Preprints
( * represents the corresponding author)18. Yaoyao Chen, Hailiang Liu, Nianyu Yi and Peimeng Yin*. Unconditionally energy stable IEQ-FEMs for the Cahn-Hilliard equation and Allen-Cahn equation. arXiv preprint, arXiv:2402.02712, 2024. [arXiv]
17. Peimeng Yin, Eirik Endeve, Cory D. Hauck and Stefan R. Schnake. A semi-implicit dynamical low-rank discontinuous Galerkin method for space homogeneous kinetic equations. Part I: emission and absorption. , arXiv preprint, arXiv:2308.05914, 2023. [arXiv]
16. Hengguang Li and Peimeng Yin*. A $C^0$ finite element algorithm for the sixth order problem with simply supported boundary conditions. , arXiv preprint, arXiv:2304.07936, 2023. [arXiv]
15. Hengguang Li, Charuka D. Wickramasinghe and Peimeng Yin*. A $C^0$ finite element method for the biharmonic problem with Dirichlet boundary conditions in a polygonal domain. ,submitted. arXiv preprint, arXiv:2207.03838, 2022. [arXiv]
14. Huihui Cao, Hengguang Li, Nianyu Yi and Peimeng Yin*. An adaptive finite element method for two-dimensional elliptic equations with line Dirac sources. ,submitted. arXiv preprint, arXiv:2112.08565, 2021. [arXiv]
Refereed Journals
13. Yaoyao Chen, Yunqing Huang, Nianyu Yi and Peimeng Yin*. Recovery type a posteriori error estimation of adaptive finite element method for Cahn--Hilliard equation. Journal of Scientific Computing, 98(2):35, 2024. [PDF] [DOI] [arXiv]
12. C. Xu, A. Pfob, B. J. Mehrara, P. Yin, J. A. Nelson, E. G. Wilkins, A. L. Pusic and C. Sidey-Gibbons. Enhanced surgical decision-making tools in breast cancer: predicting 2-year postoperative physical, sexual, and psychosocial well-being following mastectomy and breast reconstruction (INSPiRED 004). Annals of Surgical Oncology, 30:7046–7059, 2023. [PDF] [DOI]
11. Hailiang Liu and Peimeng Yin. On the SAV-DG method for a class of fourth order gradient flows. Numerical Methods for Partial Differential Equations, 39(2):1185-1200, 2023. [PDF] [DOI] [arXiv]
10. Hengguang Li, Peimeng Yin* and Zhimin Zhang. A $C^0$ finite element method for the biharmonic problem with Navier boundary conditions in a polygonal domain. IMA Journal of Numerical Analysis, 43:1779-1801, 2023. [PDF] [DOI] [arXiv]
9. Hailiang Liu and Peimeng Yin*. High order unconditionally energy stable RKDG schemes for the Swift-Hohenberg equation. Journal of Computational and Applied Mathematics, 407:114015, 2022. [PDF] [DOI] [arXiv]
8. Hailiang Liu, Zhongming Wang, Peimeng Yin and Hui Yu. Positivity-preserving third order DG schemes for Poisson--Nernst--Planck equations. Journal of Computational Physics, 452:110777, 2022. [PDF] [DOI] [arXiv]
7. Hengguang Li, Xiang Wan, Peimeng Yin* and Lewei Zhao. Regularity and finite element approximation for two-dimensional elliptic equations with line Dirac sources. Journal of Computational and Applied Mathematics, 393:113518, 2021. [PDF] [DOI] [arXiv]
6. Hailiang Liu and Peimeng Yin*. Unconditionally energy stable DG schemes for the Cahn-Hilliard equation. Journal of Computational and Applied Mathematics, 390:113375, 2021. [PDF] [DOI] [arXiv]
5. Hailiang Liu, James Ralston and Peimeng Yin. General Superpositions of Gaussian beams and propagation error. Mathematics of Computation, 89:675-697, 2020. [PDF] [DOI] [arXiv]
4. Hailiang Liu and Peimeng Yin. Unconditionally energy stable DG schemes for the Swift-Hohenberg equation. Journal of Scientific Computing, 81(2):789–819, 2019. [PDF] [DOI] [arXiv]
3. Hailiang Liu and Peimeng Yin. A mixed discontinuous Galerkin method without interior penalty for time-dependent fourth order problems. Journal of Scientific Computing, 77:467-501, 2018. [PDF] [DOI] [arXiv]
2. Peimeng Yin, Yunqing Huang and Hailiang Liu. Error estimates for the iterative discontinuous Galerkin method to the nonlinear Poisson-Boltzmann equation. Communications in Computational Physics, 23:168-197, 2018. [PDF] [DOI]
1. Peimeng Yin, Yunqing Huang and Hailiang Liu. An iterative discontinuous Galerkin method for solving the nonlinear Poisson-Boltzmann equation. Communications in Computational Physics, 16:491-515, 2014. [PDF] [DOI]
Ph.D. Thesis
Peimeng Yin. Efficient discontinuous Galerkin (DG) methods for time-dependent fourth order problems. Graduate Theses and Dissertations. 17623. 2019. [PDF] [Link]