Search Results

• 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

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

  Siqing Li & Leevan Ling

  2019-04-28

  45793 3059 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

  34591 2753 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

  50442 3265 Pages:966-986

• 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

• 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

• Unfitted Spectral Element Method for Interfacial Models

  Nicolas Gonzalez, Hailong Guo, Xu Yang

  2025-09-05

  3409 295 Pages:987-1016

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

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

  2020-11-18

  67104 3635 Pages:1886-1906

• 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

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

  Richard Liska & Mikhail Shashkov

  2008-03-01

  37890 4103 Pages:852-877

• 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

  45851 3282 Pages:510-530

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

  Wenjun Ying & Wei-Cheng Wang

  2020-07-31

  40996 3866 Pages:1108-1140

• 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

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

  Xavier Blanc, Francois Hermeline, Emmanuel Labourasse, Julie Patela

  2023-09-04

  33922 2672 Pages:456-502

• 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

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

  Xiaoliang Wan & George Em Karniadakis

  2018-04-11

  41208 3549 Pages:793-820

• 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

• 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

  47240 3111 Pages:803-826

• The Weak Galerkin Method for Elliptic Eigenvalue Problems

  Qilong Zhai, Hehu Xie, Ran Zhang & Zhimin Zhang

  2019-02-25

  48157 5348 Pages:160-191

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

  Zhen Li, Zuoqiang Shi & Jian Sun

  2019-04-04

  46615 3334 Pages:506-530

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

  C. S. Chen & Andreas Karageorghis

  2018-09-01

  45553 5029 Pages:41-67

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

  Richard Pasquetti & Francesca Rapetti

  2018-04-11

  66 21 Pages:667-682

• A Parallel Second Order Cartesian Method for Elliptic Interface Problems

  Marco Cisternino & Lisl Weynans

  2012-12-01

  42458 4018 Pages:1562-1587

• 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

  46170 4782 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

  41192 4175 Pages:642-662