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• Unified a Priori Error Estimate and a Posteriori Error Estimate of CIP-FEM for Elliptic Equations

  Jianye Wang, Rui Ma

  2018-05-05

  42093 2998 Pages:517-535

• Pointwise Goal-Oriented a Posteriori Error Estimates Using Dual Problems with Dirac Delta Source Terms for Linear Elliptic Problems

  Fei Li, Jingang Liu, Nianyu Yi, Liuqiang Zhong

  2025-10-14

  4486 264 Pages:222-241

• Error Estimates of the Classical and Improved Two-Grid Methods

  Weifeng Zhang, Jinchao Xu, Liuqiang Zhong

  2018-09-17

  48652 3471 Pages:785-796

• Adaptive Finite Element Method for Simulating Graphene Surface Plasmon Resonance

  Jingrun Chen, Xuhong Liu, Jiangqiong Mao, Wei Yang

  2025-10-14

  4592 296 Pages:11-36

• A Posteriori Error Analysis of Any Order Finite Volume Methods for Elliptic Problems

  Yuanyuan Zhang, Min Yang

  2020-01-17

  45129 3229 Pages:564-578

• Unconditional Optimal Error Estimates for the Transient Navier-Stokes Equations with Damping

  Minghao Li, Zhenzhen Li, Dongyang Shi

  2021-11-18

  47685 4241 Pages:248-274

• The Nonconforming Finite Element Methods for Two Transmission Eigenvalue Problems in Inverse Scattering

  Lingling Sun, Hai Bi, Yidu Yang

  2025-10-14

  4650 266 Pages:37-66

• Finite Volume Element Method for a Nonlinear Parabolic Equation

  Yanwei Du, Yonghai Li

  2025-03-14

  11085 765 Pages:681-705

• Error Estimate and Superconvergence of a High-Accuracy Difference Scheme for Solving Parabolic Equations with an Integral Two-Space-Variables Condition

  Liping Zhou, Shi Shu, Haiyuan Yu

  2018-09-17

  43913 3154 Pages:362-389

• Gradient Recovery-Type a Posteriori Error Estimates for Steady-State Poisson-Nernst-Planck Equations

  Ruigang Shen, Shi Shu, Ying Yang, Mingjuan Fang

  2021-07-01

  48478 4151 Pages:1353-1383

• Cell Conservative Flux Recovery and a Posteriori Error Estimate of Vertex-Centered Finite Volume Methods

  Long Chen, Ming Wang

  2013-05-01

  42845 4107 Pages:705-727

• A Type of Cascadic Adaptive Finite Element Method for Eigenvalue Problem

  Fei Xu, Qiumei Huang, Shuangshuang Chen, Hongkun Ma

  2020-04-10

  44804 3231 Pages:774-796

• Error Estimate of a Second Order Accurate Scalar Auxiliary Variable (SAV) Numerical Method for the Epitaxial Thin Film Equation

  Qing Cheng, Cheng Wang

  2021-11-17

  118609 5935 Pages:1318-1354

• Optimal Error Estimate of the Penalty FEM for the Stationary Conduction-Convection Problems

  Yanfang Lei, Hongtao Wang, Zhiyong Si

  2018-09-17

  42995 2894 Pages:767-784

• Efficient Stochastic Runge-Kutta Methods for Stochastic Differential Equations with Small Noises

  Xiao Tang, Aiguo Xiao

  2018-09-17

  46877 3475 Pages:845-878

• Error Estimates for Finite Element Approximation to Elliptic Optimal Control Problems with Boundary Observations in $H^{-\frac{1}{2}}(\Gamma)$

  Xuelin Tao

  2024-07-22

  25720 2302 Pages:1152-1175

• Shape Analysis and Solution to a Class of Nonlinear Wave Equation with Cubic Term

  Xiang Li, Weiguo Zhang, Yan Zhao

  2012-04-01

  41348 4248 Pages:559-574

• An Adaptive Time and Space Discretization Approach for Simulating Unsteady Navier-Stokes Flows

  Biao Peng, Chunhua Zhou, Junqiang Ai

  2019-01-11

  44173 3108 Pages:406-427

• A Posteriori Error Estimate for Stabilized Low-Order Mixed FEM for the Stokes Equations

  Yinnian He, Cong Xie, Haibiao Zheng

  2021-07-01

  39423 3972 Pages:798-809

• Explicit, Monotone and Structure-Preserving Finite Difference Methods for Fisher-Kolmogorov-Petrovsky-Piscounov Equation and Allen-Cahn Equation

  Yuxin Liang, Dingwen Deng

  2025-10-29

  4519 126 Pages:450-481

• Superconvergence Error Estimate of the Bilinear-Constant Scheme for the Stokes Equations with Damping

  Huaijun Yang, Lele Wang, Xin Liao

  2024-11-01

  15169 1359 Pages:1502-1518

• A Primal-Dual Discontinuous Galerkin Finite Element Method for Ill-Posed Elliptic Cauchy Problems

  Yanli Chen, Tie Zhang, Ying Sheng

  2024-05-14

  24827 2414 Pages:860-877

• A High-Accuracy Mechanical Quadrature Method for Solving the Axisymmetric Poisson's Equation

  Hu Li, Jin Huang

  2018-05-05

  41914 2908 Pages:393-406

• A Mortar Method Using Nonconforming and Mixed Finite Elements for the Coupled Stokes-Darcy Model

  Peiqi Huang, Jinru Chen, Mingchao Cai

  2018-08-04

  41731 3059 Pages:596-620

• An Efficient and Unconditionally Convergent Galerkin Finite Element Method for the Nonlinear Schrödinger Equation in High Dimensions

  Yue Cheng, Tingchun Wang, Boling Guo

  2021-04-13

  62832 4037 Pages:735-760

• Quadratic Finite Volume Method for a Nonlinear Elliptic Problem

  Yanwei Du, Yonghai Li, Zhiqiang Sheng

  2019-06-24

  43759 3175 Pages:838-869

• A Weak Galerkin Finite Element Method for a $H({\rm curl})$-Elliptic Problem

  Jie Peng, Yingying Xie, Yage Xu, Liuqiang Zhong

  2025-07-19

  7479 454 Pages:1411-1429