Search Results

• A Locally Mass-Conservative Enriched Petrov-Galerkin Method Without Penalty for the Darcy Flow in Porous Media

  Huangxin Chen, Piaopiao Dong, Shuyu Sun, Zixuan Wang

  2026-01-18

  746 111 Pages:1199-1230

• An Adaptive Cartesian Method for Prediction of the Unsteady Process of Aircraft Ice Accretion

  Chengxiang Zhu, Huanyu Zhao, Ning Zhao, Chunling Zhu, Yu Liu

  2021-05-25

  49092 3169 Pages:515-535

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

  Hojun You, Juhyun Kim, Chongam Kim

  2023-05-12

  36255 2996 Pages:992-1034

• A Highly Scalable Boundary Integral Equation and Walk-on-Spheres (BIE-WOS) Method for the Laplace Equation with Dirichlet Data

  Changhao Yan, Wei Cai, Xuan Zeng

  2021-03-24

  44968 3237 Pages:1446-1468

• The Multidomain Hybrid Discontinuous Galerkin Method and Finite Difference Method for Solving Compressible Navier-Stokes Equations on Hybrid Meshes

  Weixiong Yuan, Tiegang Liu, Bin Zhang, Mengyu Li, Kun Wang

  2025-09-18

  4608 357 Pages:1417-1452

• A Cartesian Grid-Based Boundary Integral Method for an Elliptic Interface Problem on Closely Packed Cells

  Wenjun Ying

  2020-07-31

  44186 3255 Pages:1196-1220

• Interior Penalty Discontinuous Galerkin Based Isogeometric Analysis for Allen-Cahn Equations on Surfaces

  Qin Li, Pengxin Liu, Hanxin Zhang

  2020-07-30

  39775 3260 Pages:1380-1416

• A Strong Stability-Preserving Predictor-Corrector Method for the Simulation of Elastic Wave Propagation in Anisotropic Media

  D. H. Yang, N. Wang, E. Liu

  2012-12-01

  40550 4326 Pages:1006-1032

• A Multigrid Method for a Model of the Implicit Immersed Boundary Equations

  Robert D. Guy, Bobby Philip

  2020-07-31

  39137 4095 Pages:378-400

• Numerical Simulations for the Quasi-3D Fluid Streamer Propagation Model: Methods and Applications

  Chijie Zhuang, Mengmin Huang, Rong Zeng

  2020-07-31

  43381 3317 Pages:1259-1278

• A GPU-Accelerated Cartesian Grid Method for the Heat, Wave and Schrödinger Equations on Irregular Domains

  Liwei Tan, Minsheng Huang, Wenjun Ying

  2024-09-06

  20224 1588 Pages:485-520

• Development of Cartesian Grid Method and Local Grid Refinement for Discrete Velocity Method

  Zijian Liu, Songze Chen, Shiyi Chen

  2025-08-08

  4679 508 Pages:375-403

• A Weighted Runge-Kutta Method with Weak Numerical Dispersion for Solving Wave Equations

  Shan Chen, Dinghui Yang, Xiaoying Deng

  2010-07-01

  39088 4436 Pages:1027-1048

• A Discontinuous Galerkin Extension of the Vertex-Centered Edge-Based Finite Volume Method

  Martin Berggren, Sven-Erik Ekstrom, Jan Nordstrom

  2018-04-11

  41954 3617 Pages:456-468

• A Simple 3D Immersed Interface Method for Stokes Flow with Singular Forces on Staggered Grids

  Weiyi Wang, Zhijun Tan

  2021-04-30

  49254 4953848 Pages:227-254

• An Augmented Lagrangian Uzawa Iterative Method for Solving Double Saddle-Point Systems with Semidefinite (2,2) Block and Its Application to DLM/FD Method for Elliptic Interface Problems

  Cheng Wang, Pengtao Sun

  2021-04-30

  49388 4692 Pages:124-143

• A Weak Galerkin Finite Element Method Coupled with Mortar Spectral Element Method for Schrödinger Eigenvalue Problem with an Inverse Square Potential

  Shusheng Li, Lueling Jia, Qilong Zhai, Zhimin Zhang

  2026-04-10

  136 44 Pages:263-296

• A Reconstructed Discontinuous Galerkin Method for the Euler Equations on Arbitrary Grids

  Hong Luo, Luqing Luo, Robert Nourgaliev

  2012-12-01

  42217 287943 Pages:1495-1519

• Bi-Orthogonal fPINN: A Physics-Informed Neural Network Method for Solving Time-Dependent Stochastic Fractional PDEs

  Lei Ma, Rongxin Li, Fanhai Zeng, Ling Guo, George Em Karniadakis

  2023-11-08

  32035 2863 Pages:1133-1176

• A Sparse Grid Discrete Ordinate Discontinuous Galerkin Method for the Radiative Transfer Equation

  Jianguo Huang, Yue Yu

  2021-08-10

  47081 3115 Pages:1009-1036

• Blended Ghost Force Correction Method for 3D Crystalline Defects

  Lidong Fang, Lei Zhang

  2021-02-25

  45142 3219 Pages:1246-1272

• A Hybrid FETD-FDTD Method with Nonconforming Meshes

  Bao Zhu, Jiefu Chen, Wanxie Zhong, Qing Huo Liu

  2011-03-05

  39196 4124 Pages:828-842

• A Continuous Finite Element Method with Homotopy Vanishing Viscosity for Solving the Static Eikonal Equation

  Yong Yang, Wenrui Hao, Yong-Tao Zhang

  2022-05-06

  45678 3290 Pages:1402-1433

• On Integral Equation and Least Squares Methods for Scattering by Diffraction Gratings

  Tilo Arens, Simon N. Chandler-Wilde, John A. DeSanto

  2020-07-31

  38928 3882 Pages:1010-1042

• 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

  39708 3969 Pages:571-598

• Multiple-Temperature Gas-Kinetic Scheme for Type IV Shock/Shock Interaction

  Hualin Liu, Guiyu Cao, Weifang Chen

  2021-01-13

  47537 3383 Pages:853-904

• A Diagonal Sweeping Domain Decomposition Method with Source Transfer for the Helmholtz Equation

  Wei Leng, Lili Ju

  2020-12-02

  47851 3359 Pages:357-398