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  • A High Order Adaptive Time-Stepping Strategy and Local Discontinuous Galerkin Method for the Modified Phase Field Crystal Equation

    Ruihan Guo & Yan Xu
    2018-09-17
    67756 5453 Pages:123-151
  • Semi-Implicit Spectral Deferred Correction Method Based on the Invariant Energy Quadratization Approach for Phase Field Problems

    Ruihan Guo & Yan Xu
    2019-02-25
    50240 5305 Pages:87-113
  • Efficient, Accurate and Energy Stable Discontinuous Galerkin Methods for Phase Field Models of Two-Phase Incompressible Flows

    Ruihan Guo, Yan Xu
    2019-07-02
    49455 3145 Pages:1224-1248
  • An Interface-Capturing Regularization Method for Solving the Equations for Two-Fluid Mixtures

    Jian Du, Robert D. Guy, Aaron L. Fogelson, Grady B. Wright & James P. Keener
    2013-11-05
    40172 3931 Pages:1322-1346
  • A GPU-Accelerated Hybridizable Discontinuous Galerkin Method for Linear Elasticity

    Maurice S. Fabien
    2019-12-07
    47230 5003 Pages:513-545 Open-access
  • 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
    49304 3241 Pages:967-998
  • An Efficient, Energy Stable Scheme for the Cahn-Hilliard-Brinkman System

    Craig Collins, Jie Shen & Steven M. Wise
    2013-08-05
    44002 4262 Pages:929-957
  • An Adaptive Mesh Refinement Strategy for Immersed Boundary/Interface Methods

    Zhilin Li & Peng Song
    2020-07-31
    39338 4434 Pages:515-527
  • Numerical Solution of 3D Poisson-Nernst-Planck Equations Coupled with Classical Density Functional Theory for Modeling Ion and Electron Transport in a Confined Environment

    Da Meng, Bin Zheng, Guang Lin & Maria L. Sushko
    2014-11-08
    41457 3870 Pages:1298-1322
  • 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
    31660 2601 Pages:1079-1132
  • Higher-Order Compact Scheme for the Incompressible Navier-Stokes Equations in Spherical Geometry

    T. V. S. Sekhar, B. Hema Sundar Raju & Y. V. S. S. Sanyasiraju
    2012-11-01
    39595 4341 Pages:99-113
  • Towards the Efficient Calculation of Quantity of Interest from Steady Euler Equations I: A Dual-Consistent DWR-Based $h$-Adaptive Newton-GMG Solver

    Jingfeng Wang, Guanghui Hu
    2024-04-10
    24603 2221 Pages:579-608 Open-access
  • A Multilevel Domain Decomposition Approach for Studying Coupled Flow Applications

    E. Aulisa, A. Cervone, S. Manservisi & P. Seshaiyer
    2018-03-24
    37326 3766 Pages:319-341
  • First-Order System Least-Squares Methods for a Flux Control Problem by the Stokes Flow

    Soorok Ryu, Sang Dong Kim & Hyung-Chun Lee
    2010-07-01
    38551 3920 Pages:738-758
  • An Efficient Two-Grid Scheme for the Cahn-Hilliard Equation

    Jie Zhou, Long Chen, Yunqing Huang & Wansheng Wang
    2018-04-02
    42715 4471 Pages:127-145
  • Implicit Discontinuous Galerkin Method for RANS Simulation Utilizing Pointwise Relaxation Algorithm

    Kanako Yasue, Michiko Furudate, Naofumi Ohnishi & Keisuke Sawada
    2010-07-01
    40781 4064 Pages:510-533
  • The Geometry Behind Numerical Solvers of the Poisson-Boltzmann Equation

    Xinwei Shi & Patrice Koehl
    2008-03-01
    40348 4171 Pages:1032-1050
  • AutoAMG($θ$): An Auto-Tuned AMG Method Based on Deep Learning for Strong Threshold

    Haifeng Zou, Xiaowen Xu, Chen-Song Zhang, Zeyao Mo
    2024-07-29
    24538 1767 Pages:200-220
  • An Efficient Numerical Algorithm for Solving Coupled Time-Dependent Ginzburg-Landau Equation for Superconductivity and Elasticity

    Qingguo Hong, Limin Ma, Daniel Fortino, Long-Qing Chen, Jinchao Xu
    2025-09-18
    4409 329 Pages:1498-1514
  • High Efficient Numerical Simulation of Infrared Radiation from a Hot Exhaust Nozzle

    Haiyang Hu, Peng Bai & Qiang Wang
    2020-07-31
    39336 3855 Pages:1182-1204
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