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  • Convergence of Weak Galerkin Finite Element Method for Second Order Linear Wave Equation in Heterogeneous Media

    Bhupen Deka, Papri Roy, Naresh Kumar, Raman Kumar
    2023-04-10
    DOI:10.4208/nmtma.OA-2021-0080
    38300 2867 pp. 323-347
  • An Interface-Unfitted Finite Element Method for Elliptic Interface Optimal Control Problems

    Chaochao Yang, Tao Wang, Xiaoping Xie
    2019-04-22
    DOI:10.4208/nmtma.OA-2018-0031
    44441 2758 pp. 727-749
  • The Stabilized Finite Element Method for the Cahn-Hilliard Phase-Field Model of Diblock Copolymers on Evolving Surfaces

    Lulu Liu, Xufeng Xiao, Xinlong Feng
    2025-04-06
    DOI:10.4208/nmtma.2024-0033
    7006 820 pp. 103-126
  • Three-Dimensional Finite Element Superconvergent Gradient Recovery on Par6 Patterns

    Jie Chen, Desheng Wang
    2010-03-01
    DOI:10.4208/nmtma.2010.32s.4
    40690 3782 pp. 178-194
  • An Approximation of Three-Dimensional Semiconductor Devices by Mixed Finite Element Method and Characteristics-Mixed Finite Element Method

    Qing Yang, Yirang Yuan
    2015-08-01
    DOI:10.4208/nmtma.2015.my12031
    39041 2742 pp. 356-382
  • Superconvergent Cluster Recovery Method for the Crouzeix-Raviart Element

    Yidan Zhang, Yaoyao Chen, Yunqing Huang, Nianyu Yi
    2021-01-26
    DOI:10.4208/nmtma.OA-2020-0117
    45418 2655 pp. 508-526
  • Error Analysis of SAV Finite Element Method to Phase Field Crystal Model

    Liupeng Wang, Yunqing Huang, Kai Jiang
    2020-03-09
    DOI:10.4208/nmtma.OA-2019-0110
    45919 2924 pp. 372-399
  • An Adaptive Complex Collocation Method for Solving Linear Elliptic PDEs in Regular Convex Polygons Based on the Unified Transform

    E-N G. Grylonakis, C. K. Filelis-Papadopoulos, G. A. Gravvanis, A. S. Fokas
    2018-12-17
    DOI:10.4208/nmtma.OA-2018-0017
    43254 2973 pp. 348-369
  • A Priori Error Estimate of Splitting Positive Definite Mixed Finite Element Method for Parabolic Optimal Control Problems

    Hongfei Fu, Hongxing Rui, Jiansong Zhang, Hui Guo
    2016-09-01
    DOI:10.4208/nmtma.2016.m1409
    39419 2753 pp. 215-238
  • A Posteriori Error Analysis of a $P_2$-CDG Space-Time Finite Element Method for the Wave Equation

    Yuling Guo, Jianguo Huang
    2022-07-19
    DOI:10.4208/nmtma.OA-2022-0012
    39080 3030 pp. 662-678
  • A Well-Conditioned, Nonconforming Nitsche's Extended Finite Element Method for Elliptic Interface Problems

    Xiaoxiao He, Fei Song, Weibing Deng
    2020-03-06
    DOI:10.4208/nmtma.OA-2019-0053
    44630 4291 pp. 99-130
  • A Weak Galerkin Finite Element Method for the Elliptic Variational Inequality

    Hui Peng, Xiuli Wang, Qilong Zhai, Ran Zhang
    2019-04-22
    DOI:10.4208/nmtma.OA-2018-0124
    43994 2785 pp. 923-941
  • Nonnegativity-Preserving Repair Techniques for the Finite Element Solutions of Degenerate Nonlinear Parabolic Problems

    Junliang Lv, Guangwei Yuan, Jingyan Yue
    2018-09-17
    DOI:10.4208/nmtma.2017-OA-0125
    41830 2905 pp. 413-436
  • Recovery Type a Posteriori Error Estimates of Fully Discrete Finite Element Methods for General Convex Parabolic Optimal Control Problems

    Yuelong Tang, Yanping Chen
    2012-05-01
    DOI:10.4208/nmtma.2012.m1117
    42246 3826 pp. 573-591
  • A Posteriori Error Estimates of Mixed Methods for Quadratic Optimal Control Problems Governed by Parabolic Equations

    Tianliang Hou, Yanping Chen, Yunqing Huang
    2011-04-01
    DOI:10.4208/nmtma.2011.m1017
    42031 3681 pp. 439-458
  • Finite Element Error Estimation for Parabolic Optimal Control Problems with Pointwise Observations

    Dongdong Liang, Wei Gong, Xiaoping Xie
    2022-02-09
    DOI:10.4208/nmtma.OA-2021-0123
    46330 4064 pp. 165-199
  • A Priori and a Posteriori Error Estimates of Streamline Diffusion Finite Element Method for Optimal Control Problem Governed by Convection Dominated Diffusion Equation

    Ningning Yan, Zhaojie Zhou
    2008-01-01
    39380 3653 pp. 297-320
  • An Implicit Solver for the Time-Dependent Kohn-Sham Equation

    Lei Yang, Yedan Shen, Zhicheng Hu, Guanghui Hu
    2020-10-09
    DOI:10.4208/nmtma.OA-2020-0040
    47847 3920 pp. 261-284 Open Access
  • Anisotropic Mesh Adaptation for 3D Anisotropic Diffusion Problems with Application to Fractured Reservoir Simulation

    Xianping Li, Weizhang Huang
    2017-11-02
    DOI:10.4208/nmtma.2017.m1625
    39250 2707 pp. 913-940
  • A Numerical Approximation Structured by Mixed Finite Element and Upwind Fractional Step Difference for Semiconductor Device with Heat Conduction and Its Numerical Analysis

    Yirang Yuan, Qing Yang, Changfeng Li, Tongjun Sun
    2017-10-01
    DOI:10.4208/nmtma.2017.y15013
    39285 2711 pp. 541-561
  • A Two-Grid Finite Element Method for Time-Dependent Incompressible Navier-Stokes Equations with Non-Smooth Initial Data

    Deepjyoti Goswami, Pedro D. Damazio
    2015-08-01
    DOI:10.4208/nmtma.2015.m1414
    39281 2764 pp. 549-581
  • Numerical Analysis of a Dynamic Contact Problem with History-Dependent Operators

    Hailing Xuan, Xiaoliang Cheng, Weimin Han, Qichang Xiao
    2020-03-16
    DOI:10.4208/nmtma.OA-2019-0130
    57982 3194 pp. 569-594
  • Mesh Quality and More Detailed Error Estimates of Finite Element Method

    Yunqing Huang, Liupeng Wang, Nianyu Yi
    2020-11-03
    DOI:10.4208/nmtma.2017.s10
    39408 2622 pp. 420-436
  • Quasi-Optimal Convergence Rate of an AFEM for Quasi-Linear Problems of Monotone Type

    Eduardo M. Garau, Pedro Morin, Carlos Zuppa
    2018-08-14
    DOI:10.4208/nmtma.2012.m1023
    40658 3710 pp. 131-156
  • Auxiliary Equations Approach for the Stochastic Unsteady Navier-Stokes Equations with Additive Random Noise

    Wenju Zhao, Max Gunzburger
    2020-03-06
    DOI:10.4208/nmtma.OA-2019-0055
    44995 4479 pp. 1-26
  • A Modified Version of the PRESB Preconditioner for a Class of Non-Hermitian Complex Systems of Linear Equations

    Owe Axelsson, Davod Khojasteh Salkuyeh
    2025-09-01
    DOI:10.4208/nmtma.OA-2024-0116
    5137 413 pp. 756-770
  • Robust Multiscale Iterative Solvers for Nonlinear Flows in Highly Heterogeneous Media

    Y. Efendiev, J. Galvis, S. Ki Kang, R. D. Lazarov
    2012-05-01
    DOI:10.4208/nmtma.2012.m1112
    41791 3584 pp. 359-383
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