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  • 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
    147 57 Pages: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
    46224 4912 Pages:168-197
  • Recursive POD Expansion for the Advection-Diffusion-Reaction Equation

    M. Azaïez, T. Chacón Rebollo, E. Perracchione & J. M. Vega
    2018-09-17
    44381 4664 Pages: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
    34581 2682 Pages:503-529
  • A Numerical Analysis of the Weak Galerkin Method for the Helmholtz Equation with High Wave Number

    Yu Du, Zhimin Zhang
    2019-10-31
    41841 4768 Pages: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
    207 54 Pages: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
    46198 3842 Pages:1496-1522
  • A Posteriori Error Estimates of Discontinuous Streamline Diffusion Methods for Transport Equations

    Juan Sun, Zhaojie Zhou & Huipo Liu
    2018-09-17
    44506 3585 Pages: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
    48462 3306 Pages: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
    42403 4297 Pages:1141-1158
  • Optimal Error Estimates of Compact Finite Difference Discretizations for the Schrödinger-Poisson System

    Yong Zhang
    2013-05-05
    40965 4110 Pages: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
    51587 5073 Pages: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
    23896 2061 Pages: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
    42507 4742 Pages: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
    37369 3754 Pages: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
    50735 3250 Pages:321-356
  • Central Discontinuous Galerkin Methods for the Generalized Korteweg-de Vries Equation

    Mengjiao Jiao, Yingda Cheng, Yong Liu, Mengping Zhang
    2020-07-21
    48213 3258 Pages:927-966
  • Finite Neuron Method and Convergence Analysis

    Jinchao Xu
    2020-11-18
    70207 3742 Pages: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
    46773 3326 Pages:558-578
  • Optimal Superconvergence of Energy Conserving Local Discontinuous Galerkin Methods for Wave Equations

    Waixiang Cao, Dongfang Li & Zhimin Zhang
    2018-04-08
    41272 4636 Pages:211-236
  • A h-Adaptive Algorithm Using Residual Error Estimates for Fluid Flows

    N. Ganesh & N. Balakrishnan
    2018-03-27
    38541 3943 Pages: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
    40603 4627 Pages:631-638
  • Error Estimates of Some Numerical Atomic Orbitals in Molecular Simulations

    Huajie Chen & Reinhold Schneider
    2018-04-03
    41966 4569 Pages: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
    5938 392 Pages:887-922
  • The Positivity-Preserving Finite Volume Coupled with Finite Element Method for the Keller-Segel-Navier-Stokes Model

    Ping Zeng, Guanyu Zhou
    2024-05-06
    27860 2014 Pages:1073-1119
  • A Nodal Finite Element Method for a Thermally Coupled Eddy-Current Problem with Moving Conductors

    Zezhong Wang, Qiya Hu
    2021-01-13
    44625 3268 Pages:767-801
  • Finite Element Analysis for Nonstationary Magneto-Heat Coupling Problem

    Xue Jiang, Donghang Zhang, Linbo Zhang, Weiying Zheng
    2019-08-27
    47854 3436 Pages:1471-1489
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