusion problems, J. Comput. Phys. 449 (2022) Paper No. 110759, 33.
[9] Y. Gao, Y. Li, G. Yuan, Z. Sheng, New finite volume element methods in the ALE framework for time-dependent convection-diffusion problems in moving domains, J. Comput. Appl. Math. 393 (2021) Paper No. 113537, 16.
[10] X. Wang, J. Lv, Y. Li, New superconvergent structures developed from the finite volume element method in 1D, Math. Comp. 90 (329) (2021) 1179–1205.
[11] X. Wang, W. Huang, Y. Li, Conditioning of the finite volume element method for diffusion problems with general simplicial meshes, Math. Comp. 88 (320) (2019) 2665–2696.
[12] Y. Gao, Y. Li, A mortar mixed finite volume method for elliptic problems on non-matching multi-block triangular grids, J. Sci. Comput. 73 (1) (2017) 50–69.
[13] X. Wang, Y. Li, L2 error estimates for high order finite volume methods on triangular meshes, SIAM J. Numer. Anal. 54 (5) (2016) 2729–2749.
[14] Y. Chen, Y. Li, Z. Sheng, G. Yuan, Adaptive bilinear element finite volume methods for second-order elliptic problems on nonmatching grids, J. Sci. Comput. 64 (1) (2015) 130–150.
[15] J. Lv, Y. Li, Optimal biquadratic finite volume element methods on quadrilateral meshes, SIAM J. Numer. Anal. 50 (5) (2012) 2379–2399.
[16] Y. Li, S. Shu, Y. Xu, Q. Zou, Multilevel preconditioning for the finite volume method, Math. Comp. 81 (279) (2012) 1399–1428.
[17] J. Lv, Y. Li, L2 error estimate of the finite volume element methods on quadrilateral meshes, Adv. Comput. Math. 33 (2) (2010) 129–148.
[18] Y. Li, R. Li, Generalized difference methods on arbitrary quadrilateral networks, J. Comput. Math. 17 (6) (1999) 653–672.
著作教材：
[1] 李永海，术洪亮，张德悦，宫成春，邹永魁《现代数值计算方法基础》 科学出版社
[2] 李荣华，李永海，武海军 《微分方程数值解法》 高等教育出版社
