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International Journal of Numerical Analysis and Modeling
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  • 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
    292493 3029 Pages:92-133
  • Energy Stable Time Domain Finite Element Methods for Nonlinear Models in Optics and Photonics

    Asad Anees, Lutz Angermann
    2022-06-22
    37358 2596 Pages:511-541
  • Convergence Analysis of Nitsche Extended Finite Element Methods for H(Curl)-Elliptic Interface Problems

    Nan Wang, Jinru Chen
    2022-06-22
    38024 2636 Pages:487-510
  • A Positivity-Preserving and Convergent Numerical Scheme for the Binary Fluid-Surfactant System

    Yuzhe Qin, Cheng Wang, Zhengru Zhang
    2021-03-25
    38404 2573 Pages:399-425
  • Error Estimates for the Laplace Interpolation on Convex Polygons

    Weiwei Zhang, Long Hu, Zongze Yang, Yufeng Nie
    2021-03-25
    38615 2547 Pages:324-338
  • A Stabilizer Free Weak Galerkin Finite Element Method for General Second-Order Elliptic Problem

    Ahmed Al-Taweel, Saqib Hussain, Runchang Lin, Peng Zhu
    2021-03-25
    38574 2572 Pages:311-323
  • Locally Conservative Serendipity Finite Element Solutions for Elliptic Equations

    Yanhui Zhou, Qingsong Zou
    2021-02-04
    33164 3267 Pages:19-37
  • Connection Between Grad-Div Stabilized Stokes Finite Elements and Divergence-Free Stokes Finite Elements

    Michael Neilan, Ahmed Zytoon
    2020-10-27
    35556 2731 Pages:839-857
  • The Weak Galerkin Finite Element Method for Solving the Time-Dependent Stokes Flow

    Xiuli Wang, Yuanyuan Liu, Qilong Zhai
    2020-08-04
    35639 2623 Pages:732-745
  • Locally Conservative Finite Element Solutions for Parabolic Equations

    Wenbo Gong, Qingsong Zou
    2020-08-04
    34926 2526 Pages:679-694
  • Error Analysis of an Immersed Finite Element Method for Time-Dependent Beam Interface Problems

    Min Lin
    2019-02-21
    34324 2623 Pages:626-646
  • Improved Error Estimation for the Partially Penalized Immersed Finite Element Methods for Elliptic Interface Problems

    Ruchi Guo, Tao Lin, Qiao Zhuang
    2019-02-21
    34754 2830 Pages:575-589
  • FEM-Analysis on Graded Meshes for Turning Point Problems Exhibiting an Interior Layer

    Simon Becher
    2018-11-22
    33548 2685 Pages:499-518
  • A Second-Order Crank-Nicolson Method for Time-Fractional PDEs

    Max Gunzburger, Jilu Wang
    2019-02-22
    37766 2809 Pages:225-239
  • Weak Galerkin Finite Element Method for Second Order Parabolic Equations

    H.-Q. Zhang, Y.-K. Zou, Y.-X. Xu, Q.-L. Zhai & H. Yue
    2016-07-03
    32376 2720 Pages:525-544
  • High Order Galerkin Methods with Graded Meshes for Two-Dimensional Reaction-Diffusion Problems

    Z.-W. Li, B. Wu & Y.-S. Xu
    2016-05-03
    31866 2577 Pages:319-343
  • Analysis of the Discontinuous Galerkin Interior Penalty Method with Solenoidal Approximations for the Stokes Equations

    A. Montlaur & S. Fernandez-Mendez
    2014-11-01
    32266 2646 Pages:715-725
  • Higher Degree Immersed Finite Element Methods for Second-Order Elliptic Interface Problems

    S. Adjerid, M. Ben-Romdhane & T. Lin
    2014-11-01
    32891 2611 Pages:541-566
  • Local Error Estimates of the LDG Method for 1-D Singularly Perturbed Problems

    H. Zhu & Z. Zhang
    2013-10-01
    32175 2646 Pages:350-373
  • Stability and Dispersion Analysis of the Staggered Discontinuous Galerkin Method for Wave Propagation

    Hiu Ning Chan, Gary Cohen & Eric T. Chung
    2018-08-15
    34921 4092 Pages:233-256
  • $N$-Simplex Crouzeix-Raviart Element for the Second Order Elliptic/Eigenvalue Problems

    Y. Yang, F. Lin & Z. Zhang
    2009-06-01
    30601 2543 Pages:615-626
  • Convergence of High Order Methods for Miscible Displacement

    Y. Epshteyn, B. Rivière
    2018-07-09
    31949 2565 Pages:47-63
  • Nonstandard Nonconforming Approximation of the Stokes Problem, I: Periodic Boundary Conditions

    J.-L. Guermond
    2005-02-01
    29542 2552 Pages:345-354
  • Robin Transmission Conditions for Overlapping Additive Schwarz Method Applied to Linear Elliptic Problems

    H. Li & J. Sun
    2005-11-03
    30419 2512 Pages:83-99
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