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.

BEIRAO DA VEIGA, L., Dassi, F., Russo, A., Dassi, F. (2017). High-order Virtual Element Method on polyhedral meshes. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 74(5), 1110-1122 [10.1016/j.camwa.2017.03.021].

High-order Virtual Element Method on polyhedral meshes

BEIRAO DA VEIGA, LOURENCO
Primo
;
RUSSO, ALESSANDRO
Ultimo
;
DASSI, FRANCO
2017

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.
Articolo in rivista - Articolo scientifico
Diffusion–reaction problem; Polyhedral meshes; Virtual Element Method;
Virtual Element Method; Polyhedral meshes;Diffusion–reaction problem
English
2017
74
5
1110
1122
partially_open
BEIRAO DA VEIGA, L., Dassi, F., Russo, A., Dassi, F. (2017). High-order Virtual Element Method on polyhedral meshes. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 74(5), 1110-1122 [10.1016/j.camwa.2017.03.021].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/155388
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