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  • 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
  • Variational Discretization of a Control-Constrained Parabolic Bang-Bang Optimal Control Problem

    Nikolaus von Daniels, Michael Hinze
    2020-02-06
    41601 4328 Pages:14-40
  • Unconditional Convergence and Error Estimates of a Fully Discrete Finite Element Method for the Micropolar Navier-Stokes Equations

    Shipeng Mao, Jiaao Sun, Wendong Xue
    2023-12-01
    32120 2636 Pages:71-110
  • Explicit Error Estimates for Courant, Crouzeix-Raviart and Raviart-Thomas Finite Element Methods

    Carsten Carstensen, Joscha Gedicke & Donsub Rim
    2018-08-22
    39271 3586 Pages:337-353
  • Finite Element Methods for a Bi-Wave Equation Modeling D-Wave Superconductors

    Xiaobing Feng & Michael Neilan
    2018-08-22
    33375 3570 Pages:331-353
  • Stability and Error Estimates of Ultra-Weak Local Discontinuous Galerkin Method with Spectral Deferred Correction Time-Marching for PDEs with High Order Spatial Derivatives

    Lingling Zhou, Wenhua Chen, Ruihan Guo
    2025-11-20
    1336 63 Pages:286-306
  • Remarks on Error Estimates for the TRUNC Plate Element

    Ling Guo, Jianguo Huang, Zhongci Shi
    2018-08-15
    32958 3911 Pages:103-112
  • 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
  • Uniform Error Bounds of a Conservative Compact Finite Difference Method for the Quantum Zakharov System in the Subsonic Limit Regime

    Gengen Zhang, Chunmei Su
    2023-12-01
    28003 2444 Pages:289-312
  • 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
  • Local a Priori and a Posteriori Error Estimate of TQC9 Element for the Biharmonic Equation

    Ming Wang & Weimeng Zhang
    2018-08-07
    33587 3627 Pages:196-208
  • Convergence of an Immersed Interface Upwind Scheme for Linear Advection Equations with Piecewise Constant Coefficients I: $L^1$-Error Estimates

    Xin Wen & Shi Jin
    2018-08-15
    33248 4294 Pages:1-22
  • Uniform Error Bounds of an Energy-Preserving Exponential Wave Integrator Fourier Pseudo-Spectral Method for the Nonlinear Schrödinger Equation with Wave Operator and Weak Nonlinearity

    Jiyong Li
    2024-11-19
    13707 1054 Pages:280-314
  • Optimal Error Estimates of the Local Discontinuous Galerkin Method with Generalized Numerical Fluxes for One-Dimensional KdV Type Equations

    Hongjuan Zhang, Xiong Meng, Dazhi Zhang, Boying Wu
    2024-11-18
    11319 1121 Pages:63-88
  • Time Domain Boundary Element Methods for the Neumann Problem: Error Estimates and Acoustic Problems

    Heiko Gimperlein, Ceyhun Özdemir, Ernst P. Stephan
    2018-09-17
    40829 4759 Pages:70-89
  • A Priori Error Estimates for Least-Squares Mixed Finite Element Approximation of Elliptic Optimal Control Problems

    Hongfei Fu, Hongxing Rui
    2018-08-22
    36842 2874 Pages:113-127
  • A Characteristic Finite Element Method for Constrained Convection-Diffusion-Reaction Optimal Control Problems

    Hongfei Fu, Hongxing Rui & Hui Guo
    2018-08-22
    36466 4304 Pages:88-106
  • Optimal Error Estimates for Nédélec Edge Elements for Time-Harmonic Maxwell's Equations

    Liuqiang Zhong, Shi Shu, Gabriel Wittum & Jinchao Xu
    2018-08-07
    34779 3672 Pages:563-572
  • Recovery a Posteriori Error Estimates for General Convex Elliptic Optimal Control Problems Subject to Pointwise Control Constraints

    Yanping Chen, Yao Fu, Huanwen Liu, Yongquan Dai & Huayi Wei
    2009-08-02
    32748 3598 Pages:543-560
  • Convergence of an Immersed Interface Upwind Scheme for Linear Advection Equations with Piecewise Constant Coefficients II: Some Related Binomial Coefficients Inequalities

    Xin Wen
    2009-08-02
    32424 3380 Pages:474-483
  • Superconvergence and a Posteriori Error Estimates for Boundary Control Governed by Stokes Equations

    Hui-Po Liu & Ning-Ning Yan
    2006-06-02
    33178 3438 Pages:343-356
  • The Optimal Order Error Estimates for Finite Element Approximations to Hyperbolic Problems

    Tie Zhang
    2005-06-02
    33242 3278 Pages:275-284
  • Improved Error Estimates for Mixed Finite Element for Nonlinear Hyperbolic Equations: The Continuous-Time Case

    Yan-Ping Chen, Yuan-Qing Huang
    2001-08-02
    32907 3509 Pages:385-392
  • A-Posteriori Local Error Estimates of Boundary Element Methods with Some Pseudo-Differential Equations on Closed Curves

    W. L. Wendland, De-Hao Yu
    1992-10-01
    33805 3643 Pages:273-289
  • Analysis of the Implicit-Explicit Ultra-Weak Discontinuous Galerkin Method for Convection-Diffusion Problems

    Haijin Wang, Anping Xu, Qi Tao
    2023-12-01
    29071 2894 Pages:1-23
  • A Priori Error Estimates for Obstacle Optimal Control Problem, Where the Obstacle Is the Control Itself

    Yazid Dendani, Radouen Ghanem
    2023-04-25
    39729 3261 Pages:717-740
  • 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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