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  • Domain Decomposition Methods for Diffusion Problems with Discontinuous Coefficients Revisited

    Xuyang Na, Xuejun Xu
    2024-01-31
    28671 2661 Pages:212-238
  • Multilevel Constrained Pressure-Temperature Residual Preconditioners for Large-Scale Non-Isothermal Reservoir Simulation via Restricted Additive Schwarz Algorithms

    Mei Zhang, Haijian Yang, Chao Yang, Shuyu Sun
    2023-10-07
    34349 2811 Pages:837-868
  • General Synthetic Iterative Scheme for Unsteady Rarefied Gas Flows

    Jianan Zeng, Wei Su, Lei Wu
    2023-08-14
    33825 3416 Pages:173-207
  • Adaptive Ensemble Kalman Inversion with Statistical Linearization

    Yanyan Wang, Qian Li, Liang Yan
    2023-06-06
    41353 3058 Pages:1357-1380
  • The Bulk-Surface Virtual Element Method for Reaction-Diffusion PDEs: Analysis and Applications

    Massimo Frittelli, Anotida Madzvamuse, Ivonne Sgura
    2023-04-28
    32767 3243 Pages:733-763 Open-access
  • 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
    46531 3334 Pages: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
    47569 3503 Pages: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
    45662 3281 Pages: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
    52143 3161 Pages:1272-1295
  • Numerical Integrators for Dispersion-Managed KdV Equation

    Ying He, Xiaofei Zhao
    2022-03-30
    51264 3198 Pages: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
    49514 4297 Pages: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
    49387 3296 Pages: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
    48346 3362 Pages: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
    45859 3425 Pages:1125-1151
  • Full Discretization Scheme for the Dynamics of Elliptic Membrane Shell Model

    Xiaoqin Shen, Qian Yang, Lin Bai, Kaitai Li
    2020-11-26
    47696 4401 Pages:186-210
  • Finite Neuron Method and Convergence Analysis

    Jinchao Xu
    2020-11-18
    70550 3837 Pages:1707-1745
  • On Stabilizing and Accelerating SCF Using ITP in Solving Kohn–Sham Equation

    Yang Kuang, Guanghui Hu
    2020-07-21
    48874 3260 Pages: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
    49410 3265 Pages: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
    49202 3346 Pages: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
    48850 3284 Pages:661-678
  • Subspace Methods in Multi-Parameter Seismic Full Waveform Inversion

    Yu Geng, Kristopher A. Innanen, Wenyong Pan
    2020-06-05
    51885 4670 Pages: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
    51385 3418 Pages:1174-1200
  • Collocation Methods for Cauchy Problems of Elliptic Operators via Conditional Stabilities

    Siqing Li, Leevan Ling
    2019-04-28
    45969 3111 Pages:785-808
  • The Generalized Arrow-Hurwicz Method with Applications to Fluid Computation

    Binbin Du, Jianguo Huang
    2018-11-09
    47243 3536 Pages: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
    46031 3327 Pages:510-530
  • An Energy Conserving Local Discontinuous Galerkin Method for a Nonlinear Variational Wave Equation

    Nianyu Yi, Hailiang Liu
    2018-08-21
    46600 3266 Pages: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
    51765 3363 Pages:572-602
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