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  • Efficient, Accurate and Energy Stable Discontinuous Galerkin Methods for Phase Field Models of Two-Phase Incompressible Flows

    Ruihan Guo, Yan Xu
    2019-07-02
    49554 3194 Pages:1224-1248
  • A Hybrid Method with TENO Based Discontinuity Indicator for Hyperbolic Conservation Laws

    Lin Fu
    2019-07-02
    48720 3326 Pages:973-1007
  • Quantum Annealing with Anneal Path Control: Application to 2-SAT Problems with Known Energy Landscapes

    Ting-Jui Hsu, Fengping Jin, Christian Seidel, Florian Neukart, Hans De Raedt, Kristel Michielsen
    2019-04-28
    47781 5047 Pages:928-946 Open-access
  • An Adaptive High Order WENO Solver for Conservation Laws

    Cheng Liu, Changhong Hu
    2019-04-28
    46793 3524 Pages:719-748
  • A Targeted ENO Scheme as Implicit Model for Turbulent and Genuine Subgrid Scales

    Lin Fu, Xiangyu Hu, Nikolaus A. Adams
    2019-04-04
    49436 3347 Pages:311-345
  • A Novel Method for Solving Time-Dependent 2D Advection-Diffusion-Reaction Equations to Model Transfer in Nonlinear Anisotropic Media

    Ji Lin, Sergiy Reutskiy, C. S. Chen, Jun Lu
    2019-02-25
    47446 5577 Pages:233-264
  • The Weak Galerkin Method for Elliptic Eigenvalue Problems

    Qilong Zhai, Hehu Xie, Ran Zhang, Zhimin Zhang
    2019-02-25
    48397 5527 Pages:160-191
  • A Nonlinear Finite Volume Element Method Satisfying Maximum Principle for Anisotropic Diffusion Problems on Arbitrary Triangular Meshes

    Yanni Gao, Shuai Wang, Guangwei Yuan, Xudeng Hang
    2019-02-25
    46000 5144 Pages:135-159
  • DASHMM Accelerated Adaptive Fast Multipole Poisson-Boltzmann Solver on Distributed Memory Architecture

    Bo Zhang, Jackson DeBuhr, Drake Niedzielski, Silvio Mayolo, Benzhuo Lu, Thomas Sterling
    2018-12-08
    48659 3352 Pages:1235-1258
  • Superconvergence for Triangular Linear Edge Elements

    Chao Wu, Yunqing Huang, Wenying Lu, Zhiguang Xiong, Jinyun Yuan
    2018-12-08
    48013 3449 Pages:1045-1070
  • A Novel Second-Order Scheme for the Molecular Beam Epitaxy Model with Slope Selection

    Lizhen Chen, Jia Zhao, Yuezheng Gong
    2018-12-08
    49134 3715 Pages:1024-1044
  • A Simplified Artificial Compressibility Flux for the Discontinuous Galerkin Solution of the Incompressible Navier-Stokes Equations

    Fan Zhang, Hansong Tang, Jian Cheng, Tiegang Liu
    2018-12-08
    48845 3547 Pages:988-1009
  • Discontinuous Bubble Immersed Finite Element Method for Poisson-Boltzmann Equation

    In Kwon, Do Y. Kwak
    2018-11-09
    48272 3473 Pages:928-946
  • A Gas-Kinetic Riemann Solver for Stiffened Gas Interface and Its Application in Multimaterial Flows

    Qibing Li
    2018-10-11
    45178 3412 Pages:416-447
  • Local RBF Algorithms for Elliptic Boundary Value Problems in Annular Domains

    C. S. Chen, Andreas Karageorghis
    2018-09-01
    45774 5216 Pages:41-67
  • Solution of Cauchy Problems by the Multiple Scale Method of Particular Solutions Using Polynomial Basis Functions

    Ji Lin, Yuhui Zhang, Thir Dangal, C. S. Chen
    2018-09-17
    44636 3608 Pages:1409-1434
  • An Improved Formulation for Hybridizable Discontinuous Galerkin Fluid-Structure Interaction Modeling with Reduced Computational Expense

    Jason P. Sheldon, Scott T. Miller, Jonathan S. Pitt
    2018-09-17
    45404 3809 Pages:1279-1299
  • A Uniformly Convergent Scheme for Radiative Transfer Equation in the Diffusion Limit Up to the Boundary and Interface Layers

    Hongfei Chen, Gaoyu Chen, Xiang Hong, Hao Gao, Min Tang
    2020-07-31
    45049 3328 Pages:1021-1048
  • An Improved Immersed Boundary Method with New Forcing Point Searching Scheme for Simulation of Bodies in Free Surface Flows

    Bin Yan, Wei Bai, Ser Tong Quek
    2018-09-17
    45723 3192 Pages:830-859
  • Numerical Solution of a Degenerate, Diffusion Reaction Based Biofilm Growth Model on Structured Non-Orthogonal Grids

    Md. Afsar Ali, Hermann J. Eberl, Rangarajan Sudarsan
    2018-09-17
    46102 3199 Pages:695-741
  • Numerical Method of Profile Reconstruction for a Periodic Transmission Problem from Single-Sided Data

    Mingming Zhang, Junliang Lv
    2018-09-17
    45573 3483 Pages:435-453
  • Preconditioning of a Coupled Cahn-Hilliard Navier-Stokes System

    Jessica Bosch, Christian Kahle, Martin Stoll
    2018-08-21
    48747 3437 Pages:603-628
  • Lithography of Aluminum Coated PVDF Annular Array for Photoacoustic Endoscopy

    Jiaying Xiao, Tianshuang Wang, Kuan Peng, Xiaokai Zhang, Bo Wang
    2018-08-21
    47421 3262 Pages:561-571
  • An $hp$-Adaptive Minimum Action Method Based on a Posteriori Error Estimate

    Xiaoliang Wan, Bin Zheng, Guang Lin
    2018-08-21
    47023 3166 Pages:408-439
  • Dispersive Shallow Water Wave Modelling. Part IV: Numerical Simulation on a Globally Spherical Geometry

    Gayaz Khakimzyanov, Denys Dutykh, Oleg Gusev
    2018-08-21
    47430 3251 Pages:361-407
  • Error Estimates for the Iterative Discontinuous Galerkin Method to the Nonlinear Poisson-Boltzmann Equation

    Peimeng Yin, Yunqing Huang, Hailiang Liu
    2018-07-03
    46426 5092 Pages:168-197
  • Dispersive Shallow Water Wave Modelling. Part II: Numerical Simulation on a Globally Flat Space

    Gayaz Khakimzyanov, Denys Dutykh, Oleg Gusev, Nina Yu. Shokina
    2018-07-03
    47803 5538 Pages:30-92
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