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  • An Efficient Spectral Method for the Inextensible Immersed Interface in Incompressible Flows

    Xiaoling Liu, Fangying Song, Chuanju Xu
    2018-12-08
    DOI:10.4208/cicp.OA-2017-0210
    49222 3554 pp. 1071-1096
  • Existence and Uniqueness of the Weak Solution of the Space-Time Fractional Diffusion Equation and a Spectral Method Approximation

    Xianjuan Li, Chuanju Xu
    2010-08-01
    DOI:10.4208/cicp.020709.221209a
    46457 4876 pp. 1016-1051
  • A Posteriori Error Estimate of Weak Galerkin FEM for Stokes Problem Using Auxiliary Subspace Techniques

    Jiachuan Zhang, Ran Zhang, Xiaoshen Wang
    2023-03-13
    DOI:10.4208/cicp.OA-2022-0207
    38944 3238 pp. 511-537
  • Weak Minimization-Sampling Network for Solving PDEs

    Zhenqian E, Weiguo Gao
    2026-01-03
    DOI:10.4208/cicp.OA-2024-0153
    1940 120 pp. 696-712
  • Long Time Error Analysis of Finite Difference Time Domain Methods for the Nonlinear Klein-Gordon Equation with Weak Nonlinearity

    Weizhu Bao, Yue Feng, Wenfan Yi
    2019-08-27
    DOI:10.4208/cicp.2019.js60.03
    48248 3530 pp. 1307-1334
  • Finite Element Analysis for Nonstationary Magneto-Heat Coupling Problem

    Xue Jiang, Donghang Zhang, Linbo Zhang, Weiying Zheng
    2019-08-27
    DOI:10.4208/cicp.2019.js60.08
    48067 3500 pp. 1471-1489
  • A Parallel Domain Decomposition Method for the Fully-Mixed Stokes-Dual-Permeability Fluid Flow Model with Beavers-Joseph Interface Conditions

    Zheng Li, Feng Shi, Yizhong Sun, Yuhong Zhang, Haibiao Zheng
    2024-09-06
    DOI:10.4208/cicp.OA-2023-0258
    19543 1582 pp. 551-580
  • A Weak Galerkin Finite Element Method Coupled with Mortar Spectral Element Method for Schrödinger Eigenvalue Problem with an Inverse Square Potential

    Shusheng Li, Lueling Jia, Qilong Zhai, Zhimin Zhang
    2026-04-10
    DOI:10.4208/cicp.OA-2024-0232
    185 56 pp. 263-296
  • Weak Galerkin and Continuous Galerkin Coupled Finite Element Methods for the Stokes-Darcy Interface Problem

    Hui Peng, Qilong Zhai, Ran Zhang, Shangyou Zhang
    2020-07-21
    DOI:10.4208/cicp.OA-2019-0122
    47712 3272 pp. 1147-1175
  • Discrete Maximum Principle for the Weak Galerkin Method for Anisotropic Diffusion Problems

    Weizhang Huang, Yanqiu Wang
    2018-04-03
    DOI:10.4208/cicp.180914.121214a
    42507 4476 pp. 65-90
  • Fluid Structure Interaction Problems: The Necessity of a Well Posed, Stable and Accurate Formulation

    Jan Nordstrom, Sofia Eriksson
    2010-08-01
    DOI:10.4208/cicp.260409.120210a
    41088 4101 pp. 1111-1138
  • Towards a Theoretical Background for Strong-Scattering Inversion – Direct Envelope Inversion and Gel'fand-Levitan-Marchenko Theory

    Ru-Shan Wu
    2020-06-05
    DOI:10.4208/cicp.OA-2018-0108
    52199 5163 pp. 41-73
  • The Weak Galerkin Method for Elliptic Eigenvalue Problems

    Qilong Zhai, Hehu Xie, Ran Zhang, Zhimin Zhang
    2019-02-25
    DOI:10.4208/cicp.OA-2018-0201
    48399 5531 pp. 160-191
  • Excitonic Eigenstates of Disordered Semiconductor Quantum Wires: Adaptive Wavelet Computation of Eigenvalues for the Electron-Hole Schrödinger Equation

    Christian Mollet, Angela Kunoth, Torsten Meier
    2014-07-05
    DOI:10.4208/cicp.081011.260712a
    39227 4587 pp. 21-47
  • Mixed Spectral Element Method for 2D Maxwell's Eigenvalue Problem

    Na Liu, Luis Tobón, Yifa Tang, Qing Huo Liu
    2020-07-30
    DOI:10.4208/cicp.230113.140814a
    41834 3166 pp. 458-486
  • $H^2$-Conforming Methods and Two-Grid Discretizations for the Elastic Transmission Eigenvalue Problem

    Yidu Yang, Jiayu Han, Hai Bi
    2020-08-27
    DOI:10.4208/cicp.OA-2019-0171
    49604 3239 pp. 1366-1388
  • A Numerical Study on the Weak Galerkin Method for the Helmholtz Equation

    Lin Mu, Junping Wang, Xiu Ye, Shan Zhao
    2014-05-05
    DOI:10.4208/cicp.251112.211013a
    42575 4109 pp. 1461-1479
  • A Numerical Analysis of the Weak Galerkin Method for the Helmholtz Equation with High Wave Number

    Yu Du, Zhimin Zhang
    2019-10-31
    DOI:10.4208/cicp.OA-2016-0121
    42000 4919 pp. 133-156
  • Inexact Block LU Preconditioners for Incompressible Fluids with Flow Rate Conditions

    Luca Crugnola, Christian Vergara
    2026-02-15
    DOI:10.4208/cicp.OA-2025-0021
    4130 229 pp. 323-355
  • Role of Fluxes in High-Order Godunov Schemes

    Matania Ben-Artzi
    2026-05-01
    DOI:10.4208/cicp.OA-2024-0238
    230 44 pp. 1405-1420
  • The Ultra Weak Variational Formulation Using Bessel Basis Functions

    Teemu Luostari, Tomi Huttunen, Peter Monk
    2020-07-31
    DOI:10.4208/cicp.121209.040111s
    40618 3878 pp. 400-414
  • Deformation of a Sheared Magnetic Droplet in a Viscous Fluid

    Wellington C. Jesus, Alexandre M. Roma, Hector D. Ceniceros
    2018-09-17
    DOI:10.4208/cicp.OA-2017-0161
    46575 3325 pp. 332-355
  • Interface Controlled Multiple Elimination by Sparsity Inversion

    Lanshu Bai, Yike Liu, Huiyi Lu
    2020-06-05
    DOI:10.4208/cicp.OA-2018-0077
    50230 5063 pp. 459-476
  • On the Magneto-Heat Coupling Model for Large Power Transformers

    Xujing Li, Shipeng Mao, Kangkang Yang, Weiying Zheng
    2017-09-02
    DOI:10.4208/cicp.OA-2016-0194
    41688 3323 pp. 683-711
  • Analysis of a Two-Level Algorithm for HDG Methods for Diffusion Problems

    Binjie Li, Xiaoping Xie, Shiquan Zhang
    2020-07-31
    DOI:10.4208/cicp.scpde14.38s
    40286 3345 pp. 1435-1460
  • A Class of Hybrid DG/FV Methods for Conservation Laws III: Two-Dimensional Euler Equations

    Laiping Zhang, Wei Liu, Lixin He, Xiaogang Deng
    2012-12-01
    DOI:10.4208/cicp.210111.140711a
    40836 4646 pp. 284-314
  • Comparison of Fifth-Order WENO Scheme and Finite Volume WENO-Gas-Kinetic Scheme for Inviscid and Viscous Flow Simulation

    Jun Luo, Lijun Xuan, Kun Xu
    2013-09-05
    DOI:10.4208/cicp.110212.021112a
    40711 4646 pp. 599-620
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