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• Domain Decomposition Methods for Diffusion Problems with Discontinuous Coefficients Revisited

  Xuyang Na, Xuejun Xu

  2024-01-31

  28585 2619 Pages:212-238

• Extrapolation Cascadic Multigrid Method for Cell-Centered FV Discretization of Diffusion Equations with Strongly Discontinuous and Anisotropic Coefficients

  Kejia Pan, Xiaoxin Wu, Yunlong Yu, Zhiqiang Sheng, Guangwei Yuan

  2022-05-06

  44481 3152 Pages:1561-1584

• A Conservative and Positivity-Preserving Method for Solving Anisotropic Diffusion Equations with Deep Learning

  Hui Xie, Li Liu, Chuanlei Zhai, Xuejun Xu, Heng Yong

  2024-03-13

  26287 2282 Pages:467-497

• 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

• The Multidomain Hybrid Discontinuous Galerkin Method and Finite Difference Method for Solving Compressible Navier-Stokes Equations on Hybrid Meshes

  Weixiong Yuan, Tiegang Liu, Bin Zhang, Mengyu Li, Kun Wang

  2025-09-18

  4378 312 Pages:1417-1452

• Weighted Interior Penalty Method with Semi-Implicit Integration Factor Method for Non-Equilibrium Radiation Diffusion Equation

  Rongpei Zhang, Xijun Yu, Jiang Zhu, Abimael F. D. Loula & Xia Cui

  2013-11-05

  40694 3963 Pages:1287-1303

• Two Nonlinear Positivity-Preserving Finite Volume Schemes for Three-Dimensional Heat Conduction Equations on General Polyhedral Meshes

  Menghuan Liu, Shi Shu, Guangwei Yuan, Xiaoqiang Yue

  2021-08-10

  47597 3210 Pages:1185-1215

• Fourth Order Schemes for Time-Harmonic Wave Equations with Discontinuous Coefficients

  Guy Baruch, Gadi Fibich, Semyon Tsynkov & Eli Turkel

  2018-04-11

  43319 3889 Pages:442-455

• Godunov-Type Numerical Methods for a Model of Granular Flow on Open Tables with Walls

  Adimurthi, Aekta Aggarwal & G. D. Veerappa Gowda

  2018-04-04

  40292 3162 Pages:1071-1105

• A New Interpolation for Auxiliary Unknowns of the Monotone Finite Volume Scheme for 3D Diffusion Equations

  Fei Zhao, Xiang Lai, Guangwei Yuan, Zhiqiang Sheng

  2020-02-23

  47487 3228 Pages:1201-1233

• An Improved Ghost-Point Technique for the Electrostatic Equation with Curved Boundaries and Discontinuous Permittivity in ECR Ion Source PIC Simulations

  Armando Coco, Lorenzo Neri

  2026-01-03

  1672 58 Pages:713-746

• Error Analysis of the Plane Wave Discontinuous Galerkin Method for Maxwell's Equations in Anisotropic Media

  Long Yuan & Qiya Hu

  2019-01-10

  46286 3871 Pages:1496-1522

• Generalized Multiscale Finite Element Methods. Nonlinear Elliptic Equations

  Yalchin Efendiev, Juan Galvis, Guanglian Li & Michael Presho

  2014-03-05

  41455 4165 Pages:733-755

• 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

  10567 630 Pages:603-622

• A Novel Multipoint Stress Control Volume Method for Linear Elasticity on Quadrilateral Grids

  Shubin Fu, Lina Zhao

  2025-07-11

  5108 542 Pages:285-316

• Substructuring Preconditioners with a Simple Coarse Space for 2-D 3-T Radiation Diffusion Equations

  Xiaoqiang Yue, Shi Shu, Junxian Wang & Zhiyang Zhou

  2018-08-21

  46726 3289 Pages:540-560

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

  Cheng Liu & Changhong Hu

  2017-10-02

  43731 3274 Pages:965-996

• The Geometry Behind Numerical Solvers of the Poisson-Boltzmann Equation

  Xinwei Shi & Patrice Koehl

  2008-03-01

  40348 4171 Pages:1032-1050