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  • Deep Unfitted Nitsche Method for Elliptic Interface Problems

    Hailong Guo, Xu Yang
    2022-03-30
    52499 3243 Pages:1162-1179
  • A Cartesian Grid-Based Boundary Integral Method for an Elliptic Interface Problem on Closely Packed Cells

    Wenjun Ying
    2020-07-31
    43976 3204 Pages:1196-1220
  • An Accurate and Scalable Direction-Splitting Solver for Flows Laden with Non-Spherical Rigid Bodies – Part 1: Fixed Rigid Bodies

    Aashish Goyal, Anthony Wachs
    2023-11-08
    31555 2569 Pages:1079-1132
  • On the Convergence of Physics Informed Neural Networks for Linear Second-Order Elliptic and Parabolic Type PDEs

    Yeonjong Shin, Jérôme Darbon, George Em Karniadakis
    2020-11-18
    88478 4440 Pages:2042-2074
  • A Stable Arbitrarily High Order Time-Stepping Method for Thermal Phase Change Problems

    Weiwen Wang, Chuanju Xu
    2023-03-13
    40289 3292 Pages:477-510
  • 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
    40054 4294 Pages:179-214
  • Operator Splitting for Three-Phase Flow in Heterogeneous Porous Media

    E. Abreu, J. Douglas, F. Furtado & F. Pereira
    2009-06-01
    38300 4114 Pages:72-84
  • Mixed Multiscale Finite Volume Methods for Elliptic Problems in Two-Phase Flow Simulations

    Lijian Jiang & Ilya D. Mishev
    2012-11-01
    39336 4065 Pages:19-47
  • Degenerate Anisotropic Elliptic Problems and Magnetized Plasma Simulations

    Stéphane Brull, Pierre Degond & Fabrice Deluzet
    2012-11-01
    39465 4197 Pages:147-178
  • An Adaptive ANOVA-Based Data-Driven Stochastic Method for Elliptic PDEs with Random Coefficient

    Zhiwen Zhang, Xin Hu, Thomas Y. Hou, Guang Lin & Mike Yan
    2014-12-08
    39540 3893 Pages:571-598
  • An Efficient Neural-Network and Finite-Difference Hybrid Method for Elliptic Interface Problems with Applications

    Wei-Fan Hu, Te-Sheng Lin, Yu-Hau Tseng, Ming-Chih Lai
    2023-05-12
    36233 2866 Pages:1090-1105
  • 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
    46295 3261 Pages:1094-1128
  • 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
  • An Energy Regularization for Cauchy Problems of Laplace Equation in Annulus Domain

    Houde Han, Leevan Ling & Tomoya Takeuchi
    2011-09-01
    39296 4624 Pages:878-896 Open-access
  • 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
  • Parallel Algebraic Multigrid Methods in Gyrokinetic Turbulence Simulations

    M. F. Adams & Y. Nishimura
    2007-02-01
    37195 3846 Pages:881-899
  • Numerical Study of the Unsteady Aerodynamics of Freely Falling Plates

    Changqiu Jin & Kun Xu
    2008-03-01
    38691 4059 Pages:834-851
  • Multilevel Preconditioners for the Interior Penalty Discontinuous Galerkin Method II - Quantitative Studies

    Kolja Brix, Martin Campos Pinto, Wolfgang Dahmen & Ralf Massjung
    2018-04-11
    42169 3747 Pages:296-325
  • Extrapolation Cascadic Multigrid Method for Cell-Centered FV Discretization of Diffusion Equations with Strongly Discontinuous and Anisotropic Coefficients

    Kejia Pan, Xiaoxin Wu, Yunlong Yu, Zhiqiang Sheng, Guangwei Yuan
    2022-05-06
    44383 3124 Pages:1561-1584
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