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  • On the Stability and Accuracy of the BGK, MRT and RLB Boltzmann Schemes for the Simulation of Turbulent Flows

    Patrick Nathen, Daniel Gaudlitz, Mathias J. Krause, Nikolaus A. Adams
    2018-08-21
    54132 3304 Pages:846-876
  • An Immersed Boundary Method for Simulating Interfacial Flows with Insoluble Surfactant in Three Dimensions

    Yunchang Seol, Shih-Hsuan Hsu, Ming-Chih Lai
    2018-08-21
    47468 3269 Pages:640-664
  • Error Estimates for the Iterative Discontinuous Galerkin Method to the Nonlinear Poisson-Boltzmann Equation

    Peimeng Yin, Yunqing Huang, Hailiang Liu
    2018-07-03
    46422 5083 Pages:168-197
  • An Adaptive Finite Element PML Method for the Acoustic-Elastic Interaction in Three Dimensions

    Xue Jiang, Peijun Li
    2017-11-02
    42999 3539 Pages:1486-1507
  • Mesh Density Functions Based on Local Bandwidth Applied to Moving Mesh Methods

    Elliott S. Wise, Ben T. Cox, Bradley E. Treeby
    2017-11-02
    42857 3559 Pages:1286-1308
  • A Third Order Adaptive ADER Scheme for One Dimensional Conservation Laws

    Yaguang Gu, Guanghui Hu
    2017-09-02
    44545 3231 Pages:829-851
  • A Symmetric Direct Discontinuous Galerkin Method for the Compressible Navier-Stokes Equations

    Huiqiang Yue, Jian Cheng, Tiegang Liu
    2018-04-09
    42669 3296 Pages:375-392
  • Variations on Hermite Methods for Wave Propagation

    Arturo Vargas, Jesse Chan, Thomas Hagstrom, Timothy Warburton
    2018-04-09
    42131 3434 Pages:303-337
  • Efficient Time-Stepping/Spectral Methods for the Navier-Stokes-Nernst-Planck-Poisson Equations

    Xiaoling Liu, Chuanju Xu
    2018-04-09
    41988 3413 Pages:1408-1428
  • A High-Order Time Domain Discontinuous Galerkin Method with Orthogonal Tetrahedral Basis for Electromagnetic Simulations in 3-D Heterogeneous Conductive Media

    Jun Yang, Wei Cai, Xiaoping Wu
    2018-04-09
    43260 3363 Pages:1065-1089
  • Schemes with Well-Controlled Dissipation. Hyperbolic Systems in Nonconservative Form

    Abdelaziz Beljadid, Philippe G. LeFloch, Siddhartha Mishra, Carlos Parés
    2018-04-09
    43084 3229 Pages:913-946
  • Hermite Type Spline Spaces over Rectangular Meshes with Complex Topological Structures

    Meng Wu, Bernard Mourrain, André Galligo, Boniface Nkonga
    2018-04-09
    41846 3191 Pages:835-866
  • High Order Accurate Direct Arbitrary-Lagrangian-Eulerian ADER-MOOD Finite Volume Schemes for Non-Conservative Hyperbolic Systems with Stiff Source Terms

    Walter Boscheri, Raphaël Loubère
    2018-04-08
    41588 4733 Pages:271-312
  • An Adaptive Grid Method for Singularly Perturbed Time-Dependent Convection-Diffusion Problems

    Yanping Chen, Li-Bin Liu
    2020-07-30
    42088 3488 Pages:1340-1358
  • A Comparative Study of Rosenbrock-Type and Implicit Runge-Kutta Time Integration for Discontinuous Galerkin Method for Unsteady 3D Compressible Navier-Stokes equations

    Xiaodong Liu, Yidong Xia, Hong Luo, Lijun Xuan
    2018-04-04
    40507 3343 Pages:1016-1044
  • Hybrid and Multiplicative Overlapping Schwarz Algorithms with Standard Coarse Spaces for Mixed Linear Elasticity and Stokes Problems

    Mingchao Cai, Luca F. Pavarino
    2018-04-04
    40160 3245 Pages:989-1015
  • A Comparison of Higher-Order Weak Numerical Schemes for Stopped Stochastic Differential Equations

    Francisco Bernal, Juan A. Acebrón
    2018-04-04
    40529 3277 Pages:703-732
  • Extended Hydrodynamic Models and Multigrid Solver of a Silicon Diode Simulation

    Zhicheng Hu, Ruo Li, Zhonghua Qiao
    2018-04-04
    41024 3271 Pages:551-582
  • Forward Scattering and Volterra Renormalization for Acoustic Wavefield Propagation in Vertically Varying Media

    Jie Yao, Anne-Cécile Lesage, Fazle Hussain, Donald J. Kouri
    2018-04-04
    39789 3254 Pages:353-373
  • Finite Volume Lattice Boltzmann Method for Nearly Incompressible Flows on Arbitrary Unstructured Meshes

    Weidong Li, Li-Shi Luo
    2018-04-04
    39764 3216 Pages:301-324
  • Construction and Analysis of an Adapted Spectral Finite Element Method to Convective Acoustic Equations

    Andreas Hüppe, Gary Cohen, Sébastien Imperiale, Manfred Kaltenbacher
    2018-04-04
    42971 5153 Pages:1-22
  • On Fully Decoupled, Convergent Schemes for Diffuse Interface Models for Two-Phase Flow with General Mass Densities

    Guenther Gruen, Francisco Guillen-Gonzalez, Stefan Metzger
    2020-07-31
    40482 3300 Pages:1473-1502
  • Analysis of a Two-Level Algorithm for HDG Methods for Diffusion Problems

    Binjie Li, Xiaoping Xie, Shiquan Zhang
    2020-07-31
    40282 3342 Pages:1435-1460
  • Chebyshev-Legendre Spectral Domain Decomposition Method for Two-Dimensional Vorticity Equations

    Hua Wu, Jiajia Pan, Haichuan Zheng
    2020-07-31
    41058 3331 Pages:1221-1241
  • A Well-Conditioned Hypersingular Boundary Element Method for Electrostatic Potentials in the Presence of Inhomogeneities within Layered Media

    Brian Zinser, Wei Cai
    2018-04-04
    40884 3226 Pages:970-997
  • A Second-Order Finite Difference Method for Two-Dimensional Fractional Percolation Equations

    Boling Guo, Qiang Xu, Ailing Zhu
    2018-04-03
    40782 3221 Pages:733-757
  • The Mass-Preserving S-DDM Scheme for Two-Dimensional Parabolic Equations

    Zhongguo Zhou, Dong Liang
    2018-04-03
    41581 3245 Pages:411-441
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