Search Results

• A High-Order Kernel-Free Boundary Integral Method for Incompressible Flow Equations in Two Space Dimensions

  Yaning Xie, Wenjun Ying

  2020-03-16

  44144 2926 Pages:595-619

• A General Cavitation Model for the Highly Nonlinear Mie-Grüneisen Equation of State

  Meiyan Fu, Tiao Lu

  2021-09-10

  45210 2526 Pages:1110-1135

• A Consistent Fourth-Order Compact Finite Difference Scheme for Solving Vorticity-Stream Function Form of Incompressible Navier-Stokes Equations

  Tao Wang & Tiegang Liu

  2018-09-18

  44447 4820 Pages:312-330

• Mixed Finite Element Methods for the Ferrofluid Model with Magnetization Paralleled to the Magnetic Field

  Yongke Wu, Xiaoping Xie

  2023-04-10

  37248 2630 Pages:489-510

• Simulating Three-Dimensional Free Surface Viscoelastic Flows Using Moving Finite Difference Schemes

  Yubo Zhang & Tao Tang

  2011-04-01

  39423 4014 Pages:92-112

• High-Order Accurate Runge-Kutta (Local) Discontinuous Galerkin Methods for One- and Two-Dimensional Fractional Diffusion Equations

  Xia Ji & Huazhong Tang

  2012-05-01

  41602 3617 Pages:333-358

• Augmented Lagrangian Methods for $p$-Harmonic Flows with the Generalized Penalization Terms and Application to Image Processing

  Huibin Chang & Xue-Cheng Tai

  2013-06-01

  40940 3884 Pages:1-20

• A New Discontinuous Galerkin Method for Parabolic Equations with Discontinuous Coefficient

  Rongpei Zhang, Xijun Yu, Xia Cui, Xiaohan Long & Tao Feng

  2013-06-01

  39974 3768 Pages:325-342

• Review of Methods Inspired by Algebraic-Multigrid for Data and Image Analysis Applications

  Meirav Galun, Ronen Basri & Irad Yavneh

  2020-11-10

  39287 2591 Pages:283-312

• A Conservative Formulation and a Numerical Algorithm for the Double-Gyre Nonlinear Shallow-Water Model

  Dongyang Kuang & Long Lee

  2015-08-01

  38713 2683 Pages:634-650

• A Mixed Analytical/Numerical Method for Velocity and Heat Transfer of Laminar Power-Law Fluids

  Botong Li, Liancun Zheng, Ping Lin, Zhaohui Wang & Mingjie Liao

  2016-09-01

  39640 2701 Pages:315-336

• Adaptive Mixed GMsFEM for Flows in Heterogeneous Media

  Ho Yuen Chan, Eric Chung & Yalchin Efendiev

  2016-09-01

  40200 3878 Pages:497-527 Open-access

• Spectral Method Approximation of Flow Optimal Control Problems with $H^1$-Norm State Constraint

  Yanping Chen & Fenglin Huang

  2017-10-01

  38327 2657 Pages:614-638

• Lattice Boltzmann Method for Simulating Phase Separation of Sheared Binary Fluids with Reversible Chemical Reaction

  Xiaoyu Wang, Jie Ouyang, Heng Yang & Jianwei Liu

  2017-10-01

  38305 2587 Pages:656-670

• A Numerical Study of Multiple Solutions for Laminar Flows in a Porous and Moving Channel

  Fen Wang, Ping Lin, Lin Li & Yongyue Jiang

  2018-09-17

  41986 4205 Pages:74-91

• A Numerical Study of Fluid-Particle Interaction with Slip Boundary Condition

  Xing Zhang, Li Luo & Xiaoping Wang

  2021-01-13

  42529 2825 Pages:795-809

• An Improved Model Reduction Method on AIMs for N-S Equations Using Multilevel Finite Element Method and Hierarchical Basis

  M. Nauman Aslam, Jiazhong Zhang, Nannan Dang & Riaz Ahmad

  2018-09-18

  42276 4467 Pages:115-133

• Error Analysis of SAV Finite Element Method to Phase Field Crystal Model

  Liupeng Wang, Yunqing Huang, Kai Jiang

  2020-03-09

  45713 2820 Pages:372-399

• A Finite Volume Scheme for Savage-Hutter Equations on Unstructured Grids

  Ruo Li, Xiaohua Zhang

  2020-03-09

  43588 2753 Pages:479-496

• A Simple Semi-Implicit Scheme for Partial Differential Equations with Obstacle Constraints

  Hao Liu, Shingyu Leung

  2020-03-16

  43839 2889 Pages:620-643

• Convergence Analysis on a Second-Order, Positive, and Unconditional Energy Dissipative Scheme for the Poisson-Nernst-Planck Equations

  Jie Ding, Xiang Ji, Ziheng Xu

  2025-09-01

  4714 361 Pages:703-732

• A Modularized Algorithmic Framework for Interface Related Optimization Problems Using Characteristic Functions

  Dong Wang, Shangzhi Zeng, Jin Zhang, Ning Zhang

  2025-05-16

  7175 479 Pages:437-462

• A Lagrangian Discontinuous Galerkin Scheme for the Compressible Euler Equations on Unstructured Triangular Meshes

  Xiaolong Zhao, Xijun Yu, Shicang Song, Shijun Zou, Fang Qing

  2024-12-11

  11509 1140 Pages:1074-1099

• Maximum-Principle-Preserving High-Order Conservative Difference Schemes for Convection-Dominated Diffusion Equations

  Lele Liu, Hong Zhang, Xu Qian, Songhe Song

  2024-12-11

  12080 1221 Pages:855-881

• A Physics-Informed Structure-Preserving Numerical Scheme for the Phase-Field Hydrodynamic Model of Ternary Fluid Flows

  Qi Hong, Yuezheng Gong, Jia Zhao

  2023-08-29

  35416 2951 Pages:565-596

• Convergent and Orthogonality Preserving Schemes for Approximating the Kohn-Sham Orbitals

  Xiaoying Dai, Liwei Zhang, Aihui Zhou

  2023-01-13

  39353 3560 Pages:1-25

• Effect of Space Dimensions on Equilibrium Solutions of Cahn-Hilliard and Conservative Allen-Cahn Equations

  Hyun Geun Lee, Junxiang Yang, Junseok Kim, Jintae Park

  2020-03-16

  45487 2831 Pages:644-664