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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
    DOI:10.4208/ijnam2023-1005
    292706 3163 pp. 92-133
  • Energy Stable Time Domain Finite Element Methods for Nonlinear Models in Optics and Photonics

    Asad Anees, Lutz Angermann
    2022-06-22
    37594 2648 pp. 511-541
  • Convergence Analysis of Nitsche Extended Finite Element Methods for H(Curl)-Elliptic Interface Problems

    Nan Wang, Jinru Chen
    2022-06-22
    38226 2708 pp. 487-510
  • A Positivity-Preserving and Convergent Numerical Scheme for the Binary Fluid-Surfactant System

    Yuzhe Qin, Cheng Wang, Zhengru Zhang
    2021-03-25
    38592 2624 pp. 399-425
  • Error Estimates for the Laplace Interpolation on Convex Polygons

    Weiwei Zhang, Long Hu, Zongze Yang, Yufeng Nie
    2021-03-25
    38833 2616 pp. 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
    38761 2629 pp. 311-323
  • Locally Conservative Serendipity Finite Element Solutions for Elliptic Equations

    Yanhui Zhou, Qingsong Zou
    2021-02-04
    33340 3330 pp. 19-37
  • Connection Between Grad-Div Stabilized Stokes Finite Elements and Divergence-Free Stokes Finite Elements

    Michael Neilan, Ahmed Zytoon
    2020-10-27
    35775 2790 pp. 839-857
  • The Weak Galerkin Finite Element Method for Solving the Time-Dependent Stokes Flow

    Xiuli Wang, Yuanyuan Liu, Qilong Zhai
    2020-08-04
    35825 2685 pp. 732-745
  • Locally Conservative Finite Element Solutions for Parabolic Equations

    Wenbo Gong, Qingsong Zou
    2020-08-04
    35129 2580 pp. 679-694
  • Error Analysis of an Immersed Finite Element Method for Time-Dependent Beam Interface Problems

    Min Lin
    2019-02-21
    34471 2677 pp. 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
    34920 2902 pp. 575-589
  • FEM-Analysis on Graded Meshes for Turning Point Problems Exhibiting an Interior Layer

    Simon Becher
    2018-11-22
    33707 2745 pp. 499-518
  • A Second-Order Crank-Nicolson Method for Time-Fractional PDEs

    Max Gunzburger, Jilu Wang
    2019-02-22
    37983 2881 pp. 225-239
  • Weak Galerkin Finite Element Method for Second Order Parabolic Equations

    Hongqin Zhang, Yongkui Zou, Yingxiang Xu, Qilong Zhai, Hua Yue
    2016-07-03
    32562 2784 pp. 525-544
  • High Order Galerkin Methods with Graded Meshes for Two-Dimensional Reaction-Diffusion Problems

    Zhiwen Li, Bin Wu, Yuesheng Xu
    2016-05-03
    32008 2637 pp. 319-343
  • Analysis of the Discontinuous Galerkin Interior Penalty Method with Solenoidal Approximations for the Stokes Equations

    Adeline Montlaur, Sonia Fernandez-Mendez
    2014-11-01
    32454 2707 pp. 715-725
  • Higher Degree Immersed Finite Element Methods for Second-Order Elliptic Interface Problems

    S. Adjerid, M. Ben-Romdhane & T. Lin
    2014-11-01
    33066 2650 pp. 541-566
  • Local Error Estimates of the LDG Method for 1-D Singularly Perturbed Problems

    Huiqing Zhu, Zhimin Zhang
    2013-10-01
    32347 2690 pp. 350-373
  • Stability and Dispersion Analysis of the Staggered Discontinuous Galerkin Method for Wave Propagation

    Hiu Ning Chan, Eric T. Chung, Gary Cohen
    2018-08-15
    35127 4192 pp. 233-256
  • $N$-Simplex Crouzeix-Raviart Element for the Second Order Elliptic/Eigenvalue Problems

    Y. Yang, F. Lin & Z. Zhang
    2009-06-01
    30753 2598 pp. 615-626
  • Convergence of High Order Methods for Miscible Displacement

    Y. Epshteyn, B. Rivière
    2018-07-09
    32152 2638 pp. 47-63
  • Nonstandard Nonconforming Approximation of the Stokes Problem, I: Periodic Boundary Conditions

    J.-L. Guermond
    2005-02-01
    29691 2604 pp. 345-354
  • Robin Transmission Conditions for Overlapping Additive Schwarz Method Applied to Linear Elliptic Problems

    Hongwei Li, Jiachang Sun
    2005-11-03
    30576 2568 pp. 83-99
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