Search Results

• A Unified Gas Kinetic Scheme for Continuum and Rarefied Flows V: Multiscale and Multi-Component Plasma Transport

  Chang Liu & Kun Xu

  2017-11-02

  52471 3652 Pages:1175-1223

• Solving Allen-Cahn and Cahn-Hilliard Equations Using the Adaptive Physics Informed Neural Networks

  Colby L. Wight, Jia Zhao

  2021-01-13

  59168 3906 Pages:930-954

• Efficient Numerical Solution of Dynamical Ginzburg-Landau Equations under the Lorentz Gauge

  Huadong Gao

  2019-10-31

  42810 4829 Pages:182-201

• Mesh Sensitivity for Numerical Solutions of Phase-Field Equations Using r-Adaptive Finite Element Methods

  Heyu Wang & Ruo Li

  2018-03-24

  40104 3955 Pages:357-375

• A Stabilized Finite Element Method for Modified Poisson-Nernst-Planck Equations to Determine Ion Flow Through a Nanopore

  Jehanzeb Hameed Chaudhry, Jeffrey Comer, Aleksei Aksimentiev & Luke N. Olson

  2014-01-05

  40610 4210 Pages:93-125

• A Fourth Order Numerical Method for the Primitive Equations Formulated in Mean Vorticity

  Jian-Guo Liu & Cheng Wang

  2008-04-01

  38823 4248 Pages:26-55

• Benchmark Computations of the Phase Field Crystal and Functionalized Cahn-Hilliard Equations via Fully Implicit, Nesterov Accelerated Schemes

  Jea-Hyun Park, Abner J. Salgado, Steven M. Wise

  2023-03-13

  46477 3605 Pages:367-398

• Hyperbolic Divergence Cleaning in Lattice Boltzmann Magnetohydrodynamics

  Paul J. Dellar

  2023-02-20

  43308 3480 Pages:245-272

• A RKDG Method for 2D Lagrangian Ideal Magnetohydrodynamics Equations with Exactly Divergence-Free Magnetic Field

  Shijun Zou, Xiaolong Zhao, Xijun Yu, Zihuan Dai

  2022-08-11

  301354 3352 Pages:547-582

• A Hodge Decomposition Method for Dynamic Ginzburg–Landau Equations in Nonsmooth Domains — A Second Approach

  Buyang Li, Kai Wang, Zhimin Zhang

  2020-06-05

  49113 3317 Pages:768-802

• An r-Adaptive Finite Element Method for the Solution of the Two-Dimensional Phase-Field Equations

  G. Beckett, J. A. Mackenzie & M. L. Robertson

  2006-01-01

  39437 3922 Pages:805-826

• Particle Based gPC Methods for Mean-Field Models of Swarming with Uncertainty

  José Antonio Carrillo, Lorenzo Pareschi & Mattia Zanella

  2018-10-11

  50416 4971 Pages:508-531 Open-access

• Implementation of the Divergence-Free and Pressure-Oscillation-Free Projection Method for Solving the Incompressible Navier-Stokes Equations on the Collocated Grids

  Y. X. Ren, M. Liu & H. Zhang

  2007-02-01

  39387 4170 Pages:746-759

• A Numerical Methodology for Enforcing Maximum Principles and the Non-Negative Constraint for Transient Diffusion Equations

  K. B. Nakshatrala, H. Nagarajan & M. Shabouei

  2018-04-03

  40388 4661 Pages:53-93

• The Parameter Averaging Technique in Finite-Difference Modeling of Elastic Waves in Combined Structures with Solid, Fluid and Porous Subregions

  Wei Guan & Hengshan Hu

  2011-10-01

  38691 4082 Pages:695-715

• A Numerical Approach for a System of Transport Equations in the Field of Radiotherapy

  Teddy Pichard, Stéphane Brull & Bruno Dubroca

  2018-12-08

  48139 3406 Pages:1097-1126

• A Weighted Runge-Kutta Discontinuous Galerkin Method for 3D Acoustic and Elastic Wave-Field Modeling

  Xijun He, Dinghui Yang, Xiao Ma

  2020-06-05

  49580 4519 Pages:372-400

• Understanding Depletion Induced Like-Charge Attraction from Self-Consistent Field Model

  Pei Liu, Manman Ma, Zhenli Xu

  2019-10-31

  42602 4118 Pages:95-111

• A Comparative Study of Hydrodynamic Lattice Boltzmann Equation in Phase-Field-Based Multiphase Flow Models

  Qiang He, Yiqian Cheng, Fengming Hu, Weifeng Huang, Decai Li

  2024-05-06

  37477 2925 Pages:859-904

• A Robust and Efficient Adaptive Multigrid Solver for the Optimal Control of Phase Field Formulations of Geometric Evolution Laws

  Feng Wei Yang, Chandrasekhar Venkataraman, Vanessa Styles & Anotida Madzvamuse

  2018-04-08

  41583 4571 Pages:65-92

• Phase Field Model of Thermo-Induced Marangoni Effects in the Mixtures and Its Numerical Simulations with Mixed Finite Element Method

  Pengtao Sun, Chun Liu & Jinchao Xu

  2020-07-30

  39428 3868 Pages:1095-1117

• Some Random Batch Particle Methods for the Poisson-Nernst-Planck and Poisson-Boltzmann Equations

  Lei Li, Jian-Guo Liu, Yijia Tang

  2022-07-06

  43668 3690 Pages:41-82

• High-Order Positivity-Preserving Well-Balanced Discontinuous Galerkin Methods for Euler Equations with Gravitation on Unstructured Meshes

  Weijie Zhang, Yulong Xing, Yinhua Xia, Yan Xu

  2022-03-03

  47865 3213 Pages:771-815

• New Energy-Conserved Identities and Super-Convergence of the Symmetric EC-S-FDTD Scheme for Maxwell's Equations in 2D

  Liping Gao & Dong Liang

  2012-11-01

  39228 4210 Pages:1673-1696

• On Universal Osher-Type Schemes for General Nonlinear Hyperbolic Conservation Laws

  Michael Dumbser & Eleuterio F. Toro

  2011-10-01

  39532 4331 Pages:635-671

• Constraint Preserving Schemes Using Potential-Based Fluxes I Multidimensional Transport Equations

  Siddhartha Mishra & Eitan Tadmor

  2011-03-05

  39387 4125 Pages:688-710

• JefiPIC: A 3-D Full Electromagnetic Particle-in-Cell Simulator Based on Jefimenko’s Equations on GPU

  Jian-Nan Chen, Jun-Jie Zhang, Xue-Ming Li, Hai-Liang Qiao, Yong-Tao Zhao

  2024-06-14

  27994 1792 Pages:1387-1417