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• A Quadratic Serendipity Finite Volume Element Method on Arbitrary Convex Polygonal Meshes

  Yanlong Zhang

  2023-08-14

  34647 3401 Pages:116-131

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

  Yanlong Zhang, Jiming Wu

  2025-09-02

  10261 590 Pages:783-809

• High Order Schemes on Three-Dimensional General Polyhedral Meshes — Application to the Level Set Method

  Thibault Pringuey, R. Stewart Cant

  2012-12-01

  41238 4770 Pages:1-41

• An Efficient Positivity-Preserving Finite Volume Scheme for the Nonequilibrium Three-Temperature Radiation Diffusion Equations on Polygonal Meshes

  Shuai Su, Huazhong Tang, Jiming Wu

  2021-05-25

  48868 3169 Pages:448-485

• Continuous Finite Element Subgrid Basis Functions for Discontinuous Galerkin Schemes on Unstructured Polygonal Voronoi Meshes

  Walter Boscheri, Michael Dumbser, Elena Gaburro

  2022-07-06

  42367 3771 Pages:259-298

• A Polygonal Discontinuous Galerkin Formulation for Contact Mechanics in Fluid-Structure Interaction Problems

  Stefano Zonca, Paola F. Antonietti, Christian Vergara

  2021-04-30

  51494 4723 Pages:1-33

• 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

• Local Virtual Element Basis Functions for Space-Time Discontinuous Galerkin Schemes on Unstructured Voronoi Meshes

  Walter Boscheri, Giulia Bertaglia

  2024-09-06

  24026 1665 Pages:348-388

• The Lowest-Order Stabilized Virtual Element Method for the Stokes Problem

  Xin Liu, Qixuan Song, Yu Gao, Zhangxin Chen

  2024-07-29

  24418 2349 Pages:221-247

• A Conservative Parallel Iteration Scheme for Nonlinear Diffusion Equations on Unstructured Meshes

  Yunlong Yu, Yanzhong Yao, Guangwei Yuan, Xingding Chen

  2020-07-30

  42404 3445 Pages:1405-1423

• An LDG Method for Stochastic Cahn-Hilliard Type Equation Driven by General Multiplicative Noise Involving Second-Order Derivative

  Li Zhou, Yunzhang Li

  2022-01-27

  43687 3311 Pages:516-547

• The Bulk-Surface Virtual Element Method for Reaction-Diffusion PDEs: Analysis and Applications

  Massimo Frittelli, Anotida Madzvamuse, Ivonne Sgura

  2023-04-28

  32780 3259 Pages:733-763 Open-access

• 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