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  • 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
    DOI:10.4208/jcm.1405-m4409
    37489 4489 pp. 665-686 Open Access
  • 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
    DOI:10.4208/jcm.2009.27.4.018
    32952 3657 pp. 543-560
  • A Posteriori Error Analysis for Mixed Finite Element Solution of the Two-Dimensional Stationary Stokes Problem

    Wei Yuan
    1990-08-01
    33285 3873 pp. 30-44
  • Estimator Competition for Poisson Problems

    C. Carstensen, C. Merdon
    2018-08-22
    DOI:10.4208/jcm.2009.10-m1015
    34962 3648 pp. 309-330
  • Reduced Basis Method for Parametrized Elliptic Advection-Reaction Problems

    Luca Dedè
    2018-08-22
    DOI:10.4208/jcm.2009.09-m3015
    36113 3989 pp. 122-148
  • Richardson Extrapolation and Defect Correction of Finite Element Methods for Optimal Control Problems

    Tang Liu, Ningning Yan, Shuhua Zhang
    2018-08-22
    DOI:10.4208/jcm.2009.09-m1001
    34801 3947 pp. 55-71
  • Convergence of Adaptive Edge Element Methods for the 3D Eddy Currents Equations

    R. H. W. Hoppe, J. Schoeberl
    2018-08-07
    DOI:10.4208/jcm.2009.27.5.016
    33918 3332 pp. 657-676
  • Variational Discretization for Optimal Control Governed by Convection Dominated Diffusion Equations

    Michael Hinze, Ningning Yan, Zhaojie Zhou
    2018-08-07
    33679 3706 pp. 237-253
  • A Posteriori Error Estimates in Adini Finite Element for Eigenvalue Problems

    Yi-Du Yang
    2000-08-02
    32748 3519 pp. 413-418
  • Natural Boundary Integral Method and its New Development

    Dehao Yu
    2004-04-02
    32899 3704 pp. 309-318
  • A Priori Error Estimate and Superconvergence Analysis for an Optimal Control Problem of Bilinear Type

    Danping Yang, Yanzhen Chang, Wenbin Liu
    2018-08-07
    31431 3463 pp. 471-487
  • An Adaptive Inverse Iteration FEM for the Inhomogeneous Dielectric Waveguides

    Jianhua Yuan
    2007-04-02
    34423 3623 pp. 169-184
  • Weak-Duality Based Adaptive Finite Element Methods for PDE-Constrained Optimization with Pointwise Gradient State-Constraints

    M. Hintermüller, Michael Hinze, Ronald H.W. Hoppe
    2018-08-22
    DOI:10.4208/jcm.1109-m3522
    36525 4562 pp. 101-123 Open Access
  • Adaptive Finite Element Approximation for a Class of Parameter Estimation Problems

    Karl Kunisch, Wenbin Liu, Yanzhen Chang, Ningning Yan, Ruo Li
    2019-04-10
    DOI:10.4208/jcm.2009.10-m1016
    34913 3444 pp. 645-675
  • Serendipity Virtual Element Method for the Second Order Elliptic Eigenvalue Problem in Two and Three Dimensions

    Haokun Li, Yulin Liu, Jian Meng, Xu Qian
    2026-01-20
    DOI:10.4208/jcm.2508-m2024-0265
    160 178
  • Numerical Analysis of a Nonlinear Singularly Perturbed Delay Volterra Integro-Differential Equation on an Adaptive Grid

    Libin Liu, Yanping Chen, Ying Liang
    2022-10-06
    DOI:10.4208/jcm.2008-m2020-0063
    37705 3135 pp. 258-274
  • Mixed Discontinuous Galerkin Time-Stepping Method for Linear Parabolic Optimal Control Problems

    Tianliang Hou, Yanping Chen
    2018-08-22
    DOI:10.4208/jcm.1211-m4267
    37467 3061 pp. 158-178
  • Adaptive Stochastic Meshfree Methods for Optimal Control Problem Governed by Random Elliptic Equations

    Liang Ge, Tongjun Sun, Wanfang Shen, Wenbin Liu
    2025-07-12
    DOI:10.4208/jcm.2404-m2021-0289
    6303 566 pp. 813-839
  • Error Analysis for Parabolic Optimal Control Problems with Measure Data in a Nonconvex Polygonal Domain

    Pratibha Shakya
    2024-11-13
    DOI:10.4208/jcm.2305-m2022-0215
    11867 1152 pp. 1579-1604
  • Convergence and Optimality of Adaptive Mixed Methods for Poisson's Equation in the FEEC Framework

    Michael Holst, Yuwen Li, Adam Mihalik, Ryan Szypowski
    2020-11-09
    DOI:10.4208/jcm.1905-m2018-0265
    44530 3166 pp. 748-767
  • Discontinuous Galerkin Methods and Their Adaptivity for the Tempered Fractional (Convection) Diffusion Equations

    Xudong Wang, Weihua Deng
    2021-07-01
    DOI:10.4208/jcm.1906-m2019-0040
    42996 3870 pp. 839-867
  • Time Domain Boundary Element Methods for the Neumann Problem: Error Estimates and Acoustic Problems

    Heiko Gimperlein, Ceyhun Özdemir, Ernst P. Stephan
    2018-09-17
    DOI:10.4208/jcm.1610-m2016-0494
    41060 4907 pp. 70-89
  • Saturation and Reliable Hierarchical a Posteriori Morley Finite Element Error Control

    Carsten Carstensen, Dietmar Gallistl, Yunqing Huang
    2021-07-01
    DOI:10.4208/jcm.1705-m2016-0549
    45086 4088 pp. 833-844
  • A Finite Element Method with Rectangular Perfectly Matched Layers for the Scattering from Cavities

    Deyue Zhang, Fuming Ma, Heping Dong
    2021-07-01
    DOI:10.4208/jcm.2009.09-m2902
    35386 3831 pp. 812-834
  • How to Prove the Discrete Reliability for Nonconforming Finite Element Methods

    Carsten Carstensen, Sophie Puttkammer
    2020-02-06
    DOI:10.4208/jcm.1908-m2018-0174
    44453 4579 pp. 142-175
  • Superconvergence Analysis of the Polynomial Preserving Recovery for Elliptic Problems with Robin Boundary Conditions

    Yu Du, Haijun Wu, Zhimin Zhang
    2020-02-06
    DOI:10.4208/jcm.1911-m2018-0176
    42600 4529 pp. 223-238
  • Error Reduction in Adaptive Finite Element Approximations of Elliptic Obstacle Problems

    Dietrich Braess, Carsten Carstensen, Ronald H. W. Hoppe
    2018-08-07
    33248 3417 pp. 148-169
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