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  • A NURBS-Enhanced Finite Volume Method for Steady Euler Equations with Goal-Oriented $h$-Adaptivity

    Xucheng Meng, Guanghui Hu
    2022-08-11
    303006 3783 Pages:490-523 Open-access
  • Continuous Finite Element Subgrid Basis Functions for Discontinuous Galerkin Schemes on Unstructured Polygonal Voronoi Meshes

    Walter Boscheri, Michael Dumbser, Elena Gaburro
    2022-07-06
    42146 3668 Pages:259-298
  • Directional $\mathcal{H}^2$ Compression Algorithm: Optimisations and Application to a Discontinuous Galerkin BEM for the Helmholtz Equation

    Nadir-Alexandre Messaï, Sebastien Pernet, Abdesselam Bouguerra
    2022-05-06
    43581 3155 Pages:1585-1635
  • 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
  • An Adaptive Modal Discontinuous Galerkin Finite Element Parallel Method Using Unsplit Multi-Axial Perfectly Matched Layer for Seismic Wave Modeling

    Yang Xu, Xiaofei Chen, Wei Zhang, Xiao Pan
    2022-03-30
    53936 3159 Pages:1083-1113
  • VAE-KRnet and Its Applications to Variational Bayes

    Xiaoliang Wan, Shuangqing Wei
    2022-03-30
    52156 3201 Pages:1049-1082
  • On a Hybrid Approach for Recovering Multiple Obstacles

    Yunwen Yin, Weishi Yin, Pinchao Meng, Hongyu Liu
    2022-03-03
    45683 3213 Pages:869-892
  • Kinetic Slip Boundary Condition for Isothermal Rarefied Gas Flows Through Static Non-Planar Geometries Based on the Regularized Lattice-Boltzmann Method

    Jean-Michel Tucny, David Vidal, Sébastien Leclaire, François Bertrand
    2022-03-03
    45290 3130 Pages:816-868
  • VPVnet: A Velocity-Pressure-Vorticity Neural Network Method for the Stokes’ Equations under Reduced Regularity

    Yujie Liu, Chao Yang
    2022-03-03
    45431 3205 Pages:739-770
  • High Order Finite Difference Hermite WENO Fixed-Point Fast Sweeping Method for Static Hamilton-Jacobi Equations

    Yupeng Ren, Yulong Xing, Jianxian Qiu
    2021-12-06
    47369 3809 Pages:154-187
  • Construction of a Minimum Energy Path for the VT Flash Model by the String Method Coupled with the Exponential Time Differencing Scheme

    Yuze Zhang, Yiteng Li, Lei Zhang, Shuyu Sun
    2021-10-26
    46482 3112 Pages:1529-1544
  • Adaptive Fully Implicit Simulator with Multilevel Schwarz Methods for Gas Reservoir Flows in Fractured Porous Media

    Rui Li, Haijian Yang, Chao Yang
    2021-10-26
    47322 3226 Pages:1499-1528
  • Layer-Splitting Methods for Time-Dependent Schrödinger Equations of Incommensurate Systems

    Ting Wang, Huajie Chen, Aihui Zhou, Yuzhi Zhou
    2021-10-26
    49699 3262 Pages:1474-1498
  • Two Nonlinear Positivity-Preserving Finite Volume Schemes for Three-Dimensional Heat Conduction Equations on General Polyhedral Meshes

    Menghuan Liu, Shi Shu, Guangwei Yuan, Xiaoqiang Yue
    2021-08-10
    47490 3185 Pages:1185-1215
  • New Unconditionally Stable Schemes for the Navier-Stokes Equations

    Hui Yao, Mejdi Azaiez, Chuanju Xu
    2021-08-10
    48952 3088 Pages:1083-1117
  • Grad-div Stabilized Finite Element Schemes for the Fluid-Fluid Interaction Model

    Wei Li, Pengzhan Huang, Yinnian He
    2021-05-25
    48989 3202 Pages:536-566
  • Multiple-Scattering $T$-Matrix Simulations for Nanophotonics: Symmetries and Periodic Lattices

    Marek Nečada, Päivi Törmä
    2021-05-25
    50700 3175 Pages:357-395
  • Non-Intrusive Reduced Order Modeling of Convection Dominated Flows Using Artificial Neural Networks with Application to Rayleigh-Taylor Instability

    Zhen Gao, Qi Liu, Jan S. Hesthaven, Bao-Shan Wang, Wai Sun Don, Xiao Wen
    2021-04-30
    49858 4428 Pages:97-123
  • A Mortar Spectral Element Method for Full-Potential Electronic Structure Calculations

    Yichen Guo, Lueling Jia, Huajie Chen, Huiyuan Li, Zhimin Zhang
    2021-03-24
    48164 3307 Pages:1541-1569
  • Blended Ghost Force Correction Method for 3D Crystalline Defects

    Lidong Fang, Lei Zhang
    2021-02-25
    44918 3167 Pages:1246-1272
  • A Decoupled Energy Stable Adaptive Finite Element Method for Cahn–Hilliard–Navier–Stokes Equations

    Yaoyao Chen, Yunqing Huang, Nianyu Yi
    2021-02-25
    47818 3389 Pages:1186-1212
  • Solving Allen-Cahn and Cahn-Hilliard Equations Using the Adaptive Physics Informed Neural Networks

    Colby L. Wight, Jia Zhao
    2021-01-13
    58901 3820 Pages:930-954
  • A Third Order BDF Energy Stable Linear Scheme for the No-Slope-Selection Thin Film Model

    Yonghong Hao, Qiumei Huang, Cheng Wang
    2021-01-13
    47156 3442 Pages:905-929
  • Algebraic Multigrid Block Preconditioning for Multi-Group Radiation Diffusion Equations

    Xiaoqiang Yue, Shulei Zhang, Xiaowen Xu, Shi Shu, Weidong Shi
    2021-01-13
    45791 3222 Pages:831-852
  • Structure-Preserving Numerical Methods for Stochastic Poisson Systems

    Jialin Hong, Jialin Ruan, Liying Sun, Lijin Wang
    2021-01-13
    47269 3342 Pages:802-830
  • Harmonic Surface Mapping Algorithm for Electrostatic Potentials in an Atomistic/Continuum Hybrid Model for Electrolyte Solutions

    Jing Fu, Zecheng Gan
    2020-12-02
    45465 3271 Pages:571-587
  • The Immersed Interface Method for Non-Smooth Rigid Objects in Incompressible Viscous Flows

    Yang Liu, Sheng Xu
    2020-12-02
    44570 3233 Pages:510-533
136 - 162 of 342 items
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