A Weak Galerkin Finite Element Scheme for the Biharmonic Equations by Using Polynomials of Reduced Order. - Ran Zhang 002; Qilong Zhai (J. Sci. Comput., 2015)

A weak Galerkin finite element scheme for solving the stationary Stokes equations. - Ruishu Wang; Xiaoshen Wang; Qilong Zhai; Ran Zhang 002 (J. Comput. Appl. Math., 2016)

The weak Galerkin method for solving the incompressible Brinkman flow. - Xiuli Wang; Qilong Zhai; Ran Zhang 002 (J. Comput. Appl. Math., 2016)

A weak Galerkin finite element scheme with boundary continuity for second-order elliptic problems. - Qilong Zhai; Xiu Ye; Ruishu Wang; Ran Zhang 002 (Comput. Math. Appl., 2017)

An absolutely stable weak Galerkin finite element method for the Darcy-Stokes problem. - Xiuli Wang; Qilong Zhai; Ruishu Wang; Rabeea Jari (Appl. Math. Comput., 2018)

A new modified weak Galerkin finite element scheme for solving the stationary Stokes equations. - Tian Tian; Qilong Zhai; Ran Zhang 002 (J. Comput. Appl. Math., 2018)

Discrete maximum principle for the P1 - P0 weak Galerkin finite element approximations. - Junping Wang; Xiu Ye; Qilong Zhai; Ran Zhang 002 (J. Comput. Phys., 2018)

A Systematic Study on Weak Galerkin Finite Element Methods for Second Order Elliptic Problems. - Junping Wang; Ruishu Wang; Qilong Zhai; Ran Zhang 002 (J. Sci. Comput., 2018)

Acceleration of Weak Galerkin Methods for the Laplacian Eigenvalue Problem. - Qilong Zhai; Hehu Xie; Ran Zhang 002; Zhimin Zhang 002 (J. Sci. Comput., 2019)

A weak Galerkin finite element scheme for the Cahn-Hilliard equation. - Junping Wang; Qilong Zhai; Ran Zhang 002; Shangyou Zhang (Math. Comput., 2019)

An effective implementation for Stokes Equation by the weak Galerkin finite element method. - Xiuli Wang; Yongkui Zou; Qilong Zhai (J. Comput. Appl. Math., 2020)

A symmetric weak Galerkin method for solving non-divergence form elliptic equations. - Qilong Zhai; Tian Tian; Ran Zhang 002; Shangyou Zhang (J. Comput. Appl. Math., 2020)

A Skeletal Finite Element Method Can Compute Lower Eigenvalue Bounds. - Carsten Carstensen; Qilong Zhai; Ran Zhang 002 (SIAM J. Numer. Anal., 2020)

A weak Galerkin-mixed finite element method for the Stokes-Darcy problem. - Hui Peng; Qilong Zhai; Ran Zhang 002; Shangyou Zhang (CoRR, 2021)

The weak Galerkin finite element method for Stokes interface problems with curved interface. - Lin Yang; Hui Peng; Qilong Zhai; Ran Zhang 002 (CoRR, 2022)

The weak Galerkin finite element method for the Steklov eigenvalue problem. - Shusheng Li; Qilong Zhai (CoRR, 2023)

Weak Galerkin methods for the Stokes eigenvalue problem. - Yunying Fan; Qilong Zhai (CoRR, 2023)

The stabilizer free weak Galerkin mixed finite elements method for the biharmonic equation. - Shanshan Gu; Qilong Zhai (CoRR, 2023)

A locking-free mixed enriched Galerkin method of arbitrary order for linear elasticity using the stress-displacement formulation. - Hui Peng; Qilong Zhai; Qian Zhang 025; Zhongshu Zhao (Appl. Math. Lett., 2024)

The stabilizer-free weak Galerkin finite element method for the Biharmonic equation using polynomials of reduced order. - Shanshan Gu; Qilong Zhai (CoRR, 2024)

A stabilizer free weak Galerkin method with implicit θ-schemes for fourth order parabolic problems. - Shanshan Gu; Qilong Zhai (CoRR, 2024)

A weak Galerkin finite element method for solving the asymptotic lower bound of Maxwell eigenvalue problem. - Shusheng Li; Qilong Zhai (CoRR, 2024)

Convergence analysis of a weak Galerkin finite element method on a Bakhvalov-type mesh for a singularly perturbed convection-diffusion equation in 2D. - Shicheng Liu; Xiangyun Meng; Qilong Zhai (CoRR, 2024)

The pressure-robust weak Galerkin finite element method for Stokes-Darcy problem. - Jiwei Jia; Lin Yang; Qilong Zhai (CoRR, 2024)

The Immersed Weak Galerkin and Continuous Galerkin Finite Element Method for Elliptic Interface Problem. - Lin Yang; Qilong Zhai (CoRR, 2024)

A conforming discontinuous Galerkin finite element method for Brinkman equations. - Haoning Dang; Qilong Zhai; Zhongshu Zhao (J. Comput. Appl. Math., 2024)

Convergence analysis of a weak Galerkin finite element method on a Shishkin mesh for a singularly perturbed fourth-order problem in 2D. - Shicheng Liu; Xiangyun Meng; Qilong Zhai (J. Comput. Appl. Math., 2025)

A Nonconforming Finite Element Method for the Quad-Curl Hodge-Laplacian Problem in Two Dimensions. - Siyuan Tong; Qilong Zhai; Qian Zhang 025 (J. Sci. Comput., 2025)

The Weak Galerkin and Crouzeix-Raviart element method for elastic eigenvalue problems. - Wei Lu; Hehu Xie; Qilong Zhai (CoRR, 2025)

The two-grid weak Galerkin method and enriched Crouzeix-Raviart element method for linear elastic eigenvalue problems. - Wei Lu; Qilong Zhai (CoRR, 2025)