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  • A Nodal Finite Element Method for a Thermally Coupled Eddy-Current Problem with Moving Conductors

    Zezhong Wang, Qiya Hu
    2021-01-13
    44625 3268 Pages:767-801
  • 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
    40334 3242 Pages:1503-1528
  • Simulating Two-Phase Viscoelastic Flows Using Moving Finite Element Methods

    Yubo Zhang, Heyu Wang & Tao Tang
    2018-03-24
    39271 4346 Pages:333-349
  • Enforcing the Discrete Maximum Principle for Linear Finite Element Solutions of Second-Order Elliptic Problems

    Richard Liska & Mikhail Shashkov
    2008-03-01
    37890 4103 Pages:852-877
  • Monotonic Diamond and DDFV Type Finite-Volume Schemes for 2D Elliptic Problems

    Xavier Blanc, Francois Hermeline, Emmanuel Labourasse, Julie Patela
    2023-09-04
    33922 2672 Pages:456-502
  • Robust Globally Divergence-Free Weak Galerkin Finite Element Methods for Natural Convection Problems

    Yihui Han, Xiaoping Xie
    2019-07-02
    45496 3297 Pages:1039-1070
  • Analysis of L1-Galerkin FEMs for Time-Fractional Nonlinear Parabolic Problems

    Dongfang Li, Hong-Lin Liao, Weiwei Sun, Jilu Wang & Jiwei Zhang
    2018-09-17
    51086 5768 Pages:86-103
  • A Posteriori Error Estimates for the Weak Galerkin Finite Element Methods on Polytopal Meshes

    Hengguang Li, Lin Mu & Xiu Ye
    2019-04-04
    46773 3326 Pages:558-578
  • Efficient Implementation of 3D FEM for Nonlocal Poisson Problem with Different Ball Approximation Strategies

    Gengjian Chen, Yuheng Ma, Jiwei Zhang
    2024-12-02
    223 58 Pages:1378-1410
  • Simulations of Compressible Two-Medium Flow by Runge-Kutta Discontinuous Galerkin Methods with the Ghost Fluid Method

    Jianxian Qiu, Tiegang Liu & Boo Cheong Khoo
    2018-03-24
    39463 3857 Pages:479-504
  • Time-Lapse 3-D Seismic Wave Simulation via the Generalized Multiscale Finite Element Method

    Yongchae Cho, Richard L. Gibson, Hyunmin Kim, Mikhail Artemyev, Yalchin Efendiev
    2020-06-05
    48980 4314 Pages:401-423
  • A New Approach of High Order Well-Balanced Finite Volume WENO Schemes and Discontinuous Galerkin Methods for a Class of Hyperbolic Systems with Source Terms

    Y. Xing & C.-W. Shu
    2018-03-22
    41764 4457 Pages:100-134
  • A Fully Implicit Finite Volume Lattice Boltzmann Method for Turbulent Flows

    Fatih Cevik & Kahraman Albayrak
    2018-04-09
    42164 3338 Pages:393-421
  • Efficient, Accurate and Energy Stable Discontinuous Galerkin Methods for Phase Field Models of Two-Phase Incompressible Flows

    Ruihan Guo, Yan Xu
    2019-07-02
    49349 3127 Pages:1224-1248
  • On the Construction of Well-Conditioned Hierarchical Bases for $\mathcal{H}(div)$-Conforming $\mathbb{R}^n$ Simplicial Elements

    Jianguo Xin, Wei Cai & Nailong Guo
    2013-09-05
    39760 4020 Pages:621-638
  • Adaptive hp-Finite Element Computations for Time-Harmonic Maxwell's Equations

    Xue Jiang, Linbo Zhang & Weiying Zheng
    2018-03-27
    38953 4123 Pages:559-582
  • The Geometry Behind Numerical Solvers of the Poisson-Boltzmann Equation

    Xinwei Shi & Patrice Koehl
    2008-03-01
    40269 4148 Pages:1032-1050
  • Multiscale Finite Element Methods for Flows on Rough Surfaces

    Yalchin Efendiev, Juan Galvis & M. Sebastian Pauletti
    2013-10-05
    38781 3890 Pages:979-1000
  • Quantum Implementation of Numerical Methods for Convection-Diffusion Equations: Toward Computational Fluid Dynamics

    Bofeng Liu, Lixing Zhu, Zixuan Yang, Guowei He
    2023-03-13
    41010 3389 Pages:425-451
  • A High-Order Central ENO Finite-Volume Scheme for Three-Dimensional Low-Speed Viscous Flows on Unstructured Mesh

    Marc R. J. Charest, Clinton P. T. Groth & Pierre Q. Gauthier
    2018-04-02
    37580 3079 Pages:615-656
  • High-Order Low Dissipation Conforming Finite-Element Discretization of the Maxwell Equations

    Sébastien Jund, Stéphanie Salmon & Eric Sonnendrücker
    2012-11-01
    42106 3911 Pages:863-892
  • Generalized Multiscale Finite Element Methods. Nonlinear Elliptic Equations

    Yalchin Efendiev, Juan Galvis, Guanglian Li & Michael Presho
    2014-03-05
    41397 4111 Pages:733-755
  • Pseudostress-Based Mixed Finite Element Methods for the Stokes Problem in Rn with Dirichlet Boundary Conditions I: A Priori Error Analysis

    Gabriel N. Gatica, Antonio Márquez & Manuel A. Sánchez
    2012-12-01
    40965 4491 Pages:109-134
  • Comparison of Lattice Boltzmann, Finite Element and Volume of Fluid Multicomponent Methods for Microfluidic Flow Problems and the Jetting of Microdroplets

    Karun P. N. Datadien, Gianluca Di Staso, Christian Diddens, Herman M. A. Wijshoff, Federico Toschi
    2023-04-28
    33363 2798 Pages:912-936
  • Velocity-Based Moving Mesh Methods for Nonlinear Partial Differential Equations

    M. J. Baines, M. E. Hubbard & P. K. Jimack
    2011-10-01
    39903 4885 Pages:509-576 Open-access
  • Numerical Methods for Two-Fluid Dispersive Fast MHD Phenomena

    Bhuvana Srinivasan, Ammar Hakim & Uri Shumlak
    2011-10-01
    39263 4385 Pages:183-215
  • Geometric Evolution Laws for Thin Crystalline Films: Modeling and Numerics

    Bo Li, John Lowengrub, Andreas Rätz & Axel Voigt
    2009-06-01
    41910 4693 Pages:433-482 Open-access
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