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  • 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
  • FEA Versus IGA in a Two-Node Beam Element Based on Unified and Integrated Method

    Andi Makarim Katili, Irwan Katili
    2021-07-01
    DOI:10.4208/aamm.OA-2018-0255
    47187 4367 pp. 1565-1586
  • Error Estimates of Mixed Methods for Optimal Control Problems Governed by General Elliptic Equations

    Tianliang Hou, Li Li
    2021-07-01
    DOI:10.4208/aamm.2014.m807
    43489 3914 pp. 1050-1071
  • Two-Grid Discretization Scheme for Nonlinear Reaction Diffusion Equation by Mixed Finite Element Methods

    Luoping Chen, Yanping Chen
    2014-06-01
    DOI:10.4208/aamm.12-m12130
    43882 4752 pp. 203-219
  • An Algebraic Multigrid Method for Nearly Incompressible Elasticity Problems in Two-Dimensions

    Yingxiong Xiao, Shi Shu, Hongmei Zhang, Yuan Ouyang
    2018-08-10
    43758 5052 pp. 69-88
  • A-Posteriori Error Estimates for Uniform $p$-Version Finite Element Methods in Square

    Jianwei Zhou, Danping Yang, Yujie Liu
    2018-05-05
    DOI:10.4208/aamm.2013.m68
    42065 3105 pp. 272-281
  • The Random Feature Method for Elliptic Eigenvalue Problems

    Kexiang Xiong, Zhen Zhang, Jingrun Chen, Yixin Luo
    2025-05-12
    DOI:10.4208/aamm.OA-2023-0312
    8799 601 pp. 1133-1170
  • The Locally Conservative Galerkin (LCG) Method — a Discontinuous Methodology Applied to a Continuous Framework

    Rhodri L. T. Bevan, Raoul vanLoon, Perumal Nithiarasu
    2018-08-10
    41014 3886 pp. 319-340
  • The Nonconforming Finite Element Methods for Two Transmission Eigenvalue Problems in Inverse Scattering

    Lingling Sun, Hai Bi, Yidu Yang
    2025-10-14
    DOI:10.4208/aamm.OA-2023-0136
    5412 438 pp. 37-66
  • High-Order Mesh Generation for Discontinuous Galerkin Methods Based on Elastic Deformation

    Hongqiang Lu, Kai Cao, Lechao Bian, Yizhao Wu
    2018-05-05
    DOI:10.4208/aamm.2014.m618
    41900 2983 pp. 693-702
  • Nonconforming FEMs for the $p$-Laplace Problem

    D. J. Liu, A. Q. Li, Z. R. Chen
    2021-07-01
    DOI:10.4208/aamm.OA-2018-0117
    46124 4301 pp. 1365-1383
  • A Mortar Method Using Nonconforming and Mixed Finite Elements for the Coupled Stokes-Darcy Model

    Peiqi Huang, Jinru Chen, Mingchao Cai
    2018-08-04
    DOI:10.4208/aamm.2016.m1397
    41964 3120 pp. 596-620
  • Immersed Finite Element Method for Eigenvalue Problems in Elasticity

    Seungwoo Lee, Do Young Kwak, Imbo Sim
    2018-09-17
    DOI:10.4208/aamm.OA-2016-0189
    44952 3170 pp. 424-444
  • Error Estimates for Finite Element Approximation to Elliptic Optimal Control Problems with Boundary Observations in $H^{-\frac{1}{2}}(\Gamma)$

    Xuelin Tao
    2024-07-22
    DOI:10.4208/aamm.OA-2022-0172
    26065 2384 pp. 1152-1175
  • 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
  • Some Weighted Averaging Methods for Gradient Recovery

    Yunqing Huang, Kai Jiang, Nianyu Yi
    2018-08-10
    DOI:10.4208/aamm.10-m1188
    42518 4538 pp. 131-155
  • Stability of Two Conservative, High-Order Fluid-Fluid Coupling Methods

    Jeffrey M. Connors, Robert D. Dolan
    2021-07-01
    DOI:10.4208/aamm.OA-2018-0212
    64350 4653 pp. 1287-1338
  • Error Analysis of Fully Discrete Data Assimilation Algorithms for Reaction-Diffusion Equation

    Wansheng Wang, Chengyu Jin, Yi Huang
    2025-03-14
    DOI:10.4208/aamm.OA-2023-0150
    11429 879 pp. 840-866
  • High-Order Finite Volume Methods for Aerosol Dynamic Equations

    Ming Cui, Yanxin Su, Dong Liang
    2018-05-05
    DOI:10.4208/aamm.2013.m362
    41267 3097 pp. 213-235
  • Contaminant Flow and Transport Simulation in Cracked Porous Media Using Locally Conservative Schemes

    Pu Song, Shuyu Sun
    2012-04-01
    DOI:10.4208/aamm.10-m1108
    42404 4769 pp. 389-421
  • 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
  • Optimal Error Analysis of Euler and BDF2 Semi-Renormalized FEMs for the Landau-Lifshitz-Slonczewski Equation

    Yundan Zhao, Rong An
    2025-05-12
    DOI:10.4208/aamm.OA-2023-0119
    8967 575 pp. 1063-1087
  • Unconditional Superconvergence Analysis of Energy Conserving Finite Element Methods for the Nonlinear Coupled Klein-Gordon Equations

    Ming Cui, Yanfei Li, Changhui Yao
    2023-02-24
    DOI:10.4208/aamm.OA-2021-0261
    40024 3541 pp. 602-622
  • Superconvergence of Mixed Methods for Optimal Control Problems Governed by Parabolic Equations

    Xiaoqing Xing, Yanping Chen
    2011-03-01
    DOI:10.4208/aamm.10-m1006
    41383 4076 pp. 401-419
  • An Iterative Two-Grid Method of a Finite Element PML Approximation for the Two Dimensional Maxwell Problem

    Chunmei Liu, Shi Shu, Yunqing Huang, Liuqiang Zhong, Junxian Wang
    2018-08-10
    DOI:10.4208/aamm.10-m11166
    42501 4230 pp. 175-189
  • A Well-Balanced Runge-Kutta Discontinuous Galerkin Method for Multilayer Shallow Water Equations with Non-Flat Bottom Topography

    Nouh Izem, Mohammed Seaid
    2022-02-25
    DOI:10.4208/aamm.OA-2020-0364
    47635 3331 pp. 725-758
  • 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
    DOI:10.4208/aamm.OA-2020-0339
    44402 3642 pp. 842-870
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