Search Results

• 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

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

  Weizhang Huang, Yanqiu Wang

  2018-04-03

  42501 4473 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

  45865 3382 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

  25108 2157 Pages:498-523

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

  Zhanjing Tao, Zhengfu Xu, Jianxian Qiu

  2026-01-18

  719 111 Pages:1164-1198

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

  Li Chen, Guanghui Hu, Ruo Li

  2018-09-17

  48767 3362 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

  45997 5141 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

  37882 3082 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

  39741 3166 Pages:297-320

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

  Yupeng Ren, Zhimin Zhang

  2026-01-18

  803 176 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

  28522 2745 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

  39789 3237 Pages:374-404

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

  Roman Pascal Schaerer, Manuel Torrilhon

  2020-07-30

  40445 3021 Pages:371-400

• Mechanics-Based Solution Verification for Porous Media Models

  M. Shabouei, K. B. Nakshatrala

  2020-07-30

  42254 3444 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

  44769 3318 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

  89495 4608 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

  40767 4119 Pages:1415-1422

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

  Yong Zhang

  2013-05-05

  41128 4165 Pages:1357-1388

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

  Guoliang Zhang, Tao Xiong

  2022-07-06

  42886 3713 Pages:126-155