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  • On Residual-Based a Posteriori Error Estimators for Lowest-Order Raviart-Thomas Element Approximation to Convection-Diffusion-Reaction Equations

    Shaohong Du & Xiaoping Xie
    2018-08-22
    38524 3642 Pages:522-546
  • Optimal Error Estimates of the Partition of Unity Method with Local Polynomial Approximation Spaces

    Yun-Qing Huang, Wei Li & Fang Su
    2006-06-02
    33493 3630 Pages:365-372
  • Weak Error Estimates for Trajectories of SPDEs Under Spectral Galerkin Discretization

    Charles-Edouard Bréhier, Martin Hairer, Andrew M. Stuart
    2019-02-12
    43934 4078 Pages:159-182 Open-access
  • Derivative Sampling Expansions for the Linear Canonical Transform: Convergence and Error Analysis

    Mahmoud H. Annaby, Rashad M. Asharabi
    2019-04-29
    39026 2801 Pages:403-418
  • A Priori Error Estimate and Superconvergence Analysis for an Optimal Control Problem of Bilinear Type

    Danping Yang, Yanzhen Chang & Wenbin Liu
    2018-08-07
    31233 3418 Pages:471-487
  • A Posteriori Error Estimates for a Modified Weak Galerkin Finite Element Approximation of Second Order Elliptic Problems with DG Norm

    Yuping Zeng, Feng Wang, Zhifeng Weng, Hanzhang Hu
    2021-10-15
    40535 3044 Pages:755-776
  • A Posteriori Energy-Norm Error Estimates for Advection-Diffusion Equations Approximated by Weighted Interior Penalty Methods

    Alexandre Ern & Annette F. Stephansen
    2018-08-07
    31423 3387 Pages:488-510
  • Superconvergence Error Estimates of the Lowest-Order Raviart-Thomas Galerkin Mixed Finite Element Method for Nonlinear Thermistor Equations

    Huaijun Yang, Dongyang Shi
    2025-10-30
    4071 213 Pages:1548-1574
  • Error Estimates for Sparse Optimal Control Problems by Piecewise Linear Finite Element Approximation

    Xiaoliang Song, Bo Chen, Bo Yu
    2021-04-07
    40985 3223 Pages:471-492
  • Optimal Delaunay Triangulations

    Long Chen, Jinchao Xu
    2004-04-02
    34609 3464 Pages:299-308
  • Saturation and Reliable Hierarchical a Posteriori Morley Finite Element Error Control

    Carsten Carstensen, Dietmar Gallistl, Yunqing Huang
    2021-07-01
    44865 4035 Pages:833-844
  • Mixed Discontinuous Galerkin Time-Stepping Method for Linear Parabolic Optimal Control Problems

    Tianliang Hou, Yanping Chen
    2018-08-22
    37260 2999 Pages:158-178
  • Finite Element Exterior Calculus for Evolution Problems

    Andrew Gillette, Michael Holst, Yunrong Zhu
    2018-08-22
    51025 3108 Pages:187-212
  • Error Analysis of Virtual Element Methods for the Time-Dependent Poisson-Nernst-Planck Equations

    Ying Yang, Ya Liu, Yang Liu, Shi Shu
    2024-11-21
    15973 1484 Pages:731-770
  • Interior Estimates of Semidiscrete Finite Element Methods for Parabolic Problems with Distributional Data

    Li Guo, Hengguang Li, Yang Yang
    2019-04-29
    40381 3082 Pages:458-474
  • Error Analysis for Parabolic Optimal Control Problems with Measure Data in a Nonconvex Polygonal Domain

    Pratibha Shakya
    2024-11-13
    11571 1080 Pages:1579-1604
  • Richardson Extrapolation and Defect Correction of Finite Element Methods for Optimal Control Problems

    Tang Liu, Ningning Yan & Shuhua Zhang
    2018-08-22
    34570 3821 Pages:55-71
  • A Posteriori Error Estimate for Boundary Control Problems Governed by the Parabolic Partial Differential Equations

    Wei Gong & Ningning Yan
    2018-08-15
    34474 3886 Pages:68-88
  • Error Estimates of a Class of Serendipity Virtual Element Methods for Semilinear Parabolic Integro-Differential Equations on Curved Domains

    Yang Xu, Zhenguo Zhou, Jingjun Zhao
    2025-03-17
    107 20
  • Maximum Norm Error Estimates of Crouzeix-Raviart Nonconforming Finite Element Approximation of Navier-Stokes Problem

    Qing-Ping Deng, Xue-Jun Xu, Shu-Min Shen
    2000-04-02
    31572 3374 Pages:141-156
  • How to Prove the Discrete Reliability for Nonconforming Finite Element Methods

    Carsten Carstensen, Sophie Puttkammer
    2020-02-06
    44208 4466 Pages:142-175
  • Adaptive Finite Element Approximation for a Class of Parameter Estimation Problems

    Karl Kunisch, Wenbin Liu, Yanzhen Chang, Ningning Yan & Ruo Li
    2019-04-10
    34682 3392 Pages:645-675
  • On the Error Estimate of Linear Finite Element Approximation to the Elastic Contact Problem with Curved Contact Boundary

    Lie-Heng Wang
    2021-07-01
    31544 3580 Pages:561-566
  • Error Bound for Bernstein-Bézier Triangular Approximation

    Geng-Zhe Chang & Yu-Yu Feng
    2021-07-01
    34437 3552 Pages:335-340
  • Finite Element Exterior Calculus for Parabolic Evolution Problems on Riemannian Hypersurfaces

    Michael Holst, Christopher Tiee
    2021-07-01
    60126 4317 Pages:792-832
  • An Exponential Wave Integrator Pseudospectral Method for the Symmetric Regularized-Long-Wave Equation

    Xiaofei Zhao
    2018-08-22
    37726 4807 Pages:49-69
  • A Posteriori Error Estimates for Local $C^0$ Discontinuous Galerkin Methods for Kirchhoff Plate Bending Problems

    Yifeng Xu, Jianguo Huang & Xuehai Huang
    2021-07-01
    37281 4377 Pages:665-686 Open-access
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