Search Results

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

  Yaning Xie, Shuwang Li, Wenjun Ying

  2023-04-28

  32917 3085 Pages:764-794

• 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

  47414 3184 Pages:803-826

• 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

  41076 3301 Pages:596-627

• 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

  46053 3330 Pages:510-530

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

  Richard Liska, Mikhail Shashkov

  2008-03-01

  38067 4185 Pages:852-877

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

  Cheng Liu, Changhong Hu

  2017-10-02

  43817 3310 Pages:965-996

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

  Wenjun Ying

  2020-07-31

  44186 3255 Pages:1196-1220

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

  Xiaoliang Wan, George Em Karniadakis

  2018-04-11

  41373 3603 Pages:793-820

• A Weak Galerkin Mixed Finite Element Method for Second Order Elliptic Equations on 2D Curved Domains

  Yi Liu, Wenbin Chen, Yanqiu Wang

  2022-10-28

  46559 3355 Pages:1094-1128

• The Weak Galerkin Method for Elliptic Eigenvalue Problems

  Qilong Zhai, Hehu Xie, Ran Zhang, Zhimin Zhang

  2019-02-25

  48393 5524 Pages:160-191

• An Accurate and Scalable Direction-Splitting Solver for Flows Laden with Non-Spherical Rigid Bodies – Part 1: Fixed Rigid Bodies

  Aashish Goyal, Anthony Wachs

  2023-11-08

  31771 2638 Pages:1079-1132

• A Parallel Second Order Cartesian Method for Elliptic Interface Problems

  Marco Cisternino, Lisl Weynans

  2012-12-01

  42603 4060 Pages:1562-1587

• On the Convergence of Physics Informed Neural Networks for Linear Second-Order Elliptic and Parabolic Type PDEs

  Yeonjong Shin, Jérôme Darbon, George Em Karniadakis

  2020-11-18

  89495 4608 Pages:2042-2074

• 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

  46448 4872 Pages:1016-1051

• A Posteriori Error Estimates for the Weak Galerkin Finite Element Methods on Polytopal Meshes

  Hengguang Li, Lin Mu, Xiu Ye

  2019-04-04

  46983 3379 Pages:558-578

• A Stable Arbitrarily High Order Time-Stepping Method for Thermal Phase Change Problems

  Weiwen Wang, Chuanju Xu

  2023-03-13

  40516 3353 Pages:477-510