A Mixed Discontinuous Galerkin Method Without Interior Penalty for Time-Dependent Fourth Order Problems. - Hailiang Liu; Peimeng Yin (J. Sci. Comput., 2018)

Unconditionally Energy Stable DG Schemes for the Swift-Hohenberg Equation. - Hailiang Liu; Peimeng Yin (J. Sci. Comput., 2019)

On the SAV-DG method for a class of fourth order gradient flows. - Hailiang Liu; Peimeng Yin (CoRR, 2020)

A C0 finite element method for the biharmonic problem with Navier boundary conditions in a polygonal domain. - Hengguang Li; Peimeng Yin; Zhimin Zhang 008 (CoRR, 2020)

General superpositions of Gaussian beams and propagation errors. - Hailiang Liu; James Ralston; Peimeng Yin (Math. Comput., 2020)

Energy stable Runge-Kutta discontinuous Galerkin schemes for fourth order gradient flows. - Hailiang Liu; Peimeng Yin (CoRR, 2021)

An adaptive finite element method for two-dimensional elliptic equations with line Dirac sources. - Huihui Cao; Hengguang Li; Nianyu Yi; Peimeng Yin (CoRR, 2021)

Regularity and finite element approximation for two-dimensional elliptic equations with line Dirac sources. - Hengguang Li; Xiang Wan; Peimeng Yin; Lewei Zhao (J. Comput. Appl. Math., 2021)

Unconditionally energy stable discontinuous Galerkin schemes for the Cahn-Hilliard equation. - Hailiang Liu; Peimeng Yin (J. Comput. Appl. Math., 2021)

A C0 finite element method for the biharmonic problem with Dirichlet boundary conditions in a polygonal domain. - Hengguang Li; Charuka D. Wickramasinghe; Peimeng Yin (CoRR, 2022)

High order unconditionally energy stable RKDG schemes for the Swift-Hohenberg equation. - Hailiang Liu; Peimeng Yin (J. Comput. Appl. Math., 2022)

Positivity-preserving third order DG schemes for Poisson-Nernst-Planck equations. - Hailiang Liu; Zhongming Wang; Peimeng Yin; Hui Yu (J. Comput. Phys., 2022)

A C0 finite element algorithm for the sixth order problem with simply supported boundary conditions. - Hengguang Li; Peimeng Yin (CoRR, 2023)

A semi-implicit dynamical low-rank discontinuous Galerkin method for space homogeneous kinetic equations. Part I: emission and absorption. - Peimeng Yin; Eirik Endeve; Cory D. Hauck; Stefan R. Schnake (CoRR, 2023)

A conservative relaxation Crank-Nicolson finite element method for the Schrödinger-Poisson equation. - Huini Liu; Nianyu Yi; Peimeng Yin (CoRR, 2024)

A posteriori error estimators for fourth order elliptic problems with concentrated loads. - Huihui Cao; Yunqing Huang; Nianyu Yi; Peimeng Yin (CoRR, 2024)

Unconditional energy stable IEQ-FEMs for the Cahn-Hilliard-Navier-Stokes equations. - Yaoyao Chen; Dongqian Li; Yin Yang; Peimeng Yin (CoRR, 2024)

Recovery Type a Posteriori Error Estimation of an Adaptive Finite Element Method for Cahn-Hilliard Equation. - Yaoyao Chen; Yunqing Huang; Nianyu Yi; Peimeng Yin (J. Sci. Comput., 2024)

Regularity and an adaptive finite element method for elliptic equations with Dirac sources on line cracks. - Huihui Cao; Hengguang Li; Nianyu Yi; Peimeng Yin (J. Comput. Appl. Math., 2025)

An efficient adaptive algorithm for photon-electron coupled Boltzmann equation in radiation therapy. - Xilin Zhang; Peimeng Yin; Xue Hong; Wei Wu; Wangyao Li; Yuxin Wang; Yan Xu 008; Hao Gao (J. Comput. Phys., 2025)

A second-order dynamical low-rank mass-lumped finite element method for the Allen-Cahn equation. - Jun Yang; Nianyu Yi; Peimeng Yin (CoRR, 2025)

Neural network-enhanced hr-adaptive finite element algorithm for parabolic equations. - Jiaxiong Hao; Yunqing Huang; Nianyu Yi; Peimeng Yin (CoRR, 2025)

A positivity-preserving hybrid DDG method for Poisson-Nernst-Planck systems. - Hailiang Liu; Zhongming Wang; Peimeng Yin (CoRR, 2025)

Unconditionally energy stable IEQ-FEMs for the Cahn-Hilliard equation and Allen-Cahn equation. - Yaoyao Chen; Hailiang Liu; Nianyu Yi; Peimeng Yin (Numer. Algorithms, 2025)