Mesh Smoothing Schemes Based on Optimal Delaunay Triangulations. - Long Chen 002 (IMR, 2004)

New analysis of the sphere covering problems and optimal polytope approximation of convex bodies. - Long Chen 002 (J. Approx. Theory, 2005)

Optimal anisotropic meshes for minimizing interpolation errors in Lp-norm. - Long Chen 002; Pengtao Sun; Jinchao Xu (Math. Comput., 2007)

The Finite Element Approximation of the Nonlinear Poisson-Boltzmann Equation. - Long Chen 002; Michael J. Holst; Jinchao Xu (SIAM J. Numer. Anal., 2007)

Stability and accuracy of adapted finite element methods for singularly perturbed problems. - Long Chen 002; Jinchao Xu (Numerische Mathematik, 2008)

Convergence and optimality of adaptive mixed finite element methods. - Long Chen 002; Michael J. Holst; Jinchao Xu (Math. Comput., 2009)

Numerical Studies of Adaptive Finite Element Methods for Two Dimensional Convection-Dominated Problems. - Pengtao Sun; Long Chen 002; Jinchao Xu (J. Sci. Comput., 2010)

Convergence of adaptive edge finite element methods for H(curl)-elliptic problems. - Liuqiang Zhong; Shi Shu; Long Chen 002; Jinchao Xu (Numer. Linear Algebra Appl., 2010)

A New Class of High Order Finite Volume Methods for Second Order Elliptic Equations. - Long Chen 002 (SIAM J. Numer. Anal., 2010)

Superconvergence and Gradient Recovery of Linear Finite Elements for the Laplace-Beltrami Operator on General Surfaces. - Huayi Wei; Long Chen 002; Yunqing Huang (SIAM J. Numer. Anal., 2010)

Local multilevel preconditioners for elliptic equations with jump coefficients on bisection grids. - Long Chen 002; Michael J. Holst; Jinchao Xu; Yunrong Zhu (Comput. Vis. Sci., 2012)

Convergence and optimality of adaptive edge finite element methods for time-harmonic Maxwell equations. - Liuqiang Zhong; Long Chen 002; Shi Shu; Gabriel Wittum; Jinchao Xu (Math. Comput., 2012)

Optimal multilevel methods for graded bisection grids. - Long Chen 002; Ricardo H. Nochetto; Jinchao Xu (Numerische Mathematik, 2012)

Multigrid Methods for the Stokes Equations using Distributive Gauss-Seidel Relaxations based on the Least Squares Commutator. - Ming Wang; Long Chen 002 (J. Sci. Comput., 2013)

Equidistribution and Optimal Approximation Class. - Constantin Bacuta; Long Chen 002; Jinchao Xu (Domain Decomposition Methods in Science and Engineering XX, 2013)

A simple construction of a Fortin operator for the two dimensional Taylor-Hood element. - Long Chen 002 (Comput. Math. Appl., 2014)

A Posteriori Error Estimates for Weak Galerkin Finite Element Methods for Second Order Elliptic Problems. - Long Chen 002; Junping Wang; Xiu Ye (J. Sci. Comput., 2014)

Two-Grid Methods for Maxwell Eigenvalue Problems. - Jie Zhou; Xiaozhe Hu; Liuqiang Zhong; Shi Shu; Long Chen 002 (SIAM J. Numer. Anal., 2014)

Adaptive Mesh Refinement and Superconvergence for Two-Dimensional Interface Problems. - Huayi Wei; Long Chen 002; Yunqing Huang; Bin Zheng (SIAM J. Sci. Comput., 2014)

Multigrid methods for saddle point systems using constrained smoothers. - Long Chen 002 (Comput. Math. Appl., 2015)

An auxiliary space multigrid preconditioner for the weak Galerkin method. - Long Chen 002; Junping Wang; Yanqiu Wang; Xiu Ye (Comput. Math. Appl., 2015)

A PDE approach to fractional diffusion: A posteriori error analysis. - Long Chen 002; Ricardo H. Nochetto; Enrique Otárola; Abner J. Salgado (J. Comput. Phys., 2015)

Convergence Analysis of Triangular MAC Schemes for Two Dimensional Stokes Equations. - Long Chen 002; Ming Wang; Lin Zhong (J. Sci. Comput., 2015)

Fast Methods for Computing Centroidal Voronoi Tessellations. - James C. Hateley; Huayi Wei; Long Chen 002 (J. Sci. Comput., 2015)

Postprocessing Mixed Finite Element Methods For Solving Cahn-Hilliard Equation: Methods and Error Analysis. - Wansheng Wang; Long Chen 002; Jie Zhou (J. Sci. Comput., 2016)

Fast Multilevel Solvers for a Class of Discrete Fourth Order Parabolic Problems. - Bin Zheng; Luoping Chen; Xiaozhe Hu; Long Chen 002; Ricardo H. Nochetto; Jinchao Xu (J. Sci. Comput., 2016)

Multilevel methods for nonuniformly elliptic operators and fractional diffusion. - Long Chen 002; Ricardo H. Nochetto; Enrique Otárola; Abner J. Salgado (Math. Comput., 2016)

Stabilized Mixed Finite Element Methods for Linear Elasticity on Simplicial Grids inℝn. - Long Chen 002; Jun Hu 013; Xuehai Huang (Comput. Methods Appl. Math., 2017)

An interface-fitted mesh generator and virtual element methods for elliptic interface problems. - Long Chen 002; Huayi Wei; Min Wen (J. Comput. Phys., 2017)

Multigrid Methods for Hellan-Herrmann-Johnson Mixed Method of Kirchhoff Plate Bending Problems. - Long Chen 002; Jun Hu 013; Xuehai Huang (J. Sci. Comput., 2018)

MultiGrid Preconditioners for Mixed Finite Element Methods of the Vector Laplacian. - Long Chen 002; Yongke Wu; Lin Zhong; Jie Zhou (J. Sci. Comput., 2018)

Multigrid Methods for a Mixed Finite Element Method of the Darcy-Forchheimer Model. - Jian Huang; Long Chen 002; Hongxing Rui (J. Sci. Comput., 2018)

Fast auxiliary space preconditioners for linear elasticity in mixed form. - Long Chen 002; Jun Hu 013; Xuehai Huang (Math. Comput., 2018)

Anisotropic Error Estimates of the Linear Virtual Element Method on Polygonal Meshes. - Shuhao Cao; Long Chen 002 (SIAM J. Numer. Anal., 2018)

Decoupling of Mixed Methods Based on Generalized Helmholtz Decompositions. - Long Chen 002; Xuehai Huang (SIAM J. Numer. Anal., 2018)

A Divergence Free Weak Virtual Element Method for the Stokes Problem on Polytopal Meshes. - Long Chen 002; Feng Wang 030 (J. Sci. Comput., 2019)

Anisotropic Error Estimates of the Linear Nonconforming Virtual Element Methods. - Shuhao Cao; Long Chen 002 (SIAM J. Numer. Anal., 2019)

Finite elements for divdiv-conforming symmetric tensors. - Long Chen 002; Xuehai Huang (CoRR, 2020)

Randomized Fast Subspace Descent Methods. - Long Chen 002; Xiaozhe Hu; Huiwen Wu (CoRR, 2020)

Finite elements for divdiv-conforming symmetric tensors in three dimensions. - Long Chen 002; Xuehai Huang (CoRR, 2020)

Convergence and optimality of an adaptive modified weak Galerkin finite element method. - Yingying Xie; Shuhao Cao; Long Chen 002; Liuqiang Zhong (CoRR, 2020)

Discrete Hessian complexes in three dimensions. - Long Chen 002; Xuehai Huang (CoRR, 2020)

Nonconforming Virtual Element Method for 2mth Order Partial Differential Equations in ℝn. - Long Chen 002; Xuehai Huang (Math. Comput., 2020)

Convergence analysis of the Fast Subspace Descent method for convex optimization problems. - Long Chen 002; Xiaozhe Hu; Steven M. Wise (Math. Comput., 2020)

A Virtual Finite Element Method for Two Dimensional Maxwell Interface Problems with a Background Unfitted Mesh. - Shuhao Cao; Long Chen 002; Ruchi Guo (CoRR, 2021)

Finite elements for divdiv-conforming symmetric tensors in arbitrary dimension. - Long Chen 002; Xuehai Huang (CoRR, 2021)

Immersed Virtual Element Methods for Elliptic Interface Problems. - Shuhao Cao; Long Chen 002; Ruchi Guo; Frank Lin (CoRR, 2021)

Geometric decompositions of the simplicial lattice and smooth finite elements in arbitrary dimension. - Long Chen 002; Xuehai Huang (CoRR, 2021)

Geometric Decompositions of Div-Conforming Finite Element Tensors. - Long Chen 002; Xuehai Huang (CoRR, 2021)

Immersed Virtual Element Methods for Maxwell Interface Problems in Three Dimensions. - Shuhao Cao; Long Chen 002; Ruchi Guo (CoRR, 2022)

A family of immersed finite element spaces and applications to three dimensional H(curl) interface problems. - Long Chen 002; Ruchi Guo; Jun Zou 003 (CoRR, 2022)

Finite Element Complexes in Two Dimensions. - Long Chen 002; Xuehai Huang (CoRR, 2022)

Complexes from Complexes: Finite Element Complexes in Three Dimensions. - Long Chen 002; Xuehai Huang (CoRR, 2022)

Block triangular preconditioning for stochastic Galerkin method. - Dongwu Wang; Bin Zheng; Long Chen 002; Guang Lin 001; Jinchao Xu (J. Comput. Appl. Math., 2022)

Immersed Virtual Element Methods for Elliptic Interface Problems in Two Dimensions. - Shuhao Cao; Long Chen 002; Ruchi Guo; Frank Lin (J. Sci. Comput., 2022)

Error Analysis of a Decoupled Finite Element Method for Quad-Curl Problems. - Shuhao Cao; Long Chen 002; Xuehai Huang (J. Sci. Comput., 2022)

Finite elements for div div conforming symmetric tensors in three dimensions. - Long Chen 002; Xuehai Huang (Math. Comput., 2022)

A finite element elasticity complex in three dimensions. - Long Chen 002; Xuehai Huang (Math. Comput., 2022)

From differential equation solvers to accelerated first-order methods for convex optimization. - Hao Luo; Long Chen 002 (Math. Program., 2022)

Finite Elements for div- and divdiv-Conforming Symmetric Tensors in Arbitrary Dimension. - Long Chen 002; Xuehai Huang (SIAM J. Numer. Anal., 2022)

Transformer Meets Boundary Value Inverse Problems. - Ruchi Guo; Shuhao Cao; Long Chen 002 (ICLR, 2023)

A Mixed Finite Element Method for the Biharmonic Equation with Hybridization. - Long Chen 002; Xuehai Huang (CoRR, 2023)

Geometric Decomposition and Efficient Implementation of High Order Face and Edge Elements. - Chunyu Chen; Long Chen 002; Xuehai Huang; Huayi Wei (CoRR, 2023)

Finite element de Rham and Stokes complexes in three dimensions. - Long Chen 002; Xuehai Huang (Math. Comput., 2023)

A Family of Immersed Finite Element Spaces and Applications to Three-Dimensional ( bf{H}( operatorname{curl}) ) Interface Problems. - Long Chen 002; Ruchi Guo; Jun Zou 003 (SIAM J. Sci. Comput., 2023)

Edge-averaged virtual element methods for convection-diffusion and convection-dominated problems. - Shuhao Cao; Long Chen 002; Seulip Lee (CoRR, 2024)

Tangential-Normal Decompositions of Finite Element Differential Forms. - Long Chen 002; Xuehai Huang (CoRR, 2024)

A new div-div-conforming symmetric tensor finite element space with applications to the biharmonic equation. - Long Chen 002; Xuehai Huang (Math. Comput., 2024)

Distributional Finite Element curl div Complexes and Application to Quad Curl Problems. - Long Chen 002; Xuehai Huang; Chao Zhang (SIAM J. Numer. Anal., 2025)

Implementation and Basis Construction for Smooth Finite Element Spaces. - Chunyu Chen; Long Chen 002; Tingyi Gao; Xuehai Huang; Huayi Wei (CoRR, 2025)