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  • Distributed Lagrange Multiplier-Fictitious Domain Finite Element Method for Stokes Interface Problems

    Andrew Lundberg, Pengtao Sun, Cheng Wang
    2019-08-09
    35804 2740 pp. 939-963
  • Fitted Front Tracking Methods for Two-Phase Incompressible Navier–Stokes Flow: Eulerian and ALE Finite Element Discretizations

    Marco Agnese, Robert Nürnberg
    2020-08-04
    35815 2691 pp. 613-642
  • Adaptive Mesh Refinement for Elliptic Interface Problems Using the Non-Conforming Immersed Finite Element Method

    C.-T. Wu, Z. Li, M.-C. Lai
    2011-08-01
    33282 2648 pp. 466-483
  • A Finite Difference Method for an Interface Problem with a Nonlinear Jump Condition

    So-Hsiang Chou, Caleb Khaemba, Alice Wachira
    2025-08-04
    DOI:10.4208/ijnam2025-1035
    6437 540 pp. 801-823
  • Mortar Adaptivity in Mixed Methods for Flow in Porous Media

    Malgorzata Peszyńska
    2005-02-01
    30328 2516 pp. 241-282
  • Numerical Approximation of Viscoelastic Fluid-Structure Interaction Problems

    Hyesuk Lee, Shuhan Xu
    2018-08-15
    32403 2573 pp. 579-593
  • Superconvergence and Flux Recovery for an Enriched Finite Element Method

    Champike Attanayake, So-Hsiang Chou
    2021-08-09
    42473 2629 pp. 656-673
  • A Numerical Method for Solving the Variable Coefficient Wave Equation with Interface Jump Conditions

    Liqun Wang, Songming Hou, Liwei Shi, Ping Zhang
    2018-10-19
    34819 4255 pp. 1-17
  • 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
  • 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
  • Discrete Maximum Principles for FEM Solutions of Some Nonlinear Elliptic Interface Problems

    J. Karátson, S. Korotov
    2009-06-01
    31500 3824 pp. 1-16
  • Analysis of a Special Immersed Finite Volume Method for Elliptic Interface Problems

    Kai Liu, Qingsong Zou
    2019-08-09
    35227 2733 pp. 964-984
  • Degenerate Area Preserving Surface Allen-Cahn Equation and Its Sharp Interface Limit

    Michal Beneš, Miroslav Kolář, Jan Magnus Sischka, Axel Voigt
    2025-05-26
    DOI:10.4208/ijnam2025-1026
    7888 567 pp. 603-613
  • Multi-Algorithmic Methods for Coupled Hyperbolic-Parabolic Problems

    A. Ern, J. Proft
    2006-03-01
    30162 3714 pp. 94-114
  • The Immersed Finite Element Method for Parabolic Problems Using the Laplace Transformation in Time Discretization

    Tao Lin, Dongwoo Sheen
    2013-10-01
    32465 2649 pp. 298-313
  • Simulating the Axisymmetric Interfacial Flows with Insoluble Surfactant by Immersed Boundary Method

    M.-C. Lai, C.-Y. Huang, Y.-M. Huang
    2018-08-15
    33271 3629 pp. 105-117
  • Error Bounds on Semi-Discrete Finite Element Approximation of a Moving-Boundary System Arising in Concrete Corrosion

    Adrian Muntean
    2008-05-01
    31654 3451 pp. 353-372
  • An Immersed-Finite-Element Particle-in-Cell Simulation Tool for Plasma Surface Interaction

    Y.-C. Chu, D.-R. Han, Y. Cao, X.-M. He, J. Wang
    2016-05-08
    34092 2768 pp. 175-200
  • An Ensemble-Based Conventional Turbulence Model for Fluid-Fluid Interaction

    Jeffrey M. Connors
    2018-08-15
    32532 2615 pp. 492-519
  • A Partitioned Method with Different Time Steps for Coupled Stokes and Darcy Flows with Transport

    Jingyuan Zhang, Hongxing Rui, Yanzhao Cao
    2018-11-22
    33831 2741 pp. 463-498
  • A Domain Decomposition Method with Lagrange Multiplier Based on the Pointwise Matching Condition

    Dudu Sun, Qiya Hu, Shi Shu
    2009-06-01
    31571 3709 pp. 147-160
  • Error Analysis of an Immersed Finite Element Method for Time-Dependent Beam Interface Problems

    Min Lin
    2019-02-21
    34471 2677 pp. 626-646
  • Fast Numerical Solvers for Subdiffusion Problems with Spatial Interfaces

    Boyang Yu, Yonghai Li, Jiangguo Liu
    2024-05-20
    DOI:10.4208/ijnam2024-1017
    20018 1586 pp. 431-458
  • The Navier-Stokes-$\omega$/Navier-Stokes-$\omega$ Model for Fluid-Fluid Interaction Using an Unconditionally Stable Finite Element Scheme

    Qinghui Wang, Pengzhan Huang, Yinnian He
    2025-02-20
    DOI:10.4208/ijnam2025-1009
    8735 676 pp. 178-201
  • 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
  • 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
  • Analysis of Harmonic Average Method for Interface Problems with Discontinuous Solutions and Fluxes

    Kejia Pan, Hengrui Xu, Zhilin Li
    2026-03-11
    DOI:10.4208/ijnam2026-1016
    279 59 pp. 390–407
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