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  • 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
  • Analysis of Two-Grid Methods for Nonlinear Parabolic Equations by Expanded Mixed Finite Element Methods

    Yanping Chen, Peng Luan, Zuliang Lu
    2021-07-01
    DOI:10.4208/aamm.09-m09S09
    41818 4294 pp. 830-844
  • 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
  • An Efficient Numerical Method for the Valuation of American Better-of Options Based on the Front-Fixing Transform and the Far Field Truncation

    Xiaowei Pang, Haiming Song, Xiaoshen Wang, Kai Zhang
    2020-06-01
    DOI:10.4208/aamm.OA-2019-0107
    50912 3471 pp. 902-919
  • A FEM for Solving Two-Dimensional Nonlinear Elliptic-Parabolic Interface Problems with Nonhomogeneous Jump Conditions

    Liqun Wang, Songming Hou, Liwei Shi
    2018-09-17
    DOI:10.4208/aamm.OA-2017-0097
    43836 3047 pp. 752-766
  • A New $L^2$ Projection Method for the Oseen Equations

    Yanhong Bai, Minfu Feng
    2021-07-01
    DOI:10.4208/aamm.2016.m1420
    43047 3884 pp. 1420-1437
  • 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
    DOI:10.4208/aamm.OA-2020-0218
    49745 4057 pp. 1418-1440
  • The Adaptive Immersed Finite Element Method for the Variational Discretization of the Elliptic Optimal Control Problem with Interface

    Yanzhen Chang, Mengxue Fan, Liang Ge
    2026-04-01
    DOI:10.4208/amm.OA-2024-0084
    5027 208 pp. 700-723
  • Optimal Error Estimate of the Penalty FEM for the Stationary Conduction-Convection Problems

    Yanfang Lei, Hongtao Wang, Zhiyong Si
    2018-09-17
    DOI:10.4208/aamm.OA-2017-0103
    43239 2970 pp. 767-784
  • A Bilinear Petrov-Galerkin Finite Element Method for Solving Elliptic Equation with Discontinuous Coefficients

    Liqun Wang, Songming Hou, Liwei Shi, Ping Zhang
    2019-01-04
    DOI:10.4208/aamm.OA-2018-0099
    48011 4851 pp. 216-240
  • Finite Volume Element Method for a Nonlinear Parabolic Equation

    Yanwei Du, Yonghai Li
    2025-03-14
    DOI:10.4208/aamm.OA-2022-0258
    11454 858 pp. 681-705
  • 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
  • A Weak Galerkin Finite Element Method for a $H({\rm curl})$-Elliptic Problem

    Jie Peng, Yingying Xie, Yage Xu, Liuqiang Zhong
    2025-07-19
    DOI:10.4208/aamm.OA-2023-0101
    8090 537 pp. 1411-1429
  • Uniform Convergence Analysis of a Higher Order Hybrid Stress Quadrilateral Finite Element Method for Linear Elasticity Problems

    Yanhong Bai, Yongke Wu, Xiaoping Xie
    2018-05-05
    DOI:10.4208/aamm.2014.m548
    40966 3150 pp. 399-425
  • Nonconforming Finite Element Method for the Transmission Eigenvalue Problem

    Xia Ji, Yingxia Xi, Hehu Xie
    2018-05-05
    DOI:10.4208/aamm.2015.m1295
    43335 4597 pp. 92-103
  • 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 Finite Volume Method Based on the Constrained Nonconforming Rotated Q1-Constant Element for the Stokes Problem

    Jing Qi, Wanfu Tian, Yonghai Li
    2012-04-01
    DOI:10.4208/aamm.11-m1156
    43068 4753 pp. 46-71
  • 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
  • Two-Grid Finite Volume Element Method Combined with Crank-Nicolson Scheme for Semilinear Parabolic Equations

    Yuzhi Lou, Chuanjun Chen, Guanyu Xue
    2021-04-13
    DOI:10.4208/aamm.OA-2020-0064
    44620 3269 pp. 892-913
  • A Posteriori Error Estimates of a Combined Mixed Finite Element and Discontinuous Galerkin Method for a Kind of Compressible Miscible Displacement Problems

    Jiming Yang, Zhiguang Xiong
    2013-05-01
    DOI:10.4208/aamm.11-m1140
    42034 4484 pp. 163-179
  • 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
  • A Combined Discontinuous Galerkin Method for Saltwater Intrusion Problem with Splitting Mixed Procedure

    Jiansong Zhang, Jiang Zhu, Danping Yang
    2018-08-04
    DOI:10.4208/aamm.2015.m1026
    42349 3093 pp. 651-666
  • The Boundary Mapped Collocation Method for Heat Conduction Problems with Heat Generation Spatially Varying Conductivity

    Zhentian Huang, Dong Lei, Zi Han, Heping Xie, Jianbo Zhu
    2024-12-02
    DOI:10.4208/aamm.OA-2022-0250
    14334 1207 pp. 240-262
  • A Ciarlet-Raviart Mixed Finite Element Method for Optimal Control Problems Governed by a Fourth Order Bi-Wave Equation

    Hongbo Guan, Wen Liu, Yong Yang
    2026-06-01
    DOI:10.4208/aamm.OA-2023-0229
    4320 114 pp. 1037-1057
  • A Galerkin Splitting Symplectic Method for the Two Dimensional Nonlinear Schrödinger Equation

    Zhenguo Mu, Haochen Li, Yushun Wang, Wenjun Cai
    2018-09-17
    DOI:10.4208/aamm.OA-2017-0222
    45784 3206 pp. 1069-1089
  • A Weak Galerkin Method with $C^0$ Element for Fourth Order Linear Parabolic Equation

    Shimin Chai, Yongkui Zou, Wenju Zhao
    2019-01-11
    DOI:10.4208/aamm.OA-2018-0028
    44672 3117 pp. 467-485
  • Moving Mesh Finite Element Method for Unsteady Navier-Stokes Flow

    Yirong Wu, Heyu Wang
    2018-08-04
    DOI:10.4208/aamm.2016.m1457
    41642 3083 pp. 742-756
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