Search Results

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

  Richard Liska & Mikhail Shashkov

  2008-03-01

  37973 4142 Pages:852-877

• Discrete Maximum Principle for the Weak Galerkin Method for Anisotropic Diffusion Problems

  Weizhang Huang & Yanqiu Wang

  2018-04-03

  42409 4415 Pages:65-90

• A Nonlinear Finite Volume Scheme Preserving Maximum Principle for Diffusion Equations

  Jinjing Xu, Fei Zhao, Zhiqiang Sheng, Guangwei Yuan

  2021-01-13

  45765 3336 Pages:747-766

• Maximum-Principle-Preserving, Steady-State-Preserving and Large Time-Stepping High-Order Schemes for Scalar Hyperbolic Equations with Source Terms

  Lele Liu, Hong Zhang, Xu Qian, Songhe Song

  2024-03-13

  24991 2119 Pages:498-523

• Maximum-Principle-Preserving and Positivity-Preserving Central WENO Schemes on Overlapping Meshes

  Zhanjing Tao, Zhengfu Xu, Jianxian Qiu

  2026-01-18

  207 43 Pages:1164-1198

• Integrated Linear Reconstruction for Finite Volume Scheme on Arbitrary Unstructured Grids

  Li Chen, Guanghui Hu & Ruo Li

  2018-09-17

  48682 3339 Pages:454-480

• A Nonlinear Finite Volume Element Method Satisfying Maximum Principle for Anisotropic Diffusion Problems on Arbitrary Triangular Meshes

  Yanni Gao, Shuai Wang, Guangwei Yuan & Xudeng Hang

  2019-02-25

  45911 5069 Pages:135-159

• The Corrected Finite Volume Element Methods for Diffusion Equations Satisfying Discrete Extremum Principle

  Ang Li, Hongtao Yang, Yonghai Li, Guangwei Yuan

  2023-01-24

  37785 3048 Pages:1437-1473

• A Constrained Finite Element Method Based on Domain Decomposition Satisfying the Discrete Maximum Principle for Diffusion Problems

  Xingding Chen & Guangwei Yuan

  2018-04-03

  39668 3132 Pages:297-320

• High-Order Structure-Preserving Spectral Difference Methods for Hyperbolic Conservation Laws

  Yupeng Ren, Zhimin Zhang

  2026-01-18

  276 80 Pages:1059-1102

• On the Monotonicity of $Q^2$ Spectral Element Method for Laplacian on Quasi-Uniform Rectangular Meshes

  Logan J. Cross, Xiangxiong Zhang

  2024-01-31

  28422 2652 Pages:160-180

• Do Current Lattice Boltzmann Methods for Diffusion and Advection-Diffusion Equations Respect Maximum Principle and the Non-Negative Constraint?

  S. Karimi & K. B. Nakshatrala

  2018-04-04

  39688 3199 Pages:374-404

• On Singular Closures for the 5-Moment System in Kinetic Gas Theory

  Roman Pascal Schaerer & Manuel Torrilhon

  2020-07-30

  40367 2987 Pages:371-400

• Mechanics-Based Solution Verification for Porous Media Models

  M. Shabouei & K. B. Nakshatrala

  2020-07-30

  42166 3415 Pages:1127-1162

• Incorporating the Maximum Entropy on the Mean Framework with Kernel Error for Robust Non-Blind Image Deblurring

  Hok Shing Wong, Hao Zhang, Lihua Li, Tieyong Zeng, Yingying Fang

  2022-03-03

  44661 3287 Pages:893-912

• 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

  89003 4556 Pages:2042-2074

• Photon Dose Calculation Method Based on Monte Carlo Finite-Size Pencil Beam Model in Accurate Radiotherapy

  Huaqing Zheng, Guangyao Sun, Gui Li, Ruifen Cao, Xi Pei, Liqin Hu, Gang Song & Yican Wu

  2013-11-05

  40675 4080 Pages:1415-1422

• Optimal Error Estimates of Compact Finite Difference Discretizations for the Schrödinger-Poisson System

  Yong Zhang

  2013-05-05

  41019 4134 Pages:1357-1388

• A High Order Bound Preserving Finite Difference Linear Scheme for Incompressible Flows

  Guoliang Zhang, Tao Xiong

  2022-07-06

  42783 3656 Pages:126-155