We analyze in this paper a virtual element approximation for the acoustic vibration problem. We consider a variational formulation relying only on the fluid displacement and propose a discretization by means of H (div) virtual elements with vanishing rotor. Under standard assumptions on the meshes, we show that the resulting scheme provides a correct approximation of the spectrum and prove optimal order error estimates. With this end, we prove approximation properties of the proposed virtual elements. We also report some numerical tests supporting our theoretical results.
Beirao Da Veiga, L., Mora, D., Rivera, G., & Rodríguez, R. (2017). A virtual element method for the acoustic vibration problem. NUMERISCHE MATHEMATIK, 136(3), 725-763.
Citazione: | Beirao Da Veiga, L., Mora, D., Rivera, G., & Rodríguez, R. (2017). A virtual element method for the acoustic vibration problem. NUMERISCHE MATHEMATIK, 136(3), 725-763. |
Tipo: | Articolo in rivista - Articolo scientifico |
Carattere della pubblicazione: | Scientifica |
Presenza di un coautore afferente ad Istituzioni straniere: | Si |
Titolo: | A virtual element method for the acoustic vibration problem |
Autori: | Beirao Da Veiga, L; Mora, D; Rivera, G; Rodríguez, R |
Autori: | BEIRAO DA VEIGA, LOURENCO (Primo) |
Data di pubblicazione: | 2017 |
Lingua: | English |
Rivista: | NUMERISCHE MATHEMATIK |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1007/s00211-016-0855-5 |
Appare nelle tipologie: | 01 - Articolo su rivista |