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  • On Error Estimates of the Penalty Method for the Unsteady Conduction-Convection Problem I: Time Discretization

    Haiyan Sun, Yinnian He, Xinlong Feng
    2012-09-01
    32673 2675 pp. 876-891
  • A Uniformly Optimal-Order Estimate for Bilinear Finite Element Method for Transient Advection-Diffusion Equations

    Qun Lin, Kaixin Wang, Hong Wang, Xiabo Yin
    2012-09-01
    33516 3855 pp. 73-85
  • Optimal Error Estimates of the Local Discontinuous Galerkin Method for Willmore Flow of Graphs on Cartesian Meshes

    Liangyue Ji, Yan Xu
    2011-08-01
    31882 2613 pp. 252-283
  • Numerical Methods for the Extended Fisher-Kolmogorov (EFK) Equation

    Palla Danumjaya, Amiya Kumar Pani
    2006-03-01
    30256 2717 pp. 186-210
  • 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
  • Convergence of Discontinuous Finite Volume Discretizations for a Semilinear Hyperbolic Optimal Control Problem

    Ruchi Sandilya, Sarvesh Kumar
    2016-11-08
    32481 2872 pp. 926-950
  • A Splitting Least-Squares Mixed Finite Element Method for Elliptic Optimal Control Problems

    Hongfei Fu, Hongxing Rui, Hui Guo, Jiansong Zhang, Jian Hou
    2016-07-03
    32328 2713 pp. 610-626
  • An Optimal-Order Error Estimate for a Finite Difference Method to Transient Degenerate Advection-Diffusion Equations

    Tongchao Lu, Jinhong Jia
    2012-09-01
    32901 3859 pp. 56-72
  • Analysis and Approximations of a Terminal-State Optimal Control Problem Constrained by Semilinear Parabolic PDEs

    L. S. Hou & H.-D. Kwon
    2021-11-09
    30447 2426 pp. 713-728
  • Finite Element Approximation of a Non-Local Problem in Non-Fickian Polymer Diffusion

    S. Shaw
    2011-08-01
    32292 2596 pp. 226-251
  • Weak Galerkin Finite Element Methods for Parabolic Problems with $L^2$ Initial Data

    Naresh Kumar, Bhupen Deka
    2023-01-14
    DOI:10.4208/ijnam2023-1009
    28430 2553 pp. 199-228
  • An Optimal Uniform a Priori Error Estimate for an Unsteady Singularly Perturbed Problem

    M. Vlasak, H.-G. Roos
    2021-10-20
    33950 3920 pp. 24-33
  • Error Analysis of Linearized Semi-Implicit Galerkin Finite Element Methods for Nonlinear Parabolic Equations

    Buyang Li, Weiwei Sun
    2013-10-01
    34735 2780 pp. 622-633
  • An Optimal-Order Error Estimate to the Modified Method of Characteristics for a Degenerate Convection-Diffusion Equation

    Kaixin Wang, Hong Wang
    2009-06-01
    30481 2595 pp. 217-231
  • A Conforming DG Method for the Biharmonic Equation on Polytopal Meshes

    Xiu Ye, Shangyou Zhang
    2023-11-13
    DOI:10.4208/ijnam2023-1037
    22138 2031 pp. 855-869
  • On Discontinuous Finite Volume Approximations for Semilinear Parabolic Optimal Control Problems

    Ruchi Sandilya, Sarvesh Kumar
    2016-07-03
    32526 2756 pp. 545-568
  • An Optimal-Order Error Estimate for an $H^1$-Galerkin Mixed Method for a Pressure Equation in Compressible Porous Medium Flow

    H. Chen, Z. Zhou & H. Wang
    2012-09-01
    32957 3793 pp. 132-148
  • Global Superconvergence for Optimal Control Problems Governed by Stokes Equations

    Huipo Liu, Ningning Yan
    2006-08-01
    30490 2561 pp. 283-302
  • The Local Discontinuous Galerkin Method for Optimal Control Problem Governed by Convection Diffusion Equations

    Zhaojie Zhou, Ningning Yan
    2010-07-01
    31427 2631 pp. 681-699
  • Hybridizable Discontinuous Galerkin Method for Linear Hyperbolic Integro-Differential Equations

    Riya Jain, Sangita Yadav
    2025-02-20
    DOI:10.4208/ijnam2025-1010
    8906 663 pp. 202-225
  • $hp$-Version Analysis for Arbitrarily Shaped Elements on the Boundary Discontinuous Galerkin Method for Stokes Systems

    Efthymios N. Karatzas
    2024-06-24
    DOI:10.4208/ijnam2024-1021
    19030 1474 pp. 528-559
  • An Arbitrary-Order Ultra-Weak Discontinuous Galerkin Method for Two-Dimensional Semilinear Second-Order Elliptic Problems on Cartesian Grids

    Mahboub Baccouch
    2022-09-27
    37236 2685 pp. 864-886
  • Error Estimates of Morley Triangular Element Satisfying the Maximal Angle Condition

    S. Mao, S. Nicaise, Z.-C. Shi
    2010-07-01
    31381 2563 pp. 639-655
  • An Unconditionally Energy-Stable SAV-DG Numerical Scheme for Tumor Growth Model

    Penghao Guo, Bo Wang, Guang-An Zou
    2025-04-29
    DOI:10.4208/ijnam2025-1022
    7199 614 pp. 510-533
  • Weak Galerkin Finite Element Method Based on POD for Nonlinear Parabolic Equations

    Jianghong Zhang, Fuzheng Gao, Jintao Cui
    2025-02-20
    DOI:10.4208/ijnam2025-1008
    8871 691 pp. 157-177
  • A Stabilizer-Free Weak Galerkin Finite Element Method for the Darcy-Stokes Equations

    Kai He, Junjie Chen, Li Zhang, Maohua Ran
    2024-06-24
    DOI:10.4208/ijnam2024-1018
    20333 1503 pp. 459-475
  • Nonconforming Mixed Finite Element Methods for Stationary Incompressible Magnetohydrodynamics

    Dongyang Shi, Zhiyun Yu
    2013-10-01
    32944 2616 pp. 904-919
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