代表性成果与荣誉
发表的论文:
1. Superconvergent derivative recovery for Lagrange triangular elements of degree p on unstructured grids, R. E. Bank, J. Xu, and B. Zheng, SIAM Journal on Numerical Analysis, 45: 2032-2046, 2007.
2. A nonconforming finite element method for fourth order curl equations in R3, B. Zheng, Q. Hu, and J. Xu, Mathematics of Computation, 80: 1871-1886, 2011.
3. Adaptive mesh refinement and superconvergence for two dimensional interface problems, H. Wei, L. Chen, Y. Huang, and B. Zheng, SIAM Journal on Scientific Computing, 36: A1478-A1499, 2014.
4. Numerical solution of 3D Poisson-Nernst-Planck equations coupled with classical density functional theory for modeling ion and electron transport in a confined environment, D. Meng, B. Zheng, G. Lin, and M. L. Sushko, Communications in Computational Physics, 16: 1298-1322, 2014.
5. Quantifying the influence of conformational uncertainty in biomolecular solvation, H. Lei, X. Yang, B. Zheng, G. Lin, N. A. Baker, 2014, Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 13:1327–1353, 2015.
6. UQ Methods for HPDA and Cybersecurity Models, Data, and Use Cases, D. Engel, K. Jarman, Z. Xu, B. Zheng, et al., Pacific Northwest National Laboratory, 2015.
7. Fast multilevel solvers for a class of discrete fourth order parabolic problems, B. Zheng, L.-P. Chen, X. Hu, L. Chen, R. H. Nochetto, and J. Xu, Journal of Scientific Computing, 69: 201–226, 2016.
8. Error analysis of finite element method for Poisson-Nernst-Planck equations, Y. Sun, P. Sun, B. Zheng, and G. Lin, Journal of Computational and Applied Mathematics, 301: 28–43, 2016.
9. A two-level stochastic collocation method for semilinear elliptic equations with random coefficients, L.-P. Chen, B. Zheng, G. Lin, and N. Voulgarakis, Journal of Computational and Applied Mathematics, 315: 195–207, 2017.
10. The THex algorithm and a simple Darcy solver on hexahedral meshes, G. Harper, J. Liu, and B. Zheng, Procedia Computer Science, 108C: 1903–1912, 2017.
11. An hp-adaptive minimum action method based on a posteriori error estimate, X. Wan, B. Zheng, and G. Lin, Communications in Computational Physics, 23: 408-439, 2018.
12. Field-warmed soil carbon changes imply high 21st-century modeling uncertainty, K. Todd-Brown, B. Zheng, T. W. Crowther, Biogeosciences, 15(12): 3659-3671, 2018.
13. Lowest-Order Weak Galerkin Finite Element Methods for Linear Elasticity on Rectangular and Brick Meshes, G. Harper, J. Liu, S. Tavener, and B. Zheng, Journal of Scientific Computing, 78(3): 1917–1941, 2019.
14. A Homotopy Method with Adaptive Basis Selection for Computing Multiple Solutions of Differential Equations, W. Hao,J. Hesthaven,G. Lin,B. Zheng, Journal of Scientific Computing, 82(1): 19, 2020.
15. Evaluation of Company Investment Value based on Machine Learning, J. Hu, X. Li, Y. Xu, S. Wu, B. Zheng, DOI: 10.5121/csit.2020.101107: 75-81 2020.