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Advances in Applied Mathematics and Mechanics
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  • A Type of Cascadic Adaptive Finite Element Method for Eigenvalue Problem

    Fei Xu, Qiumei Huang, Shuangshuang Chen, Hongkun Ma
    2020-04-10
    44804 3231 Pages:774-796
  • Time-Space Adaptive Finite Element Method for Nonlinear Schrödinger Equation

    Yaoyao Chen, Ying Liu, Hao Wang
    2024-12-02
    13959 1026 Pages:207-223
  • On Scientific Data and Image Compression Based on Adaptive Higher-Order FEM

    P. Solin, D. Andrs
    2018-08-10
    43785 4688 Pages:56-68
  • Troubled-Cell Indicators Using K-Means Clustering for RKDG Methods on Triangular Meshes and $h$-Adaptive Rectangular Meshes

    Haiyun Wang, Zhen Gao, Haijin Wang, Qiang Zhang, Hongqiang Zhu
    2025-03-14
    11037 665 Pages:1014-1036
  • An Adaptive Finite Element Solver for Demagnetization Field Calculation

    Lei Yang, Guanghui Hu
    2019-06-24
    48579 3259 Pages:1048-1063
  • Convergence and Quasi-Optimality of an Adaptive Continuous Interior Penalty Finite Element Method

    Lingxue Zhu, Zhenhua Zhou
    2019-01-11
    43335 3161 Pages:428-451
  • Convergence and Complexity of an Adaptive Planewave Method for Eigenvalue Computations

    Xiaoying Dai, Yan Pan, Bin Yang, Aihui Zhou
    2024-02-29
    27580 2607 Pages:636-666
  • An Adaptive High-Order Surface Finite Element Method for Polymeric Self-Consistent Field Theory on General Curved Surfaces

    Kai Jiang, Xin Wang, Jianggang Liu, Huayi Wei
    2024-12-02
    14316 1048 Pages:123-147
  • Numerical Simulation of a Multi-Frequency Resistivity Logging-While-Drilling Tool Using a Highly Accurate and Adaptive Higher-Order Finite Element Method

    Zhonghua Ma, Dejun Liu, Hui Li, Xinsheng Gao
    2012-04-01
    41799 4518 Pages:439-453
  • An $h$-Adaptive Finite Element Solution of the Relaxation Non-Equilibrium Model for Gravity-Driven Fingers

    Huanying Bian, Yedan Shen, Guanghui Hu
    2021-11-17
    49444 3990 Pages:1418-1440
  • A Generalization of a Troubled-Cell Indicator to $h$-Adaptive Meshes for Discontinuous Galerkin Methods

    Hongqiang Zhu, Wenxiu Han, Haijin Wang
    2020-07-24
    49335 3287 Pages:1224-1246
  • Adaptive Finite Element Approximations for a Class of Nonlinear Eigenvalue Problems in Quantum Physics

    Huajie Chen, Xingao Gong, Lianhua He, Aihui Zhou
    2011-03-01
    41325 4122 Pages:493-518
  • A Goal-Oriented Adaptive Moreau-Yosida Algorithm for Control- and State-Constrained Elliptic Control Problems

    Andreas Günther, Moulay Hicham Tber
    2018-05-05
    40767 3066 Pages:426-448
  • An Adaptive Time and Space Discretization Approach for Simulating Unsteady Navier-Stokes Flows

    Biao Peng, Chunhua Zhou, Junqiang Ai
    2019-01-11
    44173 3108 Pages:406-427
  • 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
  • ALM-PINN: An Adaptive Physical Informed Neural Network Optimized by Levenberg-Marquardt for Efficient Solution of Singular Perturbation Problems

    Yinghao Chen, Muzhou Hou, Jingying Hu, Yang Xiao, Jinyong Ying, Ting Zhang
    2025-09-29
    5014 252 Pages:1841-1866
  • The Ghost Cell Method and Its Applications for Inviscid Compressible Flow on Adaptive Tree Cartesian Grids

    Jianming Liu, Ning Zhao, Ou Hu
    2018-08-10
    41404 4658 Pages:664-682
  • Adaptive Finite Element Solutions of a Diffusion Model for Drug Release in PLGA Microspheres

    Hongyu Chen, Guanghui Hu, Defang Ouyang
    2025-11-19
    209 3
  • An Adaptive Semi-Lagrangian Level-Set Method for Convection-Diffusion Equations on Evolving Interfaces

    Weidong Shi, Jianjun Xu, Shi Shu
    2021-07-01
    42691 3824 Pages:1364-1382
  • Adaptive $hp$-FEM with Arbitrary-Level Hanging Nodes for Maxwell's Equations

    Pavel Solin, Lenka Dubcova, Ivo Dolezel
    2019-02-13
    40054 3729 Pages:518-532
  • Adjoint-Based Adaptive Isogeometric Discontinuous Galerkin Method for Euler Equations

    Shengjiao Yu, Renzhong Feng, Huiqiang Yue, Zheng Wang, Tiegang Liu
    2018-09-17
    44540 3165 Pages:652-672
  • Partial Topology Identification of Stochastic Multi-Weighted Complex Networks Based on Graph-Theoretic Method and Adaptive Synchronization

    Huiling Chen, Chunmei Zhang, Yuli Feng, Qin Xu
    2023-10-11
    48765 2732 Pages:1428-1455
  • Adaptive Relaxation Strategy on Basic Iterative Methods for Solving Linear Systems with Single and Multiple Right-Hand Sides

    Yuan Yuan, Shuli Sun, Pu Chen, Mingwu Yuan
    2020-12-18
    45378 3334 Pages:378-403
  • Error Analysis and Adaptive Methods of Least Squares Nonconforming Finite Element for the Transport Equations

    Huipo Liu, Shuanghu Wang, Hongbin Han
    2018-05-05
    42569 2937 Pages:871-886
  • Spatial-Temporal Adaptive-Order Positivity-Preserving WENO Finite Difference Scheme with Relaxed CFL Condition for Euler Equations with Extreme Conditions

    Jia-Le Li, Wai-Sun Don, Cai-Feng Wang, Bao-Shan Wang
    2025-03-14
    11235 796 Pages:804-839
  • Direct Numerical Simulation of a Freely Falling Thick Disk

    Pan Zhang, Zhenhua Xia, Qingdong Cai
    2019-04-16
    48392 3170 Pages:608-618
  • On Convergence of a Least-Squares Kansa's Method for the Modified Helmholtz Equations

    Ting-On Kwok, Leevan Ling
    2018-08-10
    41171 4088 Pages:367-382
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