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  • Finite Element Approximation of Semilinear Parabolic Optimal Control Problems

    Hongfei Fu & Hongxing Rui
    2011-04-01
    41619 3739 Pages:489-504
  • A Posteriori Error Estimates of Mixed Methods for Quadratic Optimal Control Problems Governed by Parabolic Equations

    Tianliang Hou, Yanping Chen & Yunqing Huang
    2011-04-01
    41858 3634 Pages:439-458
  • Higher Order Triangular Mixed Finite Element Methods for Semilinear Quadratic Optimal Control Problems

    Kang Deng, Yanping Chen & Zuliang Lu
    2011-04-01
    40236 3634 Pages:180-196
  • A Priori and a Posteriori Error Estimates of Streamline Diffusion Finite Element Method for Optimal Control Problem Governed by Convection Dominated Diffusion Equation

    Ningning Yan & Zhaojie Zhou
    2008-01-01
    39223 3581 Pages:297-320
  • Convergence Analysis on a Second-Order, Positive, and Unconditional Energy Dissipative Scheme for the Poisson-Nernst-Planck Equations

    Jie Ding, Xiang Ji, Ziheng Xu
    2025-09-01
    4714 361 Pages:703-732
  • A Second Order Accurate in Time, Energy Stable Finite Element Scheme for a Liquid Thin Film Coarsening Model

    Maoqin Yuan, Lixiu Dong, Juan Zhang
    2025-04-06
    6740 554 Pages:127-156
  • Unconditional Convergence of Linearized TL1 Difference Methods for a Time-Fractional Coupled Nonlinear Schrödinger System

    Min Li, Dongfang Li, Ju Ming, A. S. Hendy
    2025-04-06
    6811 573 Pages:1-30
  • Linearized Transformed $L1$ Galerkin FEMs with Unconditional Convergence for Nonlinear Time Fractional Schrödinger Equations

    Wanqiu Yuan, Dongfang Li, Chengjian Zhang
    2023-04-10
    39346 2938 Pages:348-369
  • Convergence of Weak Galerkin Finite Element Method for Second Order Linear Wave Equation in Heterogeneous Media

    Bhupen Deka, Papri Roy, Naresh Kumar, Raman Kumar
    2023-04-10
    38062 2789 Pages:323-347
  • On Quadratic Wasserstein Metric with Squaring Scaling for Seismic Velocity Inversion

    Zhengyang Li, Yijia Tang, Jing Chen, Hao Wu
    2023-04-10
    37447 2775 Pages:277-297
  • A Third Order Accurate in Time, BDF-Type Energy Stable Scheme for the Cahn-Hilliard Equation

    Kelong Cheng, Cheng Wang, Steven M. Wise, Yanmei Wu
    2022-03-23
    55566 3335 Pages:279-303
  • Finite Element Error Estimation for Parabolic Optimal Control Problems with Pointwise Observations

    Dongdong Liang, Wei Gong, Xiaoping Xie
    2022-02-09
    46120 3950 Pages:165-199
  • Generalized Rough Polyharmonic Splines for Multiscale PDEs with Rough Coefficients

    Xinliang Liu, Lei Zhang, Shengxin Zhu
    2021-09-10
    47822 2716 Pages:862-892
  • A New Iteration and Preconditioning Method for Elliptic PDE-Constrained Optimization Problems

    Owe Axelsson, Davod Khojasteh Salkuyeh
    2020-12-02
    53183 2921 Pages:1098-1122
  • Numerical Analysis of a Dynamic Contact Problem with History-Dependent Operators

    Hailing Xuan, Xiaoliang Cheng, Weimin Han, Qichang Xiao
    2020-03-16
    57776 3128 Pages:569-594
  • A Stabilized Low Order Finite Element Method for Three Dimensional Elasticity Problems

    Gwanghyun Jo, Do Y. Kwak
    2020-03-09
    44447 2887 Pages:281-295
  • Convergence Analysis of a Numerical Scheme for the Porous Medium Equation by an Energetic Variational Approach

    Chenghua Duan, Chun Liu, Cheng Wang, Xingye Yue
    2020-03-06
    58813 4446 Pages:63-80
  • Error Estimates and Superconvergence of a High-Accuracy Difference Scheme for a Parabolic Inverse Problem with Unknown Boundary Conditions

    Liping Zhou, Shi Shu, Haiyuan Yu
    2019-10-12
    45882 2656 Pages:1119-1140
  • Time-Stepping Error Bound for a Stochastic Parabolic Volterra Equation Disturbed by Fractional Brownian Motions

    Ruisheng Qi & Qiu Lin
    2019-04-22
    43612 2668 Pages:778-796
  • A Weak Galerkin Finite Element Method for Elliptic Interface Problems with Polynomial Reduction

    Bhupen Deka
    2018-09-17
    40218 2691 Pages:655-672
  • A Full Multigrid Method for Distributed Control Problems Constrained by Stokes Equations

    M. M. Butt & Y. Yuan
    2017-10-01
    38334 2559 Pages:639-655
  • Mixed Finite Element Methods for Fourth Order Elliptic Optimal Control Problems

    K. Manickam & P. Prakash
    2016-09-01
    39816 2806 Pages:528-548
  • A Priori Error Estimate of Splitting Positive Definite Mixed Finite Element Method for Parabolic Optimal Control Problems

    Hongfei Fu, Hongxing Rui, Jiansong Zhang & Hui Guo
    2016-09-01
    39261 2707 Pages:215-238
  • A Multilevel Method for the Solution of Time Dependent Optimal Transport

    Eldad Haber & Raya Horesh
    2015-08-01
    42326 4403 Pages:97-111
  • Error Estimates and Superconvergence of RT0 Mixed Methods for a Class of Semilinear Elliptic Optimal Control Problems

    Yanping Chen & Tianliang Hou
    2013-06-01
    40144 3488 Pages:637-656
  • Superconvergence and $L^∞$-Error Estimates of the Lowest Order Mixed Methods for Distributed Optimal Control Problems Governed by Semilinear Elliptic Equations

    Tianliang Hou
    2013-06-01
    38373 3790 Pages:479-498
  • Multigrid Solution of a Lavrentiev-Regularized State-Constrained Parabolic Control Problem

    Alfio Borzì & Sergio González Andrade
    2012-05-01
    40883 4451 Pages:1-18 Open-access
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