Search Results

• Efficient Energy-Stable Parametric Finite Element Methods for Surface Diffusion Flow and Applications in Solid-State Dewetting

  Meng Li, Yihang Guo, Jingjiang Bi

  2025-08-23

  6319 430 Pages:729-765

• Artificial Boundary Conditions for Nonlocal Heat Equations on Unbounded Domain

  Wei Zhang, Jiang Yang, Jiwei Zhang & Qiang Du

  2018-04-08

  42189 4855 Pages:16-39 Open-access

• The First- and Second-Order Energy Stable, Mass Conservative and Bounds-Preserving Schemes for Two-Phase Incompressible Flow with Rock Compressibility

  Yujing Yan, Huangxin Chen, Xiaoli Li

  2026-01-18

  263 83 Pages:1332-1362

• Simulation of Earthquake Rupture Dynamics in Complex Geometries Using Coupled Finite Difference and Finite Volume Methods

  Ossian O'Reilly, Jan Nordström, Jeremy E. Kozdon, Eric M. Dunham

  2020-07-30

  40424 3071 Pages:337-370

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

  Hojun You, Juhyun Kim, Chongam Kim

  2023-05-12

  36140 2956 Pages:992-1034

• Continuous Finite Element Subgrid Basis Functions for Discontinuous Galerkin Schemes on Unstructured Polygonal Voronoi Meshes

  Walter Boscheri, Michael Dumbser, Elena Gaburro

  2022-07-06

  42259 3711 Pages:259-298

• High Order Arbitrary Lagrangian-Eulerian Finite Difference WENO Scheme for Hamilton-Jacobi Equations

  Yue Li, Juan Cheng, Yinhua Xia, Chi-Wang Shu

  2019-08-27

  47237 3332 Pages:1530-1574

• High Order Finite Difference Scheme based on DG Boundary Treatment (FDbDG)

  Kun Wang, Jian Cheng & Tiegang Liu

  2019-01-10

  47404 3915 Pages:1413-1445

• High-Order Hybrid WCNS-CPR Schemes on Hybrid Meshes with Curved Edges for Conservation Laws I: Spatial Accuracy and Geometric Conservation Laws

  Huajun Zhu, Zhenguo Yan, Huayong Liu, Meiliang Mao & Xiaogang Deng

  2018-08-21

  47966 3524 Pages:1355-1392

• Multilevel Markov Chain Monte Carlo Method for High-Contrast Single-Phase Flow Problems

  Yalchin Efendiev, Bangti Jin, Michael Presho & Xiaosi Tan

  2018-04-02

  42810 4695 Pages:259-286

• Multiple-Body Collision Algorithms for Computational Simulation of High-Speed Air-Delivered Systems

  Robert E. Harris, Peter A. Liever, Edward A. Luke & Jonathan G. Dudley

  2020-07-30

  40637 3105 Pages:564-593

• An Enriched Multiscale Mortar Space for High Contrast Flow Problems

  Yanfang Yang, Eric T. Chung & Shubin Fu

  2018-08-21

  46455 3144 Pages:476-499

• A Novel Multi-Dimensional Limiter for High-Order Finite Volume Methods on Unstructured Grids

  Yilang Liu, Weiwei Zhang & Chunna Li

  2017-11-02

  42912 3655 Pages:1385-1412

• Application of High Dimensional B-Spline Interpolation in Solving the Gyro-Kinetic Vlasov Equation Based on Semi-Lagrangian Method

  Xiaotao Xiao, Lei Ye, Yingfeng Xu & Shaojie Wang

  2017-09-02

  41217 3267 Pages:789-802

• A Space-Time Conservative Method for Hyperbolic Systems with Stiff and Non-Stiff Source Terms

  S. Qamar & G. Warnecke

  2006-01-01

  113 55 Pages:449-478

• A Space-Time Conservative Method for Hyperbolic Systems with Stiff and Non-Stiff Source Terms

  S. Qamar & G. Warnecke

  2006-01-01

  38426 3996 Pages:449-478

• Multiphysics Modeling of Liver Tumor Ablation by High Intensity Focused Ultrasound

  Maxim Solovchuk, Tony Wen-Hann Sheu & Marc Thiriet

  2020-07-31

  38319 3013 Pages:1050-1071

• An Adaptive ANOVA-Based Data-Driven Stochastic Method for Elliptic PDEs with Random Coefficient

  Zhiwen Zhang, Xin Hu, Thomas Y. Hou, Guang Lin & Mike Yan

  2014-12-08

  39606 3927 Pages:571-598

• High-Order Structure-Preserving Spectral Difference Methods for Hyperbolic Conservation Laws

  Yupeng Ren, Zhimin Zhang

  2026-01-18

  276 80 Pages:1059-1102

• Electromagnetic High Frequency Gyrokinetic Particle-in-Cell Simulation

  R. A. Kolesnikov, W. W. Lee & H. Qin

  2008-09-05

  39246 4086 Pages:575-591

• On the Order of Accuracy and Numerical Performance of Two Classes of Finite Volume WENO Schemes

  Rui Zhang, Mengping Zhang & Chi-Wang Shu

  2011-03-05

  39890 4279 Pages:807-827

• Aerodynamic Performance and Data-Driven Optimization of Flow Past an Inclined Rounded Square Cylinder

  Wentian Song, Jingrun Chen, Wan Cheng, Zhouwang Yang, Xisheng Luo

  2025-08-08

  4530 442 Pages:491-520

• Relaxation Exponential Runge-Kutta Methods and Their Applications to Semilinear Dissipative/Conservative Systems

  Dongfang Li, Xiaoxi Li, Jiang Yang

  2024-10-29

  22868 1342 Pages:908-942

• An Arbitrary Lagrangian-Eulerian Discontinuous Galerkin Scheme for Compressible Multi-Material Flows on Adaptive Quadrilateral Meshes

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

  2024-01-31

  28786 2534 Pages:107-138

• An Efficient Nonlinear Multigrid Solver for the Simulation of Rarefied Gas Cavity Flow

  Zhicheng Hu, Guanghan Li

  2023-09-04

  32942 2737 Pages:357-391

• Heterogeneous LBM Simulation Code with LRnLA Algorithms

  Vadim Levchenko, Anastasia Perepelkina

  2023-02-20

  43783 3869 Pages:214-244

• On Energy Stable Runge-Kutta Methods for the Water Wave Equation and Its Simplified Non-Local Hyperbolic Model

  Lei Li, Jian-Guo Liu, Zibu Liu, Yi Yang, Zhennan Zhou

  2022-07-06

  42935 3698 Pages:222-258