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  • A Nonlinear Finite Volume Element Method Satisfying Maximum Principle for Anisotropic Diffusion Problems on Arbitrary Triangular Meshes

    Yanni Gao, Shuai Wang, Guangwei Yuan, Xudeng Hang
    2019-02-25
    45997 5141 Pages:135-159
  • Nonconforming Finite Element Method Applied to the Driven Cavity Problem

    Roktaek Lim, Dongwoo Sheen
    2018-04-09
    43449 3209 Pages:1012-1038
  • Development of Finite Element Field Solver in Gyrokinetic Toroidal Code

    Hongying Feng, Wenlu Zhang, Zhihong Lin, Xiaohe Zhufu, Jin Xu, Jintao Cao, Ding Li
    2018-09-17
    47751 4931 Pages:655-671 Open-access
  • A Simple Low-Degree Optimal Finite Element Scheme for the Elastic Transmission Eigenvalue Problem

    Yingxia Xi, Xia Ji, Shuo Zhang
    2021-08-10
    47866 3058 Pages:1061-1082
  • A Nodal Finite Element Method for a Thermally Coupled Eddy-Current Problem with Moving Conductors

    Zezhong Wang, Qiya Hu
    2021-01-13
    44828 3325 Pages:767-801
  • Recurrence Phenomenon for Vlasov-Poisson Simulations on Regular Finite Element Mesh

    Michel Mehrenberger, Laurent Navoret, Nhung Pham
    2020-07-21
    46802 3199 Pages:877-901
  • Developing Finite Element Methods for Simulating Transformation Optics Devices with Metamaterials

    Wei Yang, Jichun Li, Yungqing Huang, Bin He
    2018-09-01
    46597 5532 Pages:135-154
  • Numerical Simulations for the Quasi-3D Fluid Streamer Propagation Model: Methods and Applications

    Chijie Zhuang, Mengmin Huang, Rong Zeng
    2020-07-31
    43380 3317 Pages:1259-1278
  • High Moment and Pathwise Error Estimates for Fully Discrete Mixed Finite Element Approximations of Stochastic Navier-Stokes Equations with Additive Noise

    Xiaobing Feng, Liet Vo
    2024-10-09
    15364 1238 Pages:821-849
  • 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
    46053 3330 Pages:510-530
  • A Constrained Finite Element Method Based on Domain Decomposition Satisfying the Discrete Maximum Principle for Diffusion Problems

    Xingding Chen, Guangwei Yuan
    2018-04-03
    39741 3166 Pages:297-320
  • Dispersion Error Analysis of Stable Node-Based Finite Element Method for the Helmholtz Equation

    Xin Hu, Xiangyang Cui, Qunyi Zhang, Gang Wang, Guangyao Li
    2018-08-21
    47177 3635 Pages:795-821
  • A Weak Galerkin Finite Element Method for the Navier-Stokes Equations

    Jiachuan Zhang, Kai Zhang, Jingzhi Li, Xiaoshen Wang
    2018-08-21
    48767 3296 Pages:706-746
  • Efficient Energy-Stable Parametric Finite Element Methods for Surface Diffusion Flow and Applications in Solid-State Dewetting

    Meng Li, Yihang Guo, Jingjiang Bi
    2025-08-23
    6438 475 Pages:729-765
  • Finite Element Algorithm for Dynamic Thermoelasticity Coupling Problems and Application to Transient Response of Structure with Strong Aerothermodynamic Environment

    Zhihui Li, Qiang Ma, Junzhi Cui
    2018-04-04
    40595 3384 Pages:773-810
  • Two-Grid Method for Miscible Displacement Problem by Mixed Finite Element Methods and Mixed Finite Element Method of Characteristics

    Yanping Chen, Hanzhang Hu
    2020-07-31
    40481 3274 Pages:1503-1528
  • The Corrected Finite Volume Element Methods for Diffusion Equations Satisfying Discrete Extremum Principle

    Ang Li, Hongtao Yang, Yonghai Li, Guangwei Yuan
    2023-01-24
    37882 3082 Pages:1437-1473
  • A Moving Mesh Finite Element Method for Bernoulli Free Boundary Problems

    Jinye Shen, Heng Dai, Weizhang Huang
    2024-07-29
    24233 1819 Pages:248-273
  • Adaptive Finite Element Modeling Techniques for the Poisson-Boltzmann Equation

    M. Holst, J. A. McCammon, Z. Yu, Y. C. Zhou, Y. Zhu
    2012-11-01
    40217 4417 Pages:179-214
  • An Inverse Averaging Finite Element Method for Solving the Size-Modified Poisson-Nernst-Planck Equations in Ion Channel Simulations

    Ruigang Shen, Qianru Zhang, Benzhuo Lu
    2024-09-06
    19774 1609 Pages:521-550
  • A Penalty-Free or Penalty-Factor-Free DG Method with a Locally Reconstructed Curl Operator for the Maxwell Eigenproblem

    Zhijie Du, Huoyuan Duan, Duowei Zhu
    2025-08-23
    6537 487 Pages:887-922
  • A Bilinear Immersed Finite Volume Element Method for the Diffusion Equation with Discontinuous Coefficient

    X. -M. He, T. Lin, Y. Lin
    2009-06-01
    39080 4333 Pages:185-202
  • Fast Numerical Simulation of Two-Phase Transport Model in the Cathode of a Polymer Electrolyte Fuel Cell

    Pengtao Sun, Guangri Xue, Chaoyang Wang, Jinchao Xu
    2009-06-01
    38875 4276 Pages:49-71
  • A Hybrid Finite Element-Laplace Transform Method for the Analysis of Transient Electromagnetic Scattering by an Over-Filled Cavity in the Ground Plane

    Junqi Huang, Aihua W. Wood, Michael J. Havrilla
    2018-03-24
    38000 4556 Pages:126-141
  • Enforcing the Discrete Maximum Principle for Linear Finite Element Solutions of Second-Order Elliptic Problems

    Richard Liska, Mikhail Shashkov
    2008-03-01
    38067 4185 Pages:852-877
  • A Parallel Computational Model for Three-Dimensional, Thermo-Mechanical Stokes Flow Simulations of Glaciers and Ice Sheets

    Wei Leng, Lili Ju, Max Gunzburger, Stephen Price
    2014-10-08
    42706 4279 Pages:1056-1080
  • A Stabilized Finite Element Method for Modified Poisson-Nernst-Planck Equations to Determine Ion Flow Through a Nanopore

    Jehanzeb Hameed Chaudhry, Jeffrey Comer, Aleksei Aksimentiev, Luke N. Olson
    2014-01-05
    40715 4277 Pages:93-125
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