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• An Arbitrary Order Mixed Finite Element Method with Boundary Value Correction for the Darcy Flow on Curved Domains

  Yongli Hou, Yanqiu Wang

  2025-05-29

  187 58 Pages:1227-1249

• Virtual Body-Fitted Grid-Based Immersed Boundary Velocity Correction Method for Simulation of Incompressible Flows with Moving Boundaries

  Yinjie Du, Liming Yang, Yang Xiao, Yuxin Song, Chang Shu

  2025-09-02

  375 83 Pages:643-674

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

  Weiyi Wang, Zhijun Tan

  2021-04-30

  49066 4953679 Pages:227-254

• On the Gauss Runge-Kutta and Method of Lines Transpose for Initial-Boundary Value Parabolic PDEs

  Bo Zhang, Dangxing Chen & Jingfang Huang

  2020-07-31

  42641 3230 Pages:1221-1240

• A Least-Squares/Fictitious Domain Method for Linear Elliptic Problems with Robin Boundary Conditions

  Roland Glowinski & Qiaolin He

  2011-03-05

  38996 3903 Pages:587-606

• A Multigrid Method for Ground State Solution of Bose-Einstein Condensates

  Hehu Xie & Manting Xie

  2018-04-03

  40448 3230 Pages:648-662

• A GPU-Accelerated Cartesian Grid Method for PDEs on Irregular Domain

  Liwei Tan, Minsheng Huang, Shuai Zhu, Pan Wang, Wenjun Ying

  2025-05-29

  8789 493 Pages:1250-1276

• A Robust Immersed Boundary-Lattice Boltzmann Method for Simulation of Fluid-Structure Interaction Problems

  Jie Wu, Jing Wu, Jiapu Zhan, Ning Zhao & Tongguang Wang

  2018-04-04

  41948 4633 Pages:156-178

• A Weak Galerkin Mixed Finite Element Method for Second Order Elliptic Equations on 2D Curved Domains

  Yi Liu, Wenbin Chen, Yanqiu Wang

  2022-10-28

  46295 3261 Pages:1094-1128

• 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

• An Implementation of MAC Grid-Based IIM-Stokes Solver for Incompressible Two-Phase Flows

  Zhijun Tan, K. M. Lim & B. C. Khoo

  2011-10-01

  39535 4404 Pages:1333-1362

• The Immersed Boundary Method: Application to Two-Phase Immiscible Flows

  Avihai Spizzichino, Sharone Goldring & Yuri Feldman

  2018-09-01

  46045 5114 Pages:107-134