Search Results

• 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

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

  Siqing Li, Leevan Ling

  2019-04-28

  45994 3119 Pages: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

  34826 2871 Pages:787-812

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

  Jianguo Huang, Haoqin Wang, Tao Zhou

  2022-03-03

  50710 3358 Pages:966-986

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

  Yaning Xie, Shuwang Li, Wenjun Ying

  2023-04-28

  32922 3086 Pages:764-794

• Unfitted Spectral Element Method for Interfacial Models

  Nicolas Gonzalez, Hailong Guo, Xu Yang

  2025-09-05

  3693 376 Pages:987-1016

• Dirichlet-Neumann Learning Algorithm for Solving Elliptic Interface Problems

  Qi Sun, Xuejun Xu, Haotian Yi

  2025-07-11

  5424 679 Pages: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

  51409 3427 Pages: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

  41082 3304 Pages: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

  67426 3706 Pages:1886-1906

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

  Roland Glowinski, Qiaolin He

  2011-03-05

  39146 3942 Pages:587-606

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

  Richard Liska, Mikhail Shashkov

  2008-03-01

  38070 4185 Pages:852-877

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

  Wenjun Ying, Wei-Cheng Wang

  2020-07-31

  41163 3937 Pages: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

  46062 3335 Pages: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

  10780 683 Pages: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

  34218 2755 Pages:456-502

• 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

• 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 Pages: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

  47420 3187 Pages: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

  49388 4694 Pages:124-143

• The Weak Galerkin Method for Elliptic Eigenvalue Problems

  Qilong Zhai, Hehu Xie, Ran Zhang, Zhimin Zhang

  2019-02-25

  48397 5530 Pages:160-191

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

  Zhen Li, Zuoqiang Shi, Jian Sun

  2019-04-04

  46798 3392 Pages:506-530

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

  C. S. Chen, Andreas Karageorghis

  2018-09-01

  45775 5216 Pages:41-67

• A Parallel Second Order Cartesian Method for Elliptic Interface Problems

  Marco Cisternino, Lisl Weynans

  2012-12-01

  42606 4063 Pages:1562-1587

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

  Richard Pasquetti, Francesca Rapetti

  2018-04-11

  226 67 Pages: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

  46455 4876 Pages: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

  41378 4243 Pages:642-662