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  • A Posteriori Error Estimates for a Local Discontinuous Galerkin Approximation of Semilinear Second-Order Elliptic Problems on Cartesian Grids

    Mahboub Baccouch
    2023-11-13
    DOI:10.4208/ijnam2023-1034
    22485 2051 pp. 772-804
  • Reliable and Efficient Averaging Techniques as Universal Tool for a Posteriori Finite Element Error Control on Unstructured Grids

    Carsten Carstensen
    2006-08-01
    31011 2513 pp. 333-347
  • A Posteriori Error Estimators for Nonconforming Approximation

    Abdellatif Agouzal
    2008-05-01
    32328 3666 pp. 77-85
  • Error Estimates for an Optimal Control Problem Governed by the Heat Equation with State and Control Constraints

    Gengsheng Wang, Xin Yu
    2018-08-15
    31510 3723 pp. 30-65
  • $L^2$ Norm Equivalent a Posteriori Error Estimate for a Constrained Optimal Control Problem

    L. Ge, W. Liu & D. Yang
    2009-06-01
    31316 2631 pp. 335-353
  • A Posteriori Error Estimates of Finite Volume Element Method for Second-Order Quasilinear Elliptic Problems

    Chunjia Bi, Cheng Wang
    2018-08-15
    32884 4144 pp. 22-40
  • Recent Advances on Explicit Variational Multiscale a Posteriori Error Estimation for Systems

    Guillermo Hauke, Diego Irisarri, Fernando Lizarraga
    2021-10-20
    33987 2607 pp. 372-384
  • Fully Computable Error Bounds for Eigenvalue Problem

    Qichen Hong, Hehu Xie, Meiling Yue, Ning Zhang
    2018-08-14
    32428 3897 pp. 260-276
  • Spatial Error Estimates for a Finite Element Viscosity-Splitting Scheme for the Navier-Stokes Equations

    F. Guillen-Gonzalez, M. V. Redondo-Neble
    2013-10-01
    33236 2606 pp. 826-844
  • Symmetric Interior Penalty DG Methods for the Compressible Navier-Stokes Equations II: Goal-Oriented a Posteriori Error Estimation

    Ralf Hartmann, Paul Houston
    2006-03-01
    31198 2664 pp. 141-162
  • Control of Geometry Induced Error in $hp$ Finite Element (FE) Simulations, I. Evaluation of FE Error for Curvilinear Geometries

    D. Xue & L. Demkowicz
    2005-02-01
    29280 2590 pp. 283-300
  • Equivalent a Posteriori Error Estimates for a Constrained Optimal Control Problem Governed by Parabolic Equations

    Tongjun Sun, Liang Ge, Wenbin Liu
    2018-08-15
    34857 3923 pp. 1-23
  • Anisotropic $hp$-Adaptive Discontinuous Galerkin Finite Element Methods for Compressible Fluid Flows

    S. Giani & P. Houston
    2012-09-01
    32389 2595 pp. 928-949
  • Error Estimates Under Minimal Regularity for Single Step Finite Element Approximations of Parabolic Partial Differential Equations

    L. S. Hou, W. Zhu
    2006-03-01
    29475 2667 pp. 504-524
  • A Priori Error Estimates of a Signorini Contact Problem for Electro-Elastic Materials

    Salah Bourichi, El-Hassan Essoufi, Rachid Fakhar
    2016-07-03
    32392 2748 pp. 627-647
  • An Interior Penalty Discontinuous Galerkin Method for a Class of Monotone Quasilinear Elliptic Problems

    Peter W. Fick
    2015-12-01
    33271 2646 pp. 750-777
  • Adaptive Finite Element Methods for Parameter Estimation Problems in Linear Elasticity

    Tao Feng, Marten Gulliksson, Wenbin Liu
    2009-06-01
    31688 3727 pp. 17-32
  • Error Estimates and Superconvergence of Mixed Finite Element for Quadratic Optimal Control

    Yanping Chen, Wenbin Liu
    2006-08-01
    30131 2564 pp. 311-321
  • $hp$-Version Interior Penalty Discontinuous Galerkin Finite Element Methods on Anisotropic Meshes

    Emmanuil H. Georgoulis
    2006-03-01
    31205 3894 pp. 52-79
  • Error Estimates and Blow-Up Analysis of a Finite-Element Approximation for the Parabolic-Elliptic Keller-Segel System

    Wenbin Chen, Qianqian Liu, Jie Shen
    2022-09-27
    42820 2977 pp. 275-298
  • A Residual a Posteriori Error Estimator for Elasto-Viscoplasticity

    J. R. Fernández, P. Hild
    2009-06-01
    30242 2542 pp. 603-614
  • A Priori and a Posteriori Error Estimates for Boussinesq Equations

    Karam Allali
    2005-02-01
    30823 2575 pp. 179-196
  • A Posteriori Error Estimation for Non-Conforming Quadrilateral Finite Elements

    Mark Ainsworth
    2005-04-03
    32403 3624 pp. 1-18
  • Global Superconvergence for Optimal Control Problems Governed by Stokes Equations

    Huipo Liu, Ningning Yan
    2006-08-01
    30490 2561 pp. 283-302
  • Stochastic Spline-Collocation Method for Constrained Optimal Control Problem Governed by Random Elliptic PDE

    Benxue Gong, Liang Ge, Tongjun Sun, Wanfang Shen, W. B. Liu
    2018-09-18
    32445 2582 pp. 627-645
  • Stochastic Galerkin Method for Constrained Optimal Control Problem Governed by an Elliptic Integro-Differential PDE with Random Coefficients

    W. Shen, T. Sun, B. Gong & Wenbin Liu
    2015-12-01
    33873 2717 pp. 593-616
  • Finite Element Approximation of Optimal Control for System Governed by Immiscible Displacement in Porous Media

    Y. Chang, W. Cao, D. Yang, T. Sun & W. Liu
    2014-11-01
    33072 2613 pp. 688-714
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