Search Results

• An Interface-Unfitted Conforming Enriched Finite Element Method for Stokes-Elliptic Interface Problems with Jump Coefficients

  Hua Wang, Jinru Chen, Pengtao Sun, Rihui Lan

  2020-02-23

  51412 3427 Pages:1174-1200

• A Fourth-Order Kernel-Free Boundary Integral Method for Interface Problems

  Yaning Xie, Shuwang Li, Wenjun Ying

  2023-04-28

  32924 3086 Pages:764-794

• Adaptive Interface-PINNs (AdaI-PINNs): An Efficient Physics-Informed Neural Networks Framework for Interface Problems

  Sumanta Roy, Chandrasekhar Annavarapu, Pratanu Roy, Antareep Kumar Sarma

  2025-09-02

  10784 686 Pages:603-622

• Accurate Adaptive Deep Learning Method for Solving Elliptic Problems

  Jinyong Ying, Yaqi Xie, Jiao Li, Hongqiao Wang

  2025-09-02

  10362 591 Pages:849-876

• Dirichlet-Neumann Learning Algorithm for Solving Elliptic Interface Problems

  Qi Sun, Xuejun Xu, Haotian Yi

  2025-07-11

  5425 679 Pages:248-284

• Convergence of Physics-Informed Neural Networks Applied to Linear Second-Order Elliptic Interface Problems

  Sidi Wu, Aiqing Zhu, Yifa Tang, Benzhuo Lu

  2023-03-13

  41082 3304 Pages:596-627

• Immersed Finite Element Method for Interface Problems with Algebraic Multigrid Solver

  Wenqiang Feng, Xiaoming He, Yanping Lin, Xu Zhang

  2020-07-31

  42389 4176 Pages:1045-1067

• A Fast Cartesian Grid-Based Integral Equation Method for Unbounded Interface Problems with Non-Homogeneous Source Terms

  Jiahe Yang, Wenjun Ying

  2023-08-14

  33969 3548 Pages:208-234

• A Kernel-Free Boundary Integral Method for Variable Coefficients Elliptic PDEs

  Wenjun Ying, Wei-Cheng Wang

  2020-07-31

  41163 3938 Pages:1108-1140

• Unfitted Spectral Element Method for Interfacial Models

  Nicolas Gonzalez, Hailong Guo, Xu Yang

  2025-09-05

  3693 376 Pages:987-1016

• Performance Enhancement for High-Order Gas-Kinetic Scheme Based on WENO-Adaptive-Order Reconstruction

  Xing Ji, Kun Xu

  2020-06-05

  50097 3413 Pages:539-590

• A Second Order Ghost Fluid Method for an Interface Problem of the Poisson Equation

  Cheng Liu, Changhong Hu

  2017-10-02

  43818 3311 Pages:965-996

• Ghost-Fluid-Based Sharp Interface Methods for Multi-Material Dynamics: A Review

  Liang Xu, Tiegang Liu

  2023-10-07

  36265 3015 Pages:563-612

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

  Wenjun Ying

  2020-07-31

  44187 3255 Pages:1196-1220

• An Efficient Neural-Network and Finite-Difference Hybrid Method for Elliptic Interface Problems with Applications

  Wei-Fan Hu, Te-Sheng Lin, Yu-Hau Tseng, Ming-Chih Lai

  2023-05-12

  36494 2927 Pages:1090-1105

• Development of a Less Dissipative Interface Variable Reconstruction to Solve the Euler Equations by Q Learning Method

  Shing-Ian Huang, Sheng Chang Wu, Tsung-Yu Yang, Chi-Heng Ting, Yi-Jhen Wu, Yang-Yao Niu

  2024-07-29

  24137 1797 Pages:160-199

• A Hermite WENO Method with Modified Ghost Fluid Method for Compressible Two-Medium Flow Problems

  Zhuang Zhao, Yong-Tao Zhang, Yibing Chen, Jianxian Qiu

  2021-07-01

  49146 3227 Pages:851-873

• Heterogeneous Multiscale Methods: A Review

  Weinan E, Bjorn Engquist, Xiantao Li, Weiqing Ren, Eric Vanden-Eijnden

  2007-02-01

  47706 5513 Pages:367-450 Open-access

• A Bilinear Immersed Finite Volume Element Method for the Diffusion Equation with Discontinuous Coefficient

  X. -M. He, T. Lin, Y. Lin

  2009-06-01

  39087 4335 Pages:185-202

• An Approximate Riemann Solver for Fluid-Solid Interaction Problems with Mie-Grüneisen Equations of State

  Li Chen, Ruo Li, Chengbao Yao

  2020-07-30

  45502 4112 Pages:861-896

• Operator Splitting and Local Time-Stepping Methods for Transport Problems in Fractured Porous Media

  Phuoc-Toan Huynh, Yanzhao Cao, Thi-Thao-Phuong Hoang

  2023-12-11

  34704 2699 Pages:1215-1246

• Deep Unfitted Nitsche Method for Elliptic Interface Problems

  Hailong Guo, Xu Yang

  2022-03-30

  52740 3338 Pages:1162-1179

• 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 4694 Pages:124-143

• A Parallel Second Order Cartesian Method for Elliptic Interface Problems

  Marco Cisternino, Lisl Weynans

  2012-12-01

  42606 4063 Pages:1562-1587

• Numerical Simulation of Free Surface by an Area-Preserving Level Set Method

  Tony W. H. Sheu, C. H. Yu

  2020-07-31

  39328 4076 Pages:1347-1371

• Development of a Volume of Fluid Method for Computing Interfacial Incompressible Fluid Flows

  Zhenghua Gu, Yuan Yao, Ching-Hao Yu, Ruidong An

  2020-02-23

  49359 3481 Pages:1076-1114

• An Extremum-Preserving Iterative Procedure for the Imperfect Interface Problem

  Dongxu Jia, Zhiqiang Sheng, Guangwei Yuan

  2018-11-09

  46655 3436 Pages:853-870