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  • Weak Galerkin Finite Element Method Based on POD for Nonlinear Parabolic Equations

    Jianghong Zhang, Fuzheng Gao, Jintao Cui
    2025-02-20
    DOI:10.4208/ijnam2025-1008
    8871 691 pp. 157-177
  • The Weak Galerkin Finite Element Method for the Dual-Porosity-Stokes Model

    Lin Yang, Wei Mu, Hui Peng, Xiuli Wang
    2024-06-24
    DOI:10.4208/ijnam2024-1023
    19539 1453 pp. 587-608
  • A Stabilizer-Free Weak Galerkin Finite Element Method for the Darcy-Stokes Equations

    Kai He, Junjie Chen, Li Zhang, Maohua Ran
    2024-06-24
    DOI:10.4208/ijnam2024-1018
    20333 1503 pp. 459-475
  • A Hybrid Stress Finite Element Method for Integro-Differential Equations Modelling Dynamic Fractional Order Viscoelasticity

    Menghan Liu, Xiaoping Xie
    2024-04-07
    DOI:10.4208/ijnam2024-1009
    20743 1802 pp. 221-243
  • A Penalty Finite Element Method for the Stationary Closed-Loop Geothermal Model

    Haochen Liu, Pengzhan Huang, Yinnian He
    2023-05-22
    DOI:10.4208/ijnam2023-1024
    28618 2504 pp. 557-576
  • The Discrete Raviart-Thomas Mixed Finite Element Method for the $p$-Laplace Equation

    M.M. Guo, D.J. Liu
    2023-03-30
    DOI:10.4208/ijnam2023-1012
    29425 2562 pp. 313-328
  • A Decoupled, Parallel, Iterative Finite Element Method for Solving the Steady Boussinesq Equations

    Yuanyuan Hou, Wenjing Yan, Lioba Boveleth, Xiaoming He
    2022-09-27
    38911 2866 pp. 739-760
  • Convergence Analysis of Nitsche Extended Finite Element Methods for H(Curl)-Elliptic Interface Problems

    Nan Wang, Jinru Chen
    2022-06-22
    38226 2708 pp. 487-510
  • The Arbitrary Lagrangian-Eulerian Finite Element Method for a Transient Stokes/Parabolic Interface Problem

    Ian Kesler, Rihui Lan, Pengtao Sun
    2021-03-25
    38709 2613 pp. 339-361
  • A Stabilizer Free Weak Galerkin Finite Element Method for General Second-Order Elliptic Problem

    Ahmed Al-Taweel, Saqib Hussain, Runchang Lin, Peng Zhu
    2021-03-25
    38761 2629 pp. 311-323
  • The Weak Galerkin Finite Element Method for Solving the Time-Dependent Stokes Flow

    Xiuli Wang, Yuanyuan Liu, Qilong Zhai
    2020-08-04
    35825 2685 pp. 732-745
  • Distributed Lagrange Multiplier-Fictitious Domain Finite Element Method for Stokes Interface Problems

    Andrew Lundberg, Pengtao Sun, Cheng Wang
    2019-08-09
    35804 2740 pp. 939-963
  • Improved Error Estimation for the Partially Penalized Immersed Finite Element Methods for Elliptic Interface Problems

    Ruchi Guo, Tao Lin, Qiao Zhuang
    2019-02-21
    34920 2902 pp. 575-589
  • ​An Iterative Approach for Constructing Immersed Finite Element Spaces and Applications to Interface Problems

    Cheng Wang, Pengtao Sun, Zhilin Li
    2019-02-22
    36966 2766 pp. 167-191
  • Analysis of a Fully Discrete Finite Element Method for the Maxwell–Schrödinger System in the Coulomb Gauge

    Chupeng Ma, Liqun Cao, Jizu Huang
    2018-10-19
    34741 4017 pp. 139-166
  • An Effective Minimization Protocol for Solving a Size-Modified Poisson-Boltzmann Equation for Biomolecule in Ionic Solvent

    Jiao Li, Dexuan Xie
    2015-12-01
    35087 2795 pp. 286-301
  • Finite Element Approximation of Optimal Control for System Governed by Immiscible Displacement in Porous Media

    Y. Chang, W. Cao, D. Yang, T. Sun & W. Liu
    2014-11-01
    33072 2613 pp. 688-714
  • Two-Level Penalty Finite Element Methods for Navier-Stokes Equations with Nonlinear Slip Boundary Conditions

    Rong An, Yuan Li
    2014-11-01
    33239 2639 pp. 608-623
  • Higher Degree Immersed Finite Element Methods for Second-Order Elliptic Interface Problems

    S. Adjerid, M. Ben-Romdhane & T. Lin
    2014-11-01
    33066 2650 pp. 541-566
  • The Finite Element Method of a Euler Scheme for Stochastic Navier-Stokes Equations Involving the Turbulent Component

    Yuanyuan Duan, Xiaoyuan Yang
    2013-10-01
    33306 2577 pp. 727-744
  • Anisotropic $hp$-Adaptive Discontinuous Galerkin Finite Element Methods for Compressible Fluid Flows

    S. Giani & P. Houston
    2012-09-01
    32389 2595 pp. 928-949
  • A Front-Fixing Finite Element Method for the Valuation of American Put Options on Zero-Coupon Bonds

    A. D. Holmes, H. Yang
    2012-09-01
    32860 2604 pp. 777-792
  • A Posteriori Error Estimate for Stabilized Finite Element Methods for the Stokes Equations

    Junping Wang, Yanqiu Wang, Xiu Ye
    2012-09-01
    33412 3909 pp. 1-16
  • Numerical Modeling of a Dual Variational Inequality of Unilateral Contact Problems Using the Mixed Finite Element Method

    G. Wang & X. Yang
    2009-06-01
    31375 3702 pp. 161-176
  • Adaptive Finite Element Methods for Parameter Estimation Problems in Linear Elasticity

    Tao Feng, Marten Gulliksson, Wenbin Liu
    2009-06-01
    31688 3727 pp. 17-32
  • $L^∞$-Error Estimates for General Optimal Control Problem by Mixed Finite Element Methods

    X. Xing & Y. Chen
    2008-05-01
    30833 3381 pp. 441-456
  • A Posteriori Error Estimation for a Dual Mixed Finite Element Approximation of Non-Newtonian Fluid Flow Problems

    Mohamed Farhloul, Abdel-Malek Zine
    2008-05-01
    30953 2458 pp. 320-330
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