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Advances in Applied Mathematics and Mechanics
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  • Pointwise Goal-Oriented a Posteriori Error Estimates Using Dual Problems with Dirac Delta Source Terms for Linear Elliptic Problems

    Fei Li, Jingang Liu, Nianyu Yi, Liuqiang Zhong
    2025-10-14
    4486 264 Pages:222-241
  • Adaptive Finite Element Method for Simulating Graphene Surface Plasmon Resonance

    Jingrun Chen, Xuhong Liu, Jiangqiong Mao, Wei Yang
    2025-10-14
    4592 296 Pages:11-36
  • Fully Finite Element Adaptive AMG Method for Time-Space Caputo-Riesz Fractional Diffusion Equations

    X. Q. Yue, W. P. Bu, S. Shu, M. H. Liu, S. Wang
    2018-09-17
    45391 3175 Pages:1103-1125
  • 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 Simple Implementation of the Semi-Lagrangian Level-Set Method

    Weidong Shi, Jian-Jun Xu, Shi Shu
    2018-05-05
    43452 4558 Pages:104-124
  • A Self-Adaptive Algorithm of the Clean Numerical Simulation (CNS) for Chaos

    Shijie Qin, Shijun Liao
    2023-06-21
    38149 3023 Pages:1191-1215
  • Local Collocation Approach for Solving Turbulent Combined Forced and Natural Convection Problems

    Robert Vertnik, Božidar Šarler
    2021-01-21
    40733 4376 Pages:259-279
  • Adaptive Optimal Control of the Flapping Rule of a Fixed Flapping Plate

    Chui-Jie Wu, Liang Wang
    2018-08-10
    40465 3802 Pages:402-414
  • Gradient Recovery-Type a Posteriori Error Estimates for Steady-State Poisson-Nernst-Planck Equations

    Ruigang Shen, Shi Shu, Ying Yang, Mingjuan Fang
    2021-07-01
    48478 4151 Pages:1353-1383
  • Solving Delay Differential Equations Through RBF Collocation

    Francisco Bernal, Gail Gutierrez
    2018-08-10
    40939 3956 Pages:257-272
  • Simulation of Vortex Convection in a Compressible Viscous Flow with Dynamic Mesh Adaptation

    C. H. Zhou
    2014-06-01
    42691 4358 Pages:590-603
  • Moving Mesh Finite Element Method for Unsteady Navier-Stokes Flow

    Yirong Wu, Heyu Wang
    2018-08-04
    41428 3021 Pages:742-756
  • Efficient and Stable Exponential Runge-Kutta Methods for Parabolic Equations

    Liyong Zhu
    2018-05-05
    43341 4664 Pages:157-172
  • A High-Accuracy Mechanical Quadrature Method for Solving the Axisymmetric Poisson's Equation

    Hu Li, Jin Huang
    2018-05-05
    41914 2908 Pages:393-406
  • A Posteriori Error Estimate for Stabilized Low-Order Mixed FEM for the Stokes Equations

    Yinnian He, Cong Xie, Haibiao Zheng
    2021-07-01
    39423 3972 Pages:798-809
  • 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
  • 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
  • Extremum-Preserving Correction of the Nine-Point Scheme for Diffusion Equation on Distorted Meshes

    Wang Kong, Zhenying Hong, Guangwei Yuan, Zhiqiang Sheng
    2022-12-13
    39083 4971 Pages:402-427
  • Equivalent a Posteriori Error Estimators for Semilinear Elliptic Equations with Dirac Right-Hand Side

    Wenting Mao, Yanping Chen, Haitao Leng
    2020-04-10
    45139 3277 Pages:835-848
  • A Linear Doubly Stabilized Crank-Nicolson Scheme for the Allen–Cahn Equation with a General Mobility

    Dianming Hou, Lili Ju, Zhonghua Qiao
    2024-07-22
    33439 2463 Pages:1009-1038
  • Compressive Strength Prediction of High-Performance Hydraulic Concrete Using a Novel Neural Network Based on the Memristor

    Jun Lu, Lin Qiu, Yingjie Liang, Ji Lin
    2024-05-14
    25724 2688 Pages:878-904
  • An Upwind Mixed Finite Element Method on Changing Meshes for Positive Semi-Definite Oil-Water Displacement of Darcy-Forchheimer Flow in Porous Media

    Yirang Yuan, Huailing Song, Changfeng Li, Tongjun Sun
    2020-07-24
    49484 3268 Pages:1196-1223
  • Energy Conservative Local Discontinuous Galerkin Methods for the Euler-Korteweg Equations

    Xiangyi Meng, Yan Xu, J. J. W. Van der Vegt
    2025-10-14
    4535 261 Pages:134-169
  • Nonconforming FEMs for the $p$-Laplace Problem

    D. J. Liu, A. Q. Li, Z. R. Chen
    2021-07-01
    45849 4236 Pages:1365-1383
  • Explorations and Expectations of Equidistribution Adaptations for Nonlinear Quenching Problems

    Matthew A. Beauregard, Qin Sheng
    2021-01-13
    42820 4249 Pages:407-422
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