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  • A Node-Based Smoothed Finite Element Method with Linear Gradient Fields for Elastic Obstacle Scattering Problems

    Junhong Yue, Yu Wang, Yan Li, Ming Li
    2023-10-11
    DOI:10.4208/aamm.OA-2021-0270
    31547 3057 pp. 1562-1601
  • On Scientific Data and Image Compression Based on Adaptive Higher-Order FEM

    P. Solin, D. Andrs
    2018-08-10
    44006 4816 pp. 56-68
  • Adaptive $hp$-FEM with Arbitrary-Level Hanging Nodes for Maxwell's Equations

    Pavel Solin, Lenka Dubcova, Ivo Dolezel
    2019-02-13
    DOI:10.4208/aamm.10-m1012
    40315 3933 pp. 518-532
  • Unified a Priori Error Estimate and a Posteriori Error Estimate of CIP-FEM for Elliptic Equations

    Jianye Wang, Rui Ma
    2018-05-05
    DOI:10.4208/aamm.2014.m834
    42292 3051 pp. 517-535
  • 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
    DOI:10.4208/aamm.10-m11158
    42020 4653 pp. 439-453
  • Discrete Maximum Principle for Poisson Equation with Mixed Boundary Conditions Solved by $hp$-FEM

    Tomáš Vejchodský, Pavel Šolín
    2018-08-10
    41072 4389 pp. 201-214
  • Two-Level Hierarchical PCG Methods for the Quadratic FEM Discretizations of 2D Concrete Aggregate Models

    Yingxiong Xiao, Heng Chen and Lingjie Xie
    2021-07-01
    DOI:10.4208/aamm.OA-2019-0002
    48181 4259 pp. 1376-1397
  • 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
    DOI:10.4208/aamm.OA-2023-0061
    14758 1288 pp. 123-147
  • Unconditional Stability and Error Estimates of the Modified Characteristics FEM for the Time-Dependent Viscoelastic Oldroyd Flows

    Yang Yang, Yanfang Lei, Zhiyong Si
    2020-12-18
    DOI:10.4208/aamm.OA-2018-0169
    44222 3459 pp. 311-332
  • An Efficient and Unconditionally Convergent Galerkin Finite Element Method for the Nonlinear Schrödinger Equation in High Dimensions

    Yue Cheng, Tingchun Wang, Boling Guo
    2021-04-13
    DOI:10.4208/aamm.OA-2020-0033
    63078 4106 pp. 735-760
  • Fluid-Structure Interaction in Microchannel Using Lattice Boltzmann Method and Size-Dependent Beam Element

    V. Esfahanian, E. Dehdashti, A. M. Dehrouyeh-Semnani
    2014-06-01
    DOI:10.4208/aamm.2013.m152
    42645 4593 pp. 345-358
  • Finite Element Solution for MHD Flow of Nanofluids with Heat and Mass Transfer Through a Porous Media with Thermal Radiation, Viscous Dissipation and Chemical Reaction Effects

    Shafqat Hussain
    2018-05-05
    DOI:10.4208/aamm.2014.m793
    43134 3092 pp. 904-923
  • Nonconforming Mixed FEM Analysis for Multi-Term Time-Fractional Mixed Sub-Diffusion and Diffusion-Wave Equation with Time-Space Coupled Derivative

    Fangfang Cao, Yanmin Zhao, Fenling Wang, Yanhua Shi, Changhui Yao
    2022-12-13
    DOI:10.4208/aamm.OA-2021-0263
    40942 3320 pp. 322-358
  • A Comparative Study of Finite Element and Finite Difference Methods for Two-Dimensional Space-Fractional Advection-Dispersion Equation

    Guofei Pang, Wen Chen, Kam Yim Sze
    2018-05-05
    DOI:10.4208/aamm.2014.m693
    43895 4731 pp. 166-186
  • An Alternating Direction Method of Multipliers for Optimal Control Problems Constrained with Elliptic Equations

    Jinda Yang, Kai Zhang, Haiming Song, Ting Cheng
    2020-01-17
    DOI:10.4208/aamm.OA-2018-0198
    48570 3368 pp. 336-361
  • A Coercivity Result of Quadratic Finite Volume Element Schemes over Triangular Meshes

    Xueying Wen, Yanhui Zhou
    2023-04-11
    DOI:10.4208/aamm.OA-2021-0311
    38036 3260 pp. 901-931
  • A Posteriori Error Estimate for Stabilized Low-Order Mixed FEM for the Stokes Equations

    Yinnian He, Cong Xie, Haibiao Zheng
    2021-07-01
    DOI:10.4208/aamm.09-m0995
    39633 4093 pp. 798-809
  • SAV Finite Element Method for the Peng-Robinson Equation of State with Dynamic Boundary Conditions

    Changhui Yao, Zhaoyue Du, Lei Yang
    2022-10-24
    DOI:10.4208/aamm.OA-2021-0216
    44918 4214 pp. 139-158
  • The Crank-Nicolson/Explicit Scheme for the Natural Convection Equations with Nonsmooth Initial Data

    Jinting Yang, Hongxia Liang, Tong Zhang
    2021-07-01
    DOI:10.4208/aamm.OA-2019-0206
    47799 4166 pp. 1481-1519
  • Error Analysis for a Non-Monotone FEM for a Singularly Perturbed Problem with Two Small Parameters

    Yanping Chen, Haitao Leng, Li-Bin Liu
    2018-03-30
    DOI:10.4208/aamm.2013.m399
    41849 3211 pp. 196-206
  • Analysis of Two-Dimensional Thin Structures (from Micro- to Nano-Scales) Using the Singular Boundary Method

    Dejian Shen, Yan Gu
    2018-05-05
    DOI:10.4208/aamm.2013.m454
    42256 3114 pp. 597-609
  • Petrov-Galerkin Immersed Iso$P_2-P_0$ Interface Method for Solving Stokes Interface Problem

    Na Zhu, Hongxing Rui
    2025-03-14
    DOI:10.4208/aamm.OA-2022-0268
    11499 852 pp. 909-921
  • Convergence Analysis of a BDF Finite Element Method for the Resistive Magnetohydrodynamic Equations

    Lina Ma, Cheng Wang, Zeyu Xia
    2024-12-31
    DOI:10.4208/aamm.OA-2023-0118
    13391 1255 pp. 633-662
  • Semi-Discrete Predictor-Multicorrector FEM Algorithms for the 2D/3D Unsteady Incompressible Micropolar Fluid Equations

    Xiaowei Bi, Demin Liu
    2024-11-01
    DOI:10.4208/aamm.OA-2022-0256
    15449 1424 pp. 1519-1548
  • A Global Interpolating EFG Method for the Axially Moving Hub-Beam System

    Dan Xie, Shouyong Xie
    2019-06-24
    DOI:10.4208/aamm.OA-2018-0170
    45224 3247 pp. 1136-1158
  • A Second Order Accurate in Time, Energy Stable Finite Element Scheme for the Flory-Huggins-Cahn-Hilliard Equation

    Maoqin Yuan, Wenbin Chen, Cheng Wang, Steven M. Wise, Zhengru Zhang
    2022-08-08
    DOI:10.4208/aamm.OA-2021-0331
    270396 3806 pp. 1477-1508
  • A New Error Analysis of Nonconforming $EQ^{rot}_1$ FEM for Nonlinear BBM Equation

    Yanhua Shi, Yanmin Zhao, Fenling Wang, Dongyang Shi
    2018-09-17
    DOI:10.4208/aamm.OA-2017-0264
    44887 3251 pp. 1227-1246
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