Low order Crouzeix-Raviart type nonconforming finite element methods for the 3D time-dependent Maxwell's equations. - Dongyang Shi; Lifang Pei (Appl. Math. Comput., 2009)

Nonconforming quadrilateral finite element method for a class of nonlinear sine-Gordon equations. - Dongyang Shi; Lifang Pei (Appl. Math. Comput., 2013)

A new error analysis of Bergan's energy-orthogonal element for a plate contact problem. - Lifang Pei; Dongyang Shi (Appl. Math. Lett., 2017)

Unconditional optimal error estimates of a modified finite element fully discrete scheme for the complex Ginzburg-Landau equation. - Chao Xu; Lifang Pei (Comput. Math. Appl., 2022)

A structure-preserving parametric finite element method for area-conserved generalized mean curvature flow. - Lifang Pei; Yifei Li 007 (CoRR, 2022)

A novel error analysis of nonconforming finite element for the clamped Kirchhoff plate with elastic unilateral obstacle. - Lifang Pei; Man Zhang; Meng Li (Networks Heterog. Media, 2023)

A Structure-Preserving Parametric Finite Element Method for Area-Conserved Generalized Curvature Flow. - Lifang Pei; Yifei Li 007 (J. Sci. Comput., 2023)

Dissipative nonconforming virtual element method for the fourth order nonlinear extended Fisher-Kolmogorov equation. - Lifang Pei; Chaofeng Zhang; Meng Li (Comput. Math. Appl., 2023)

Unconditional superconvergence analysis of two-grid nonconforming FEMs for the fourth order nonlinear extend Fisher-Kolmogorov equation. - Lifang Pei; Chaofeng Zhang; Dongyang Shi (Appl. Math. Comput., 2024)

Unconditional optimal H1-norm error estimate and superconvergence analysis of a linearized nonconforming finite element variable-time-step BDF2 method for the nonlinear complex Ginzburg-Landau equation. - Lifang Pei; Yifan Wei 002; Jiwei Zhang 017 (Commun. Nonlinear Sci. Numer. Simul., 2024)

Convergence and Superconvergence Analysis of a Nonconforming Finite Element Variable-Time-Step BDF2 Implicit Scheme for Linear Reaction-Diffusion Equations. - Lifang Pei; Yifan Wei 002; Chaofeng Zhang; Jiwei Zhang 001 (J. Sci. Comput., 2024)

Superconvergnce analysis of an energy-stable implicit scheme with variable time steps and anisotropic spatial nonconforming finite elements for the nonlinear Sobolev equations. - Lifang Pei; Ruixue Li; Jiwei Zhang 002; Yanmin Zhao (Comput. Math. Appl., 2025)

Optimal error estimations and superconvergence analysis of anisotropic FEMs with variable time steps for reaction-diffusion equations. - Lifang Pei; Chao Xu; Jiwei Zhang 002; Yanmin Zhao (J. Comput. Appl. Math., 2025)

An energy-stable high-accuracy anisotropic nonconforming FEM with variable time-steps for the nonlinear Allen-Cahn equation. - Song Yang; Ruixue Li; Sanying Feng; Lifang Pei (Commun. Nonlinear Sci. Numer. Simul., 2026)