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  • Auto-Stabilized Weak Galerkin Finite Element Methods for Biharmonic Equations on Polytopal Meshes Without Convexity Assumptions

    Chunmei Wang
    2025-10-21
    DOI:10.4208/ijnam2026-1004
    5701 403 pp. 83-102
  • Discontinuous Galerkin Methods for the Biharmonic Problem on Polygonal and Polyhedral Meshes

    Zhaonan Dong
    2019-08-09
    33831 2662 pp. 825-846
  • 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
  • A Posteriori Error Analysis for an Ultra-Weak Discontinuous Galerkin Approximations of Nonlinear Second-Order Two-Point Boundary-Value Problems

    Mahboub Baccouch
    2023-09-19
    DOI:10.4208/ijnam2023-1027
    24631 2155 pp. 618-646
  • 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
  • L​ow Regularity Primal-Dual Weak Galerkin Finite Element Methods for Ill-Posed Elliptic Cauchy Problems

    Chunmei Wang
    2022-03-22
    30400 3127 pp. 33-51
  • A Modified Primal-Dual Weak Galerkin Finite Element Method for Second Order Elliptic Equations in Non-Divergence Form

    ​Chunmei Wang
    2021-05-25
    40639 2783 pp. 500-523
  • Analysis of a Second-Order Decoupled Time-Stepping Scheme for Transient Viscoelastic Flow

    S. S. Ravindran
    2021-02-04
    35471 4234 pp. 87-109
  • 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
  • A Total Variation Discontinuous Galerkin Approach for Image Restoration

    Benjamin Stamm, Thomas P. Wihler
    2015-12-01
    33794 4084 pp. 81-93
  • Weak Galerkin Finite Element Methods on Polytopal Meshes

    Lin Mu, Junping Wang, Xiu Ye
    2015-12-01
    34511 4694 pp. 31-53
  • 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
  • A Slope Limiting Procedure in Discontinuous Galerkin Finite Element Method for Gasdynamics Applications

    S. Tu, S. Aliabadi
    2005-02-01
    31608 2719 pp. 163-178
  • 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
  • Analysis of an Augmented Fully-Mixed Finite Element Method for a Three-Dimensional Fluid-Solid Interaction Problem

    G. N. Gatica, A. Marquez, S. Meddahi
    2014-11-01
    33104 2621 pp. 624-656
  • Galerkin Characteristics Method for Convection-Diffusion Problems with Memory Terms

    J. Kacur, M. S. Mahmood
    2009-06-01
    31660 3680 pp. 89-109
  • A Computational Study of Preconditioning Techniques for the Stochastic Diffusion Equation with Lognormal Coefficient

    Eugenio Aulisa, Giacomo Capodaglio, Guoyi Ke
    2022-09-27
    41693 2992 pp. 220-236
  • Numerical Simulations for Shallow Water Flows over Erodible Beds by Central DG Methods

    Weizhi Xian, Aimin Chen, Yongping Cheng, Haiyun Dong
    2021-03-24
    32518 2523 pp. 143-164
  • 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
  • Fast Solvers for the Symmetric IPDG Discretization of Second Order Elliptic Problems

    Liuqiang Zhong, Eric T. Chung, Chunmei Liu
    2015-12-01
    33436 2791 pp. 455-475
  • 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
  • Numerical Analysis of a Structure-Preserving Space-Discretization for an Anisotropic and Heterogeneous Boundary Controlled $N$-Dimensional Wave Equation as a Port-Hamiltonian System

    Ghislain Haine, Denis Matignon, Anass Serhani
    2022-11-28
    DOI:10.4208/ijnam2023-1005
    292706 3163 pp. 92-133
  • Reduced Basis Finite Element Methods for the Korteweg-de Vries-Burgers Equation

    Guang-Ri Piao, Fuxia Yao, Wenju Zhao
    2022-09-27
    40736 2953 pp. 369-385
  • Weakly Regular Sturm-Liouville Problems: A Corrected Spectral Matrix Method

    Cecilia Magherini
    2021-02-04
    33071 3242 pp. 62-78
  • Error Analysis of an Immersed Finite Element Method for Euler-Bernoulli Beam Interface Problems

    Min Lin, Tao Lin, Huili Zhang
    2017-10-03
    33150 2674 pp. 822-841
  • Spectral Approximation of Time-Harmonic Maxwell Equations in Three-Dimensional Exterior Domains

    Lina Ma, Jia Shen, Li-Lian Wang
    2015-12-01
    34390 2699 pp. 366-383
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