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Advances in Applied Mathematics and Mechanics
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  • Time-Domain Numerical Solutions of Maxwell Interface Problems with Discontinuous Electromagnetic Waves

    Ya Zhang, Duc Duy Nguyen, Kewei Du, Jin Xu, Shan Zhao
    2018-05-05
    41886 4574 Pages:353-385 Open-access
  • High Order Deep Domain Decomposition Method for Solving High Frequency Interface Problems

    Zhipeng Chang, Ke Li, Xiufen Zou, Xueshuang Xiang
    2023-10-11
    30476 2735 Pages:1602-1630
  • A Nonconforming Nitsche's Extended Finite Element Method for Elliptic Interface Problems

    Nan Wang, Jinru Chen
    2020-06-01
    48025 3484 Pages:879-901
  • An Immersed Finite Element Method for Elliptic Interface Problems with Multi-Domain and Triple Junction Points

    Yuan Chen, Songming Hou, Xu Zhang
    2019-06-24
    47276 3257 Pages:1005-1021
  • A Numerical Method on Eulerian Grids for Two-Phase Compressible Flow

    Yonghui Guo, Ruo Li, Chengbao Yao
    2018-05-05
    42489 4559 Pages:187-212 Open-access
  • An Immersed Finite Element Method for the Elasticity Problems with Displacement Jump

    Daehyeon Kyeong, Do Young Kwak
    2018-05-05
    41199 3021 Pages:407-428
  • A Conservative Sharp Interface Method for Compressible Two-Medium Flows on Unstructured Triangular Meshes

    Tiao Lu, Xingchun Yu, Wenqi Yao
    2025-11-22
    149 4
  • A FEM for Solving Two-Dimensional Nonlinear Elliptic-Parabolic Interface Problems with Nonhomogeneous Jump Conditions

    Liqun Wang, Songming Hou, Liwei Shi
    2018-09-17
    43586 2971 Pages:752-766
  • A Radial Basis Function Meshless Numerical Method for Solving Interface Problems in Irregular Domains

    Xin Lu, Ping Zhang, Liwei Shi, Songming Hou, Ying Kuang
    2020-12-21
    47198 3294 Pages:645-670
  • Immersed Finite Element Method for Eigenvalue Problems in Elasticity

    Seungwoo Lee, Do Young Kwak, Imbo Sim
    2018-09-17
    44692 3092 Pages:424-444
  • Two-Grid Immersed Finite Volume Element Methods for Semi-Linear Elliptic Interface Problems with Non-Homogeneous Jump Conditions

    Quanxiang Wang, Liqun Wang & Jianqiang Xie
    2022-04-11
    44134 3561 Pages:842-870
  • The Fictitious Domain Method with Sharp Interface for Elasticity Systems with General Jump Embedded Boundary Conditions

    Mohamed Kara, Salim Mesbahi, Philippe Angot
    2020-10-20
    49530 4513 Pages:119-139
  • The Adaptive Immersed Finite Element Method for the Variational Discretization of the Elliptic Optimal Control Problem with Interface

    Yanzhen Chang, Mengxue Fan, Liang Ge
    2025-10-29
    4481 106 Pages:700-723
  • A Sharp Interface Method for Compressible Multi-Phase Flows Based on the Cut Cell and Ghost Fluid Methods

    Xiao Bai, Xiaolong Deng
    2018-05-05
    44977 3085 Pages:1052-1075
  • Petrov-Galerkin Immersed Iso$P_2-P_0$ Interface Method for Solving Stokes Interface Problem

    Na Zhu, Hongxing Rui
    2025-03-14
    11121 765 Pages:909-921
  • Algebraic Multigrid Preconditioning for Finite Element Solution of Inhomogeneous Elastic Inclusion Problems in Articular Cartilage

    Zhengzheng Hu, Mansoor A Haider
    2021-07-01
    40411 4080 Pages:729-744
  • A Compact Eulerian Interface–Capturing Algorithm for Compressible Multimaterial Elastic–Plastic Flows with Mie–Grüneisen Equation of State

    Xiang Li, Dong-Jun Ma, Nan-Sheng Liu, Pei Wang
    2022-12-13
    38406 2884 Pages:485-521
  • A Method of Lines Based on Immersed Finite Elements for Parabolic Moving Interface Problems

    Tao Lin, Yanping Lin, Xu Zhang
    2021-01-13
    42468 4124 Pages:548-568
  • Domain-Decomposition Localized Method of Fundamental Solutions for Large-Scale Heat Conduction in Anisotropic Layered Materials

    Shuainan Liu, Zhuojia Fu, Yan Gu
    2022-02-25
    47675 3308 Pages:759-776
  • An Implicit Block LU-SGS Algorithm-Based Lattice Boltzmann Flux Solver for Simulation of Hypersonic Flows

    Z. X. Meng, S. Z. Li, K. Peng, W. H. Zhang
    2019-01-04
    47040 5066 Pages:72-90
  • Partitioned Time Stepping Method for Fully Evolutionary Navier-Stokes/Darcy Flow with BJS Interface Conditions

    Hongen Jia, Yusha Zhang, Jiaping Yu
    2019-01-11
    44543 3175 Pages:381-405
  • A Switch Function-Based Gas-Kinetic Scheme for Simulation of Inviscid and Viscous Compressible Flows

    Yu Sun, Shu Chang, Liming Yang, C. J. Teo
    2018-05-05
    43082 3014 Pages:703-721
  • Unified Solution of Conjugate Fluid and Solid Heat Transfer – Part I. Solid Heat Conduction

    Shujie Li, Lili Ju
    2023-02-24
    37719 3196 Pages:814-830
  • Modified Ghost Fluid Method as Applied to Fluid-Plate Interaction

    Liang Xu, Tiegang Liu
    2014-06-01
    46075 5213 Pages:24-48
  • A Robust Riemann Solver for Multiple Hydro-Elastoplastic Solid Mediums

    Ruo Li, Yanli Wang, Chengbao Yao
    2020-03-06
    48331 4824 Pages:212-250 Open-access
  • A Weak Formulation for Solving the Elliptic Interface Problems with Imperfect Contact

    Liqun Wang, Songming Hou, Liwei Shi
    2018-05-05
    44977 3021 Pages:1189-1205
  • Development of Lattice Boltzmann Flux Solver for Simulation of Incompressible Flows

    C. Shu, Y. Wang, C. J. Teo, J. Wu
    2014-06-01
    44549 4558 Pages:436-460
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