Search Results

• Accurate Adaptive Deep Learning Method for Solving Elliptic Problems

  Jinyong Ying, Yaqi Xie, Jiao Li, Hongqiao Wang

  2025-09-02

  DOI:10.4208/cicp.OA-2024-0113

  10362 591 pp. 849-876

• Collocation Methods for Cauchy Problems of Elliptic Operators via Conditional Stabilities

  Siqing Li, Leevan Ling

  2019-04-28

  DOI:10.4208/cicp.OA-2018-0182

  45995 3119 pp. 785-808

• A Normalizing Field Flow Induced Two-Stage Stochastic Homogenization Method for Random Composite Materials

  Zihao Yang, Xintong Wang, Xiaofei Guan, Jizu Huang, Xixin Wu

  2023-10-07

  DOI:10.4208/cicp.OA-2023-0007

  34829 2871 pp. 787-812

• An Augmented Lagrangian Deep Learning Method for Variational Problems with Essential Boundary Conditions

  Jianguo Huang, Haoqin Wang, Tao Zhou

  2022-03-03

  DOI:10.4208/cicp.OA-2021-0176

  50710 3358 pp. 966-986

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

  Yaning Xie, Shuwang Li, Wenjun Ying

  2023-04-28

  DOI:10.4208/cicp.OA-2022-0236

  32924 3086 pp. 764-794

• Unfitted Spectral Element Method for Interfacial Models

  Nicolas Gonzalez, Hailong Guo, Xu Yang

  2025-09-05

  DOI:10.4208/cicp.OA-2024-0056

  3693 376 pp. 987-1016

• Dirichlet-Neumann Learning Algorithm for Solving Elliptic Interface Problems

  Qi Sun, Xuejun Xu, Haotian Yi

  2025-07-11

  DOI:10.4208/cicp.OA-2024-0046

  5425 679 pp. 248-284

• 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

  DOI:10.4208/cicp.OA-2019-0021

  51412 3427 pp. 1174-1200

• 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

  DOI:10.4208/cicp.OA-2022-0218

  41082 3304 pp. 596-627

• A Multi-Scale DNN Algorithm for Nonlinear Elliptic Equations with Multiple Scales

  Xi-An Li, Zhi-Qin John Xu, Lei Zhang

  2020-11-18

  DOI:10.4208/cicp.OA-2020-0187

  67430 3706 pp. 1886-1906

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

  Roland Glowinski, Qiaolin He

  2011-03-05

  DOI:10.4208/cicp.071009.160310s

  39147 3942 pp. 587-606

• Enforcing the Discrete Maximum Principle for Linear Finite Element Solutions of Second-Order Elliptic Problems

  Richard Liska, Mikhail Shashkov

  2008-03-01

  38071 4185 pp. 852-877

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

  Wenjun Ying, Wei-Cheng Wang

  2020-07-31

  DOI:10.4208/cicp.170313.071113s

  41163 3938 pp. 1108-1140

• Optimal Convergence Analysis of a Mixed Finite Element Method for Fourth-Order Elliptic Problems

  Yue Yan, Weijia Li, Wenbin Chen, Yanqiu Wang

  2018-09-17

  DOI:10.4208/cicp.OA-2017-0168

  46065 3336 pp. 510-530

• 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

  DOI:10.4208/cicp.OA-2024-0131

  10784 686 pp. 603-622

• Monotonic Diamond and DDFV Type Finite-Volume Schemes for 2D Elliptic Problems

  Xavier Blanc, Francois Hermeline, Emmanuel Labourasse, Julie Patela

  2023-09-04

  DOI:10.4208/cicp.OA-2023-0081

  34219 2755 pp. 456-502

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

  Cheng Liu, Changhong Hu

  2017-10-02

  DOI:10.4208/cicp.OA-2016-0155

  43818 3311 pp. 965-996

• Error Control in Multi-Element Generalized Polynomial Chaos Method for Elliptic Problems with Random Coefficients

  Xiaoliang Wan, George Em Karniadakis

  2018-04-11

  41376 3605 pp. 793-820

• Super-Closeness Between the Ritz Projection and the Finite Element Solution for Some Elliptic Problems

  Ruosi Liang, Yue Yan, Wenbin Chen, Yanqiu Wang

  2020-06-05

  DOI:10.4208/cicp.OA-2019-0154

  47420 3187 pp. 803-826

• 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

  DOI:10.4208/cicp.OA-2020-0084

  49388 4694 pp. 124-143

• The Weak Galerkin Method for Elliptic Eigenvalue Problems

  Qilong Zhai, Hehu Xie, Ran Zhang, Zhimin Zhang

  2019-02-25

  DOI:10.4208/cicp.OA-2018-0201

  48399 5531 pp. 160-191

• Point Integral Method for Elliptic Equations with Variable Coefficients on Point Cloud

  Zhen Li, Zuoqiang Shi, Jian Sun

  2019-04-04

  DOI:10.4208/cicp.OA-2018-0024

  46798 3392 pp. 506-530

• Local RBF Algorithms for Elliptic Boundary Value Problems in Annular Domains

  C. S. Chen, Andreas Karageorghis

  2018-09-01

  DOI:10.4208/cicp.OA-2018-0031

  45776 5217 pp. 41-67

• A Parallel Second Order Cartesian Method for Elliptic Interface Problems

  Marco Cisternino, Lisl Weynans

  2012-12-01

  DOI:10.4208/cicp.160311.090112a

  42606 4063 pp. 1562-1587

• p-Multigrid Method for Fekete-Gauss Spectral Element Approximations of Elliptic Problems

  Richard Pasquetti, Francesca Rapetti

  2018-04-11

  226 67 pp. 667-682

• Existence and Uniqueness of the Weak Solution of the Space-Time Fractional Diffusion Equation and a Spectral Method Approximation

  Xianjuan Li, Chuanju Xu

  2010-08-01

  DOI:10.4208/cicp.020709.221209a

  46457 4876 pp. 1016-1051

• The Monotone Robin-Robin Domain Decomposition Methods for the Elliptic Problems with Stefan-Boltzmann Conditions

  Wenbin Chen, Jin Cheng, Masahiro Yamamoto, Weili Zhang

  2010-08-01

  DOI:10.4208/cicp.150609.031209a

  41378 4244 pp. 642-662