Search Results

• High Moment and Pathwise Error Estimates for Fully Discrete Mixed Finite Element Approximations of Stochastic Navier-Stokes Equations with Additive Noise

  Xiaobing Feng, Liet Vo

  2024-10-09

  DOI:10.4208/cicp.OA-2023-0234

  15372 1244 pp. 821-849

• Error Estimates for the Iterative Discontinuous Galerkin Method to the Nonlinear Poisson-Boltzmann Equation

  Peimeng Yin, Yunqing Huang, Hailiang Liu

  2018-07-03

  DOI:10.4208/cicp.OA-2016-0226

  46428 5094 pp. 168-197

• Recursive POD Expansion for the Advection-Diffusion-Reaction Equation

  M. Azaiez, T. Chacon Rebollo, E. Perracchione, J. M. Vega

  2018-09-17

  DOI:10.4208/cicp.OA-2017-0257

  44603 4776 pp. 1556-1578 Open Access

• The a Priori and a Posteriori Error Estimates for Modified Interior Transmission Eigenvalue Problem in Inverse Scattering

  Yanjun Li, Yidu Yang, Hai Bi

  2023-09-04

  DOI:10.4208/cicp.OA-2023-0124

  34822 2752 pp. 503-529

• Do We Need Decay-Preserving Error Estimate for Solving Parabolic Equations with Initial Singularity?

  Jiwei Zhang, Zhimin Zhang, Chengchao Zhao

  2026-01-18

  DOI:10.4208/cicp.OA-2025-0130

  797 159 pp. 1027-1058

• A Numerical Analysis of the Weak Galerkin Method for the Helmholtz Equation with High Wave Number

  Yu Du, Zhimin Zhang

  2019-10-31

  DOI:10.4208/cicp.OA-2016-0121

  42000 4919 pp. 133-156

• A Coupled High-Order Continuous and Discontinuous Galerkin Finite Element Scheme for the Davey-Stewartson System

  Jinyang Lu, Qi Tao, Yan Xu

  2025-04-27

  DOI:10.4208/cicp.OA-2022-0299

  9635 584 pp. 975-1007

• Error Analysis of the Plane Wave Discontinuous Galerkin Method for Maxwell's Equations in Anisotropic Media

  Long Yuan, Qiya Hu

  2019-01-10

  DOI:10.4208/cicp.OA-2018-0104

  46408 3907 pp. 1496-1522

• A Posteriori Error Estimates of Discontinuous Streamline Diffusion Methods for Transport Equations

  Juan Sun, Zhaojie Zhou, Huipo Liu

  2018-09-17

  DOI:10.4208/cicp.OA-2017-0120

  44697 3636 pp. 1355-1374

• Optimal Error Estimates of a Linearized Crank-Nicolson Galerkin FEM for the Kuramoto-Tsuzuki Equations

  Dongfang Li, Waixiang Cao, Chengjian Zhang, Zhimin Zhang

  2019-04-28

  DOI:10.4208/cicp.OA-2018-0208

  48716 3392 pp. 838-854

• The Stability and Convergence of Fully Discrete Galerkin-Galerkin FEMs for Porous Medium Flows

  Buyang Li, Jilu Wang, Weiwei Sun

  2020-07-31

  DOI:10.4208/cicp.080313.051213s

  42559 4374 pp. 1141-1158

• Optimal Error Estimates of Compact Finite Difference Discretizations for the Schrödinger-Poisson System

  Yong Zhang

  2013-05-05

  DOI:10.4208/cicp.251011.270412a

  41129 4168 pp. 1357-1388

• A Posteriori Error Estimate and Adaptive Mesh Refinement Algorithm for Atomistic/Continuum Coupling with Finite Range Interactions in Two Dimensions

  Mingjie Liao, Ping Lin, Lei Zhang

  2020-03-06

  DOI:10.4208/cicp.OA-2018-0169

  51818 5194 pp. 198-226

• Postprocessing Techniques of High-Order Galerkin Approximations to Nonlinear Second-Order Initial Value Problems with Applications to Wave Equations

  Mingzhu Zhang, Lijun Yi

  2024-04-10

  DOI:10.4208/cicp.OA-2023-0232

  24109 2140 pp. 816-858

• A Posteriori Error Estimates for Conservative Local Discontinuous Galerkin Methods for the Generalized Korteweg-de Vries Equation

  Ohannes Karakashian, Yulong Xing

  2018-04-04

  DOI:10.4208/cicp.240815.301215a

  42647 4845 pp. 250-278

• An Adaptive Finite Element Method with a Modified Perfectly Matched Layer Formulation for Diffraction Gratings

  Jie Chen, Desheng Wang, Haijun Wu

  2018-03-24

  37509 3837 pp. 290-318

• Dissipative and Conservative Local Discontinuous Galerkin Methods for the Fornberg-Whitham Type Equations

  Qian Zhang, Yan Xu, Chi-Wang Shu

  2021-05-25

  DOI:10.4208/cicp.OA-2020-0027

  50986 3313 pp. 321-356

• Central Discontinuous Galerkin Methods for the Generalized Korteweg-de Vries Equation

  Mengjiao Jiao, Yingda Cheng, Yong Liu, Mengping Zhang

  2020-07-21

  DOI:10.4208/cicp.OA-2019-0099

  48431 3334 pp. 927-966

• Finite Neuron Method and Convergence Analysis

  Jinchao Xu

  2020-11-18

  DOI:10.4208/cicp.OA-2020-0191

  70604 3843 pp. 1707-1745

• A Posteriori Error Estimates for the Weak Galerkin Finite Element Methods on Polytopal Meshes

  Hengguang Li, Lin Mu, Xiu Ye

  2019-04-04

  DOI:10.4208/cicp.OA-2018-0058

  46991 3384 pp. 558-578

• Optimal Superconvergence of Energy Conserving Local Discontinuous Galerkin Methods for Wave Equations

  Waixiang Cao, Dongfang Li, Zhimin Zhang

  2018-04-08

  DOI:10.4208/cicp.120715.100516a

  41422 4761 pp. 211-236

• A h-Adaptive Algorithm Using Residual Error Estimates for Fluid Flows

  N. Ganesh, N. Balakrishnan

  2018-03-27

  DOI:10.4208/cicp.170811.210212a

  38696 3992 pp. 461-478

• On the Use of Adjoint-Based Sensitivity Estimates to Control Local Mesh Refinement

  Joseph D. Frazier, Peter K. Jimack, Robert M. Kirby

  2010-07-01

  DOI:10.4208/cicp.2009.09.060

  40788 4691 pp. 631-638

• A Locking-Free Weak Galerkin Finite Element Method for Linear Elasticity Problems Based on a Reconstruction Operator

  Fuchang Huo, Ruishu Wang, Yanqiu Wang, Ran Zhang

  2026-04-10

  DOI:10.4208/cicp.OA-2024-0155

  175 41 pp. 239-262

• Local Discontinuous Galerkin Method for Nonlinear BSPDEs of Neumann Boundary Conditions with Deep Backward Dynamic Programming Time-Marching

  Yixiang Dai, Yunzhang Li, Jing Zhang

  2026-01-18

  DOI:10.4208/cicp.OA-2024-0296

  785 122 pp. 1299-1331

• Error Estimates of Some Numerical Atomic Orbitals in Molecular Simulations

  Huajie Chen, Reinhold Schneider

  2018-04-03

  DOI:10.4208/cicp.170414.231214a

  42116 4729 pp. 125-146

• A Penalty-Free or Penalty-Factor-Free DG Method with a Locally Reconstructed Curl Operator for the Maxwell Eigenproblem

  Zhijie Du, Huoyuan Duan, Duowei Zhu

  2025-08-23

  DOI:10.4208/cicp.OA-2024-0151

  6545 489 pp. 887-922