Peimeng Yin

Department of Mathematics | Iowa State University


Preprints


13. Hengguang Li and Peimeng Yin. A $C^0$ finite element method for the six order problem with the simply supported boundary conditions in a polygonal domain. , preprint, 2021.

12. Hengguang Li and Peimeng Yin. Optimal high-order $C^0$ finite element method for the biharmonic problem with the hinged boundary condition. , preprint, 2021.

11. Hailiang Liu, Zhongming Wang, Peimeng Yin and Hui Yu. Positivity-preserving third order DG schemes for Poisson--Nernst--Planck equations. , submitted. arXiv preprint, arXiv:2102.00101, 2021. [arXiv]

10. Hailiang Liu and Peimeng Yin. Energy stable Runge-Kutta discontinuous Galerkin schemes for a class of fourth order gradient flows. , submitted, arXiv preprint, arXiv:2101.00152, 2021. [arXiv]

9. Hailiang Liu and Peimeng Yin. On the SAV-DG method for a class of fourth order gradient flows. , submitted. arXiv preprint, arXiv:2008.11877, 2020. [arXiv]

8. 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. ,, arXiv:2012.12374, 2021. [arXiv]


Journal publications


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]

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]

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]

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]

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]

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]