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  • A Scalar Auxiliary Variable (SAV) and Operator Splitting Compact Finite Difference Method for Peritectic Phase Field Model

    Jiajie Fei, Shusen Xie , Chunguang Chen
    2022-03-22
    30403 3243 pp. 85-100
  • Multi-Scale Non-Standard Fourth-Order PDE in Image Denoising and Its Fixed Point Algorithm

    Anis Theljani
    2021-02-04
    34025 3382 pp. 38-61
  • Numerical Investigation on Weak Galerkin Finite Elements

    Junping Wang, Xiu Ye, Shangyou Zhang
    2020-08-04
    33121 2694 pp. 517-531
  • Second-Order Two-Scale Analysis Method for Dynamic Thermo-Mechanical Problems of Composite Structures with Cylindrical Periodicity

    Hao Dong, Yufeng Nie, Junzhi Cui, Zihao Yang, Ziqiang Wang
    2018-08-15
    32499 2609 pp. 834-863
  • Conforming Mixed Triangular Prism Elements for the Linear Elasticity Problem

    Jun Hu, Rui Ma
    2018-08-14
    32189 3670 pp. 228-242
  • Mixed Finite Volume Method for Elliptic Problems on Non-Matching Multi-Block Triangular Grids

    Yanni Gao, Junliang Lv, Lanhui Zhang
    2017-06-01
    32509 45489 pp. 456-476
  • Convergence Analyses of Crank-Nicolson Orthogonal Spline Collocation Methods for Linear Parabolic Problems in Two Space Variables

    Morrakot Khebchareon, Amiya Kumar Pani, Graeme Fairweather
    2018-08-15
    33325 4111 pp. 58-72
  • Improved Error Estimates of a Finite Difference/Spectral Method for Time-Fractional Diffusion Equations

    Chunwan Lv & Chuanju Xu
    2015-12-01
    35437 2724 pp. 384-400
  • Asymptotically Exact Local Discontinuous Galerkin Error Estimates for the Linearized Korteweg-de Vries Equation in One Space Dimension

    Mahboub Baccouch
    2015-12-01
    33623 4035 pp. 162-195
  • 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
  • Nonconforming Mixed Finite Element Methods for Stationary Incompressible Magnetohydrodynamics

    Dongyang Shi, Zhiyun Yu
    2013-10-01
    32944 2616 pp. 904-919
  • Semi-Analytical Numerical Methods for Convection-Dominated Problems with Turning Points

    C.-Y. Jung, T. B. Nguyen
    2013-10-01
    32342 2670 pp. 314-332
  • 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
  • A Parameter-Uniform Finite Difference Method for Singularly Perturbed Linear Dynamical Systems

    S. Valarmathi, John J. H. Miller
    2010-07-01
    32748 2591 pp. 535-548
  • Superconvergence of Galerkin Solutions for Hammerstein Equations

    Q. Huang & H. Xie
    2009-06-01
    30465 2633 pp. 696-710
  • Multiscale Asymptotic Method for Heat Transfer Equations in Lattice-Type Structures

    F.-M. Zhai, L.-Q. Cao
    2009-06-01
    30938 2618 pp. 232-255
  • Convergence of High Order Methods for Miscible Displacement

    Y. Epshteyn, B. Rivière
    2018-07-09
    32152 2638 pp. 47-63
  • A Finite Element Method for the One-Dimensional Prescribed Curvature Problem

    Susanne C. Brenner, Li-Yeng Sung, Zhuo Wang, Yuesheng Xu
    2018-09-18
    32559 2614 pp. 646-669
  • Numerical Analysis of a Mixed Finite Element Approximation of a Coupled System Modeling Biofilm Growth in Porous Media with Simulations

    Azhar Alhammali, Malgorzata Peszynska, Choah Shin
    2024-01-03
    DOI:10.4208/ijnam2024-1002
    26506 2526 pp. 20-64
  • Orthogonal Spline Collocation for Poisson’s Equation with Neumann Boundary Conditions

    Bernard Bialecki, Nick Fisher
    2023-11-13
    DOI:10.4208/ijnam2023-1036
    22840 2106 pp. 832-854
  • 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
  • An $hp$ Finite Element Method for a Singularly Perturbed Reaction-Convection-Diffusion Boundary Value Problem with Two Small Parameters

    ​Irene Sykopetritou, Christos Xenophontos
    2021-05-25
    40241 2716 pp. 481-499
  • 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
  • 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
  • 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
  • CS-MRI Reconstruction Based on the Constrained TGV-Shearlet Scheme

    Tingting Wu, Zhi-Feng Pang, Youguo Wang, Yu-Fei Yang
    2020-05-20
    34569 2754 pp. 316-331
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