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  • A Parallel Variational Multiscale Method for Incompressible Flows Based on the Partition of Unity

    Cong Xie, Haibiao Zheng
    2014-11-01
    32967 2665 pp. 854-865
  • Local and Parallel Finite Element Algorithm Based on Multilevel Discretization for Eigenvalue Problems

    Xiaole Han, Yu Li, Hehu Xie, Chunguang You
    2018-08-15
    33353 4184 pp. 73-89
  • A Note on Optimal Spectral Bounds for Nonoverlapping Domain Decomposition Preconditioners for $hp$-Version Discontinuous Galerkin Methods

    P. F. Antonietti, P. Houston & I. Smears
    2016-07-03
    32131 2745 pp. 513-524
  • Petrov-Galerkin Method with Local Green's Functions in Singularly Perturbed Convection-Diffusion Problems

    Owe Axelsson, Evgeny Glushkov, Natalia Clushkova
    2005-02-01
    31143 2656 pp. 127-146
  • A Systematic Method to Construct Mimetic Finite-Difference Schemes for Incompressible Flows

    Chiara Sorgentone, Bernardo Favini
    2017-06-01
    32212 2727 pp. 419-436
  • Robust a-Posteriori Estimators for Multilevel Discretizations of Reaction-Diffusion Systems

    Viviane Klein, Malgorzata Peszynska
    2018-08-15
    32618 3636 pp. 1-27
  • Dynamic Load Balancing for the Parallel, Adaptive, Multigrid Solution of Implicit Phase-Field Simulations

    Meng-Huo Chen, Peter C. Bollada, Peter K. Jimack
    2019-02-22
    36204 2729 pp. 297-318
  • A Formulation for Fully Resolved Simulation (FRS) of Particle-Turbulence Interactions in Two-Phase Flows

    S. V. Apte, N. A. Patankar
    2018-07-09
    31208 2509 pp. 1-16
  • Conforming Harmonic Finite Elements on the Hsieh-Clough-Tocher Split of a Triangle

    Tatyana Sorokina, Shangyou Zhang
    2021-02-04
    35916 3853 pp. 54-67
  • An Error Estimate of a Eulerian-Lagrangian Localized Adjoint Method for a Space-Fractional Advection Diffusion Equation

    Tingting Wang, Xiaofan Li, Hong Wang
    2020-02-03
    57872 3355 pp. 151-171
  • A Numerical Approach to Study the Thermal Influence on Gas Hydrates by Physical Process Splitting

    Yury Poveshchenko, Parvin Rahimly, Orkhan Rahimly, Viktoriia Podryga, Irina Gasilova
    2020-05-20
    34865 2765 pp. 404-433
  • Analysis of Weak Galerkin Finite Element Methods with Supercloseness

    Ahmed AL-Taweel, Saqib Hussain, Xiaoshen Wang
    2022-09-27
    37514 2741 pp. 761-776
  • Validation and Verification of Turbulence Mixing Due to Richtmyer-Meshkov Instability of an Air/SF$_6$ Interface

    Tulin Kaman, Ryan Holley
    2022-09-27
    37205 2635 pp. 822-838
  • 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
  • The Mixed Finite Volume Methods for Stokes Problem Based on MINI Element Pair

    Hongtao Yang, Yonghai Li
    2022-11-28
    DOI:10.4208/ijnam2023-1006
    291983 3213 pp. 134-151
  • Adaptive Central-Upwind Scheme on Triangular Grids for the Shallow Water Model with Variable Density

    Thuong Nguyen
    2023-01-14
    DOI:10.4208/ijnam2023-1010
    29287 2561 pp. 229-266
  • A Multigrid-Based Fourth Order Finite Difference Method for Elliptic Interface Problems with Variable Coefficients

    Yiming Ren, Shan Zhao
    2025-08-04
    DOI:10.4208/ijnam2025-1038
    6370 562 pp. 860-896
  • Deep Neural Network for Solving Differential Equations Motivated by Legendre-Galerkin Approximation

    Bryce Chudomelka, Youngjoon Hong, John Morgan, Hyunwoo Kim, Jinyoung Park
    2024-10-08
    DOI:10.4208/ijnam2024-1026
    13073 1094 pp. 652-673
  • A Diffuse Domain Approximation with Transmission-Type Boundary Conditions I: Asymptotic Analysis and Numerics

    Toai Luong, Tadele Mengesha, Steven M. Wise, Ming Hei Wong
    2025-05-26
    DOI:10.4208/ijnam2025-1030
    8032 528 pp. 694-727
  • A Diffuse Domain Approximation with Transmission-Type Boundary Conditions II: Gamma-Convergence

    Toai Luong, Tadele Mengesha, Steven M. Wise, Ming Hei Wong
    2025-05-26
    DOI:10.4208/ijnam2025-1031
    7917 536 pp. 728-744
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