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

  51211 3365 Pages:1174-1200

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

  Yaning Xie, Shuwang Li, Wenjun Ying

  2023-04-28

  32699 3018 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

  431 93 Pages:603-622

• Accurate Adaptive Deep Learning Method for Solving Elliptic Problems

  Jinyong Ying, Yaqi Xie, Jiao Li, Hongqiao Wang

  2025-09-02

  367 59 Pages:849-876

• Dirichlet-Neumann Learning Algorithm for Solving Elliptic Interface Problems

  Qi Sun, Xuejun Xu, Haotian Yi

  2025-07-11

  5086 463 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

  40769 3224 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

  42199 4118 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

  33748 3368 Pages:208-234

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

  Wenjun Ying & Wei-Cheng Wang

  2020-07-31

  40996 3866 Pages:1108-1140

• Unfitted Spectral Element Method for Interfacial Models

  Nicolas Gonzalez, Hailong Guo, Xu Yang

  2025-09-05

  3409 295 Pages:987-1016

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

  Xing Ji, Kun Xu

  2020-06-05

  49937 3352 Pages:539-590

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

  Cheng Liu & Changhong Hu

  2017-10-02

  43621 3243 Pages:965-996

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

  Liang Xu, Tiegang Liu

  2023-10-07

  35914 2906 Pages:563-612

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

  Wenjun Ying

  2020-07-31

  43976 3204 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

  36233 2866 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

  173 120 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

  48944 3187 Pages:851-873

• Heterogeneous Multiscale Methods: A Review

  W. E, B. Engquist, X. Li, W. Ren & E. Vanden-Eijnden

  2007-02-01

  47453 5354 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

  38945 4233 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

  45321 4042 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

  34456 2638 Pages:1215-1246

• Deep Unfitted Nitsche Method for Elliptic Interface Problems

  Hailong Guo, Xu Yang

  2022-03-30

  52499 3243 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

  49148 4497 Pages:124-143

• A Parallel Second Order Cartesian Method for Elliptic Interface Problems

  Marco Cisternino & Lisl Weynans

  2012-12-01

  42458 4018 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

  39188 4015 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

  49166 3341 Pages:1076-1114

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

  Dongxu Jia, Zhiqiang Sheng & Guangwei Yuan

  2018-11-09

  46478 3365 Pages:853-870