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  • A Weak Galerkin Mixed Finite Element Method for Second Order Elliptic Equations on 2D Curved Domains

    Yi Liu, Wenbin Chen, Yanqiu Wang
    2022-10-28
    DOI:10.4208/cicp.OA-2022-0106
    46564 3360 pp. 1094-1128
  • A New Artificial Neural Network Method for Solving Schrödinger Equations on Unbounded Domains

    Joshua P. Wilson, Weizhong Dai, Aniruddha Bora, Jacob C. Boyt
    2022-10-28
    DOI:10.4208/cicp.OA-2022-0135
    47608 3514 pp. 1039-1060
  • A Continuous Finite Element Method with Homotopy Vanishing Viscosity for Solving the Static Eikonal Equation

    Yong Yang, Wenrui Hao, Yong-Tao Zhang
    2022-05-06
    DOI:10.4208/cicp.OA-2021-0164
    45681 3293 pp. 1402-1433
  • A Rate of Convergence of Physics Informed Neural Networks for the Linear Second Order Elliptic PDEs

    Yuling Jiao, Yanming Lai, Dingwei Li, Xiliang Lu, Fengru Wang, Yang Wang, Jerry Zhijian Yang
    2022-03-30
    DOI:10.4208/cicp.OA-2021-0186
    52182 3175 pp. 1272-1295
  • Numerical Integrators for Dispersion-Managed KdV Equation

    Ying He, Xiaofei Zhao
    2022-03-30
    DOI:10.4208/cicp.OA-2021-0216
    51284 3214 pp. 1180-1214
  • A Modified Crank-Nicolson Numerical Scheme for the Flory-Huggins Cahn-Hilliard Model

    Wenbin Chen, Jianyu Jing, Cheng Wang, Xiaoming Wang, Steven M. Wise
    2021-12-06
    DOI:10.4208/cicp.OA-2021-0074
    49556 4334 pp. 60-93 Open Access
  • Enforcing Imprecise Constraints on Generative Adversarial Networks for Emulating Physical Systems

    Yang Zeng, Jin-Long Wu, Heng Xiao
    2021-07-01
    DOI:10.4208/cicp.OA-2020-0106
    49410 3307 pp. 635-665
  • A Mortar Spectral Element Method for Full-Potential Electronic Structure Calculations

    Yichen Guo, Lueling Jia, Huajie Chen, Huiyuan Li, Zhimin Zhang
    2021-03-24
    DOI:10.4208/cicp.OA-2020-0020
    48367 3370 pp. 1541-1569
  • A Mixed Finite Element Scheme for Quad-Curl Source and Eigenvalue Problems

    Huangxin Chen, Jingzhi Li, Weifeng Qiu, Chao Wang
    2021-02-25
    DOI:10.4208/cicp.OA-2020-0108
    45885 3431 pp. 1125-1151
  • Full Discretization Scheme for the Dynamics of Elliptic Membrane Shell Model

    Xiaoqin Shen, Qian Yang, Lin Bai, Kaitai Li
    2020-11-26
    DOI:10.4208/cicp.OA-2019-0215
    47720 4420 pp. 186-210
  • Finite Neuron Method and Convergence Analysis

    Jinchao Xu
    2020-11-18
    DOI:10.4208/cicp.OA-2020-0191
    70604 3843 pp. 1707-1745
  • On Stabilizing and Accelerating SCF Using ITP in Solving Kohn–Sham Equation

    Yang Kuang, Guanghui Hu
    2020-07-21
    DOI:10.4208/cicp.OA-2019-0024
    48916 3275 pp. 999-1018
  • A Positivity-Preserving Second-Order BDF Scheme for the Cahn-Hilliard Equation with Variable Interfacial Parameters

    Lixiu Dong, Cheng Wang, Hui Zhang, Zhengru Zhang
    2020-07-21
    DOI:10.4208/cicp.OA-2019-0037
    49446 3276 pp. 967-998
  • A Hodge Decomposition Method for Dynamic Ginzburg–Landau Equations in Nonsmooth Domains — A Second Approach

    Buyang Li, Kai Wang, Zhimin Zhang
    2020-06-05
    DOI:10.4208/cicp.OA-2019-0117
    49230 3356 pp. 768-802
  • An Efficient Method for Estimating the Electromagnetic Wave Propagation in Three Dimensional Optical Waveguide Structures

    Yu Mao Wu, Xin Lou, Ya-Qiu Jin, Zhaoguo Hou, Lizhi Xiao, Ning Zou, Hai Jing Zhou, Yang Liu
    2020-06-05
    DOI:10.4208/cicp.OA-2018-0088
    48867 3294 pp. 661-678
  • Subspace Methods in Multi-Parameter Seismic Full Waveform Inversion

    Yu Geng, Kristopher A. Innanen, Wenyong Pan
    2020-06-05
    DOI:10.4208/cicp.OA-2018-0087
    51907 4697 pp. 228-248
  • An Interface-Unfitted Conforming Enriched Finite Element Method for Stokes-Elliptic Interface Problems with Jump Coefficients

    Hua Wang, Jinru Chen, Pengtao Sun, Rihui Lan
    2020-02-23
    DOI:10.4208/cicp.OA-2019-0021
    51412 3427 pp. 1174-1200
  • Collocation Methods for Cauchy Problems of Elliptic Operators via Conditional Stabilities

    Siqing Li, Leevan Ling
    2019-04-28
    DOI:10.4208/cicp.OA-2018-0182
    45995 3119 pp. 785-808
  • The Generalized Arrow-Hurwicz Method with Applications to Fluid Computation

    Binbin Du, Jianguo Huang
    2018-11-09
    DOI:10.4208/cicp.OA-2017-0235
    47269 3547 pp. 752-780
  • Optimal Convergence Analysis of a Mixed Finite Element Method for Fourth-Order Elliptic Problems

    Yue Yan, Weijia Li, Wenbin Chen, Yanqiu Wang
    2018-09-17
    DOI:10.4208/cicp.OA-2017-0168
    46065 3336 pp. 510-530
  • An Energy Conserving Local Discontinuous Galerkin Method for a Nonlinear Variational Wave Equation

    Nianyu Yi, Hailiang Liu
    2018-08-21
    DOI:10.4208/cicp.OA-2016-0189
    46617 3282 pp. 747-772
  • A Second-Order Energy Stable BDF Numerical Scheme for the Cahn-Hilliard Equation

    Yue Yan, Wenbin Chen, Cheng Wang, Steven M. Wise
    2018-08-21
    DOI:10.4208/cicp.OA-2016-0197
    51837 3369 pp. 572-602
  • A Fully Implicit Finite Volume Lattice Boltzmann Method for Turbulent Flows

    Fatih Cevik, Kahraman Albayrak
    2018-04-09
    DOI:10.4208/cicp.OA-2016-0014
    42319 3412 pp. 393-421
  • Numerical Study of Partially Conservative Moment Equations in Kinetic Theory

    Julian Koellermeier, Manuel Torrilhon
    2018-04-09
    DOI:10.4208/cicp.OA-2016-0053
    43129 3210 pp. 981-1011
  • Solving Vlasov-Poisson-Fokker-Planck Equations Using $NRxx$ method

    Yanli Wang, Shudao Zhang
    2018-04-09
    DOI:10.4208/cicp.220415.080816a
    41261 3209 pp. 782-807
  • On the Stability and CPU Time of the Implicit Runge-Kutta Schemes for Steady State Simulations

    Yongle Du, John A. Ekaterinaris
    2018-04-04
    DOI:10.4208/cicp.OA-2016-0032
    39788 3165 pp. 486-511
  • Single Component Multiphase Lattice Boltzmann Method for Taylor/Bretherton Bubble Train Flow Simulations

    Michal Dzikowski, Lukasz Laniewski-Wollk, Jacek Rokicki
    2018-04-04
    DOI:10.4208/cicp.220115.110915a
    40817 3186 pp. 1042-1066
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