Search Results

• Energy Stable Gradient Flow Schemes for Shape and Topology Optimization in Navier-Stokes Flows

  Jiajie Li, Shengfeng Zhu

  2025-08-08

  4447 455 Pages:404-438

• Unconstrained ETD Methods on the Diffuse-Interface Model with the Peng-Robinson Equation of State

  Menghuo Chen, Yuanqing Wu, Xiaoyu Feng, Shuyu Sun

  2024-05-06

  28770 1940 Pages:973-1002

• Finite-Volume TENO Scheme with a New Cell-Interface Flux Evaluation Strategy for Unstructured Meshes

  Tian Liang, Lin Fu

  2024-05-06

  35287 2667 Pages:938-972

• A Spectral Method for a Fokker-Planck Equation in Neuroscience with Applications in Neuron Networks with Learning Rules

  Pei Zhang, Yanli Wang, Zhennan Zhou

  2024-01-31

  28862 2368 Pages:70-106

• Nonconforming Finite Elements for the −curl∆curl and Brinkman Problems on Cubical Meshes

  Qian Zhang, Min Zhang, Zhimin Zhang

  2023-12-11

  33997 2593 Pages:1332-1360

• Implicit Quadrature-Free Direct Reconstruction Method for Efficient Scale-Resolving Simulations

  Hojun You, Juhyun Kim, Chongam Kim

  2023-05-12

  36016 2932 Pages:992-1034

• Fourier Collocation and Reduced Basis Methods for Fast Modeling of Compressible Flows

  Jian Yu, Deep Ray, Jan S. Hesthaven

  2022-09-29

  42916 3340 Pages:595-637

• 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

• 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

• New Unconditionally Stable Schemes for the Navier-Stokes Equations

  Hui Yao, Mejdi Azaiez, Chuanju Xu

  2021-08-10

  48952 3088 Pages:1083-1117

• An Edge-Based Smoothed Finite Element Method with TBC for the Elastic Wave Scattering by an Obstacle

  Ze Wu, Junhong Yue, Ming Li, Ruiping Niu, Yufei Zhang

  2021-07-01

  48415 3216 Pages:709-748

• An Efficient Positivity-Preserving Finite Volume Scheme for the Nonequilibrium Three-Temperature Radiation Diffusion Equations on Polygonal Meshes

  Shuai Su, Huazhong Tang, Jiming Wu

  2021-05-25

  48625 3111 Pages:448-485

• Multi-Resolution Method Based on Riemann Solvers for Detonation and Deflagration in High Dimension

  Wenhua Ma, Guoxi Ni, Min Xiao

  2021-03-24

  44453 3262 Pages:1385-1410

• 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

• High Order Conservative Semi-Lagrangian Scheme for the BGK Model of the Boltzmann Equation

  Sebastiano Boscarino, Seung-Yeon Cho, Giovanni Russo, Seok-Bae Yun

  2020-11-26

  46890 4389 Pages:1-56

• An Efficient Finite Element Method with Exponential Mesh Refinement for the Solution of the Allen-Cahn Equation in Non-Convex Polygons

  Emine Celiker, Ping Lin

  2020-08-27

  47626 2950 Pages:1536-1560

• Extended Synchronous Variational Integrators for Wave Propagations on Non-Uniform Meshes

  Pei Liu, Jerry Zhijian Yang, Cheng Yuan

  2020-06-05

  47743 3359 Pages:691-722

• Q Inversion and Comparison of Influential Factors among Three Methods: CFS, SR, and AA

  Yinting Wu, J. T. Wu

  2020-06-05

  48588 4224 Pages:356-371

• Unconditional Positivity-Preserving and Energy Stable Schemes for a Reduced Poisson-Nernst-Planck System

  Hailiang Liu, Wumaier Maimaitiyiming

  2020-05-06

  49576 3616 Pages:1505-1529

• Decoupled, Energy Stable Numerical Scheme for the Cahn-Hilliard-Hele-Shaw System with Logarithmic Flory-Huggins Potential

  Hong-En Jia, Ya-Yu Guo, Ming Li, Yunqing Huang, Guo-Rui Feng

  2020-02-23

  48379 3215 Pages:1053-1075

• A Multirate Approach for Fluid-Structure Interaction Computation with Decoupled Methods

  Lian Zhang, Mingchao Cai, Mo Mu

  2020-02-23

  51185 3300 Pages:1014-1031

• The New Operator Marching Method on Calculating the Electromagnetic Scattered Fields from the Periodic Structures

  Yu Mao Wu, Ke Wei Chen, Jun Hu, Haijing Zhou, Yang Liu, Lijun Yuan

  2019-12-07

  46410 3019 Pages:569-588

• Upwind Biased Local RBF Scheme with PDE Centres for the Steady Convection Diffusion Equations with Continuous and Discontinuous Boundary Conditions

  K. Monysekar, Y. V. S. S. Sanyasiraju

  2019-12-07

  44991 3113 Pages:460-479

• A Conservative Numerical Method for the Cahn–Hilliard Equation with Generalized Mobilities on Curved Surfaces in Three-Dimensional Space

  Darae Jeong, Yibao Li, Chaeyoung Lee, Junxiang Yang, Junseok Kim

  2019-12-07

  46946 3227 Pages:412-430

• Better Approximations of High Dimensional Smooth Functions by Deep Neural Networks with Rectified Power Units

  Bo Li, Shanshan Tang, Haijun Yu

  2019-12-07

  51684 3375 Pages:379-411

• A New Multi-Component Diffuse Interface Model with Peng-Robinson Equation of State and Its Scalar Auxiliary Variable (SAV) Approach

  Zhonghua Qiao, Shuyu Sun, Tao Zhang, Yuze Zhang

  2019-08-27

  47897 3421 Pages:1597-1616

• High-Order Spectral Simulation of Graphene Ribbons

  David P. Nicholls

  2019-08-27

  43416 3158 Pages:1575-1596