Search Results

• Monotone Finite Difference Schemes for Anisotropic Diffusion Problems via Nonnegative Directional Splittings

  Cuong Ngo, Weizhang Huang

  2018-04-03

  DOI:10.4208/cicp.280315.140815a

  41366 3321 pp. 473-495

• 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

  DOI:10.4208/cicp.OA-2017-0261

  46001 5145 pp. 135-159

• Truncation Errors, Exact and Heuristic Stability Analysis of Two-Relaxation-Times Lattice Boltzmann Schemes for Anisotropic Advection-Diffusion Equation

  Irina Ginzburg

  2012-11-01

  DOI:10.4208/cicp.211210.280611a

  39356 4425 pp. 1439-1502

• 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

  DOI:10.4208/cicp.OA-2021-0185

  44588 3183 pp. 1561-1584

• Derivation of Asymptotic Limiting Equations for Multigroup Anisotropic-Scattering Transport Processes in Optically Thick Regimes

  Weiming Li, Chang Liu, Peng Song

  2026-01-03

  DOI:10.4208/cicp.OA-2024-0181

  1926 98 pp. 919-940

• 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

  DOI:10.4208/cicp.OA-2023-0180

  26439 2329 pp. 467-497

• Stabilized Predictor-Corrector Schemes for Gradient Flows with Strong Anisotropic Free Energy

  Jie Shen, Jie Xu

  2018-09-17

  DOI:10.4208/cicp.OA-2017-0209

  48242 4846 pp. 635-654 Open Access

• An Interpolation-Free Cell-Centered Finite Volume Scheme for 3D Anisotropic Convection-Diffusion Equations on Arbitrary Polyhedral Meshes

  Shuai Miao, Jiming Wu, Yanzhong Yao

  2023-12-11

  DOI:10.4208/cicp.OA-2023-0136

  33400 2675 pp. 1277-1305

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

  Xavier Blanc, Francois Hermeline, Emmanuel Labourasse, Julie Patela

  2023-09-04

  DOI:10.4208/cicp.OA-2023-0081

  34219 2755 pp. 456-502

• 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

  DOI:10.4208/cicp.181015.270416a

  39793 3241 pp. 374-404

• A Numerical Methodology for Enforcing Maximum Principles and the Non-Negative Constraint for Transient Diffusion Equations

  K. B. Nakshatrala, H. Nagarajan, M. Shabouei

  2018-04-03

  DOI:10.4208/cicp.180615.280815a

  40479 4767 pp. 53-93

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

  Weizhang Huang, Yanqiu Wang

  2018-04-03

  DOI:10.4208/cicp.180914.121214a

  42507 4476 pp. 65-90

• A Uniformly Convergent Scheme for Radiative Transfer Equation in the Diffusion Limit Up to the Boundary and Interface Layers

  Hongfei Chen, Gaoyu Chen, Xiang Hong, Hao Gao, Min Tang

  2020-07-31

  DOI:10.4208/cicp.2018.hh80.06

  45052 3329 pp. 1021-1048

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

  Jinjing Xu, Fei Zhao, Zhiqiang Sheng, Guangwei Yuan

  2021-01-13

  DOI:10.4208/cicp.OA-2020-0047

  45869 3383 pp. 747-766

• A New Upwind Finite Volume Element Method for Convection-Diffusion-Reaction Problems on Quadrilateral Meshes

  Ang Li, Hongtao Yang, Yulong Gao, Yonghai Li

  2024-01-31

  DOI:10.4208/cicp.OA-2023-0189

  30326 2766 pp. 239-272

• Efficient Energy-Stable Parametric Finite Element Methods for Surface Diffusion Flow and Applications in Solid-State Dewetting

  Meng Li, Yihang Guo, Jingjiang Bi

  2025-08-23

  DOI:10.4208/cicp.OA-2024-0157

  6444 481 pp. 729-765

• A Novel Method for Solving Time-Dependent 2D Advection-Diffusion-Reaction Equations to Model Transfer in Nonlinear Anisotropic Media

  Ji Lin, Sergiy Reutskiy, C. S. Chen, Jun Lu

  2019-02-25

  DOI:10.4208/cicp.OA-2018-0005

  47446 5581 pp. 233-264

• A Decoupled and Positivity-Preserving DDFVS Scheme for Diffusion Problems on Polyhedral Meshes

  Qiannan Dong, Shuai Su, Jiming Wu

  2020-05-06

  DOI:10.4208/cicp.OA-2018-0292

  50302 3700 pp. 1378-1412

• A Nominally Second-Order Cell-Centered Finite Volume Scheme for Simulating Three-Dimensional Anisotropic Diffusion Equations on Unstructured Grids

  Pascal Jacq, Pierre-Henri Maire, Remi Abgrall

  2014-10-08

  DOI:10.4208/cicp.310513.170314a

  42512 4200 pp. 841-891

• An Anisotropic Convection-Diffusion Model Using Tailored Finite Point Method for Image Denoising and Compression

  Yu-Tuan Lin, Yin-Tzer Shih, Chih-Ching Tsai

  2020-07-31

  DOI:10.4208/cicp.scpde14.30s

  40725 3294 pp. 1357-1374

• An Admissible Asymptotic-Preserving Numerical Scheme for the Electronic $M_1$ Model in the Diffusive Limit

  Sebastien Guisset, Stephane Brull, Bruno Dubroca, Rodolphe Turpault

  2018-09-17

  DOI:10.4208/cicp.OA-2017-0188

  45369 3639 pp. 1326-1354

• Monotonicity Correction for the Finite Element Method of Anisotropic Diffusion Problems

  Boyang Yu, Hongtao Yang, Yonghai Li, Guangwei Yuan

  2022-05-06

  DOI:10.4208/cicp.OA-2021-0197

  45192 3299 pp. 1489-1524

• A Monotone Finite Volume Scheme with Fixed Stencils for 3D Heat Conduction Equation

  Hui Xie, Chuanlei Zhai, Xuejun Xu, Jun Peng, Heng Yong

  2019-07-02

  DOI:10.4208/cicp.OA-2018-0252

  45004 3208 pp. 1118-1142

• An Adaptive Polygonal Finite Volume Element Method Based on the Mean Value Coordinates for Anisotropic Diffusion Problems

  Yanlong Zhang, Jiming Wu

  2025-09-02

  DOI:10.4208/cicp.OA-2023-0213

  10271 593 pp. 783-809

• A Positivity-Preserving Finite Volume Scheme for Heat Conduction Equation on Generalized Polyhedral Meshes

  Hui Xie, Xuejun Xu, Chuanlei Zhai, Heng Yong

  2018-09-17

  DOI:10.4208/cicp.OA-2017-0183

  45207 3589 pp. 1375-1408

• Projected Finite Elements for Systems of Reaction-Diffusion Equations on Closed Evolving Spheroidal Surfaces

  Necibe Tuncer, Anotida Madzvamuse

  2018-04-09

  DOI:10.4208/cicp.OA-2016-0029

  41148 3160 pp. 718-747

• 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

  DOI:10.4208/cicp.OA-2021-0011

  47693 3240 pp. 1185-1215