Long Chen

Publication Activity (10 Years)

Years Active: 2004-2024
Publications (10 Years): 46

Top Topics

Error Estimates

Mesh Refinement

Top Venues

J. Sci. Comput.

SIAM J. Numer. Anal.

Publications

Shuhao Cao, Long Chen, Seulip Lee
Edge-averaged virtual element methods for convection-diffusion and convection-dominated problems. CoRR (2024)
Ruchi Guo, Shuhao Cao, Long Chen
Transformer Meets Boundary Value Inverse Problems. ICLR (2023)
Chunyu Chen, Long Chen, Xuehai Huang, Huayi Wei
Geometric Decomposition and Efficient Implementation of High Order Face and Edge Elements. CoRR (2023)
Long Chen, Xuehai Huang
Finite element de Rham and Stokes complexes in three dimensions. Math. Comput. 93 (345) (2023)
Long Chen, Xuehai Huang
A Mixed Finite Element Method for the Biharmonic Equation with Hybridization. CoRR (2023)
Long Chen, Ruchi Guo, Jun Zou
A Family of Immersed Finite Element Spaces and Applications to Three-Dimensional \(\bf{H}(\operatorname{curl})\) Interface Problems. SIAM J. Sci. Comput. 45 (6) (2023)
Long Chen, Xuehai Huang
A finite element elasticity complex in three dimensions. Math. Comput. 91 (337) (2022)
Shuhao Cao, Long Chen, Xuehai Huang
Error Analysis of a Decoupled Finite Element Method for Quad-Curl Problems. J. Sci. Comput. 90 (1) (2022)
Shuhao Cao, Long Chen, Ruchi Guo, Frank Lin
Immersed Virtual Element Methods for Elliptic Interface Problems in Two Dimensions. J. Sci. Comput. 93 (1) (2022)
Long Chen, Xuehai Huang
Finite Elements for div- and divdiv-Conforming Symmetric Tensors in Arbitrary Dimension. SIAM J. Numer. Anal. 60 (4) (2022)
Long Chen, Xuehai Huang
Finite Element de Rham and Stokes Complexes in Three Dimensions. CoRR (2022)
Long Chen, Xuehai Huang
Finite elements for div div conforming symmetric tensors in three dimensions. Math. Comput. 91 (335) (2022)
Hao Luo, Long Chen
From differential equation solvers to accelerated first-order methods for convex optimization. Math. Program. 195 (1) (2022)
Ruchi Guo, Shuhao Cao, Long Chen
Transformer Meets Boundary Value Inverse Problems. CoRR (2022)
Long Chen, Xuehai Huang
Complexes from Complexes: Finite Element Complexes in Three Dimensions. CoRR (2022)
Dongwu Wang, Bin Zheng, Long Chen, Guang Lin, Jinchao Xu
Block triangular preconditioning for stochastic Galerkin method. J. Comput. Appl. Math. 412 (2022)
Shuhao Cao, Long Chen, Ruchi Guo
Immersed Virtual Element Methods for Maxwell Interface Problems in Three Dimensions. CoRR (2022)
Long Chen, Xuehai Huang
Finite Element Complexes in Two Dimensions. CoRR (2022)
Long Chen, Ruchi Guo, Jun Zou
A family of immersed finite element spaces and applications to three dimensional H(curl) interface problems. CoRR (2022)
Shuhao Cao, Long Chen, Ruchi Guo, Frank Lin
Immersed Virtual Element Methods for Elliptic Interface Problems. CoRR (2021)
Shuhao Cao, Long Chen, Ruchi Guo
A Virtual Finite Element Method for Two Dimensional Maxwell Interface Problems with a Background Unfitted Mesh. CoRR (2021)
Long Chen, Xuehai Huang
Geometric decompositions of the simplicial lattice and smooth finite elements in arbitrary dimension. CoRR (2021)
Long Chen, Xuehai Huang
Geometric Decompositions of Div-Conforming Finite Element Tensors. CoRR (2021)
Shuhao Cao, Long Chen, Xuehai Huang
Error analysis of a decoupled finite element method for quad-curl problems. CoRR (2021)
Long Chen, Xuehai Huang
Finite elements for divdiv-conforming symmetric tensors in arbitrary dimension. CoRR (2021)
Long Chen, Xuehai Huang
A finite element elasticity complex in three dimensions. CoRR (2021)
Long Chen, Xuehai Huang
Finite elements for divdiv-conforming symmetric tensors. CoRR (2020)
Long Chen, Xuehai Huang
. Math. Comput. 89 (324) (2020)
Long Chen, Xuehai Huang
Finite elements for divdiv-conforming symmetric tensors in three dimensions. CoRR (2020)
Yingying Xie, Shuhao Cao, Long Chen, Liuqiang Zhong
Convergence and optimality of an adaptive modified weak Galerkin finite element method. CoRR (2020)
Long Chen, Xiaozhe Hu, Huiwen Wu
Randomized Fast Subspace Descent Methods. CoRR (2020)
Long Chen, Xuehai Huang
Discrete Hessian complexes in three dimensions. CoRR (2020)
Long Chen, Xiaozhe Hu, Steven M. Wise
Convergence analysis of the Fast Subspace Descent method for convex optimization problems. Math. Comput. 89 (325) (2020)
Shuhao Cao, Long Chen
Anisotropic Error Estimates of the Linear Nonconforming Virtual Element Methods. SIAM J. Numer. Anal. 57 (3) (2019)
Long Chen, Feng Wang
A Divergence Free Weak Virtual Element Method for the Stokes Problem on Polytopal Meshes. J. Sci. Comput. 78 (2) (2019)
Long Chen, Jun Hu, Xuehai Huang
Fast auxiliary space preconditioners for linear elasticity in mixed form. Math. Comput. 87 (312) (2018)
Long Chen, Jun Hu, Xuehai Huang
Multigrid Methods for Hellan-Herrmann-Johnson Mixed Method of Kirchhoff Plate Bending Problems. J. Sci. Comput. 76 (2) (2018)
Long Chen, Xuehai Huang
Decoupling of Mixed Methods Based on Generalized Helmholtz Decompositions. SIAM J. Numer. Anal. 56 (5) (2018)
Long Chen, Yongke Wu, Lin Zhong, Jie Zhou
MultiGrid Preconditioners for Mixed Finite Element Methods of the Vector Laplacian. J. Sci. Comput. 77 (1) (2018)
Jian Huang, Long Chen, Hongxing Rui
Multigrid Methods for a Mixed Finite Element Method of the Darcy-Forchheimer Model. J. Sci. Comput. 74 (1) (2018)
Shuhao Cao, Long Chen
Anisotropic Error Estimates of the Linear Virtual Element Method on Polygonal Meshes. SIAM J. Numer. Anal. 56 (5) (2018)
Long Chen, Huayi Wei, Min Wen
An interface-fitted mesh generator and virtual element methods for elliptic interface problems. J. Comput. Phys. 334 (2017)
Long Chen, Jun Hu, Xuehai Huang
Stabilized Mixed Finite Element Methods for Linear Elasticity on Simplicial Grids inℝn. Comput. Methods Appl. Math. 17 (1) (2017)
Bin Zheng, Luoping Chen, Xiaozhe Hu, Long Chen, Ricardo H. Nochetto, Jinchao Xu
Fast Multilevel Solvers for a Class of Discrete Fourth Order Parabolic Problems. J. Sci. Comput. 69 (1) (2016)
Wansheng Wang, Long Chen, Jie Zhou
Postprocessing Mixed Finite Element Methods For Solving Cahn-Hilliard Equation: Methods and Error Analysis. J. Sci. Comput. 67 (2) (2016)
Long Chen, Ricardo H. Nochetto, Enrique Otárola, Abner J. Salgado
Multilevel methods for nonuniformly elliptic operators and fractional diffusion. Math. Comput. 85 (302) (2016)
Long Chen, Junping Wang, Yanqiu Wang, Xiu Ye
An auxiliary space multigrid preconditioner for the weak Galerkin method. Comput. Math. Appl. 70 (4) (2015)
Long Chen
Multigrid methods for saddle point systems using constrained smoothers. Comput. Math. Appl. 70 (12) (2015)
James C. Hateley, Huayi Wei, Long Chen
Fast Methods for Computing Centroidal Voronoi Tessellations. J. Sci. Comput. 63 (1) (2015)
Long Chen, Ming Wang, Lin Zhong
Convergence Analysis of Triangular MAC Schemes for Two Dimensional Stokes Equations. J. Sci. Comput. 63 (3) (2015)
Long Chen, Ricardo H. Nochetto, Enrique Otárola, Abner J. Salgado
A PDE approach to fractional diffusion: A posteriori error analysis. J. Comput. Phys. 293 (2015)
Long Chen, Junping Wang, Xiu Ye
A Posteriori Error Estimates for Weak Galerkin Finite Element Methods for Second Order Elliptic Problems. J. Sci. Comput. 59 (2) (2014)
Huayi Wei, Long Chen, Yunqing Huang, Bin Zheng
Adaptive Mesh Refinement and Superconvergence for Two-Dimensional Interface Problems. SIAM J. Sci. Comput. 36 (4) (2014)
Long Chen
A simple construction of a Fortin operator for the two dimensional Taylor-Hood element. Comput. Math. Appl. 68 (10) (2014)
Ming Wang, Long Chen
Multigrid Methods for the Stokes Equations using Distributive Gauss-Seidel Relaxations based on the Least Squares Commutator. J. Sci. Comput. 56 (2) (2013)
Long Chen, Michael Holst, Jinchao Xu, Yunrong Zhu
Local multilevel preconditioners for elliptic equations with jump coefficients on bisection grids. Comput. Vis. Sci. 15 (5) (2012)
Liuqiang Zhong, Long Chen, Shi Shu, Gabriel Wittum, Jinchao Xu
Convergence and optimality of adaptive edge finite element methods for time-harmonic Maxwell equations. Math. Comput. 81 (278) (2012)
Long Chen, Ricardo H. Nochetto, Jinchao Xu
Optimal multilevel methods for graded bisection grids. Numerische Mathematik 120 (1) (2012)
Pengtao Sun, Long Chen, Jinchao Xu
Numerical Studies of Adaptive Finite Element Methods for Two Dimensional Convection-Dominated Problems. J. Sci. Comput. 43 (1) (2010)
Liuqiang Zhong, Shi Shu, Long Chen, Jinchao Xu
(curl)-elliptic problems. Numer. Linear Algebra Appl. 17 (2-3) (2010)
Huayi Wei, Long Chen, Yunqing Huang
Superconvergence and Gradient Recovery of Linear Finite Elements for the Laplace-Beltrami Operator on General Surfaces. SIAM J. Numer. Anal. 48 (5) (2010)
Long Chen
A New Class of High Order Finite Volume Methods for Second Order Elliptic Equations. SIAM J. Numer. Anal. 47 (6) (2010)
Long Chen, Michael J. Holst, Jinchao Xu
Convergence and optimality of adaptive mixed finite element methods. Math. Comput. 78 (265) (2009)
Long Chen, Jinchao Xu
Stability and accuracy of adapted finite element methods for singularly perturbed problems. Numerische Mathematik 109 (2) (2008)
Long Chen, Pengtao Sun, Jinchao Xu
-norm. Math. Comput. 76 (257) (2007)
Long Chen, Michael J. Holst, Jinchao Xu
The Finite Element Approximation of the Nonlinear Poisson-Boltzmann Equation. SIAM J. Numer. Anal. 45 (6) (2007)
Long Chen
New analysis of the sphere covering problems and optimal polytope approximation of convex bodies. J. Approx. Theory 133 (1) (2005)
Long Chen
Mesh Smoothing Schemes Based on Optimal Delaunay Triangulations. IMR (2004)