## Preprints and Publications

**2020**

**Peimeng Yin**. On the high order IEQ-DG method for a class of fourth order gradient flows.

*,*In prepration.

[10] Hengguang Li,

**Peimeng Yin**and Zhimin Zhang. High order $C^0$ finite element method for the biharmonic problem with Navier boundary conditions in a polygonal domain.

*,*preprint.

[9] 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.

*,*preprint.

[8] Hailiang Liu and

**Peimeng Yin**. On the SAV-DG method for a class of fourth order gradient flows.

*Numerical Methods for Partial Differential Equations,*submitted.

[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,*submitted.

[6] Hailiang Liu and

**Peimeng Yin***. Unconditionally energy stable DG schemes for the Cahn-Hilliard equation.

*Computer Methods in Applied Mechanics and Engineering,*submitted.

[5] Hailiang Liu, James Ralston and

**Peimeng Yin**. General Superpositions of Gaussian beams and propagation error.

*Mathematics of Computation, 89 (2020), pp. 675-697*.

**2019**

**Peimeng Yin**. Unconditionally energy stable DG schemes for the Swift-Hohenberg equation.

*Journal of Scientific Computing, 81-2 (2019), pp. 789–819*.

**2018**

**Peimeng Yin**. A mixed discontinuous Galerkin method without interior penalty for time-dependent fourth order problems.

*Journal of Scientific Computing, 77 (2018), pp. 467-501*.

[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 (2018), pp. 168-197*.

**2014**

**Peimeng Yin**, Yunqing Huang and Hailiang Liu. An iterative discontinuous Galerkin method for solving the nonlinear Poisson-Boltzmann equation.

*Communications in Computational Physics, 16 (2014), pp. 491-515*.