High-order Virtual Element Method on polyhedral meshes. (1st September 2017)

• Record Type: Journal Article
• Authors: Beirão da Veiga, L.; Dassi, F.; Russo, A.
• Is Part Of: Computers & mathematics with applications. Volume 74:issue 5(2017)
• Page Start: 1110
• Page End: 1122
• Publication Date: 2017-09-01
• Subjects: Virtual Element Method -- Polyhedral meshes -- Diffusion–reaction problem; Electronic data processing -- Periodicals; Mathematics -- Data processing -- Periodicals; 510.28541
• DOI: 10.1016/j.camwa.2017.03.021
• Languages: English
• ISSNs: 0898-1221

Abstract

Abstract: We develop a numerical assessment of the Virtual Element Method for the discretization of a diffusion–reaction model problem, for higher "polynomial" order k and three space dimensions. Although the main focus of the present study is to illustrate some h -convergence tests for different orders k, we also hint on other interesting aspects such as structured polyhedral Voronoi meshing, robustness in the presence of irregular grids, sensibility to the stabilization parameter and convergence with respect to the order k .