In the present paper we initiate the study of hp Virtual Elements. We focus on the case with uniform polynomial degree across the mesh and derive theoretical convergence estimates that are explicit both in the mesh size h and in the polynomial degree p in the case of finite Sobolev regularity. Exponential convergence is proved in the case of analytic solutions. The theoretical convergence results are validated in numerical experiments. Finally, an initial study on the possible choice of local basis functions is included.
Beirão Da Veiga, L., Chernov, A., Mascotto, L., & Russo, A. (2016). Basic principles of hp virtual elements on quasiuniform meshes. MATHEMATICAL MODELS AND METHODS IN APPLIED SCIENCES, 26(8), 1567-1598 [10.1142/S021820251650038X].
Citazione: | Beirão Da Veiga, L., Chernov, A., Mascotto, L., & Russo, A. (2016). Basic principles of hp virtual elements on quasiuniform meshes. MATHEMATICAL MODELS AND METHODS IN APPLIED SCIENCES, 26(8), 1567-1598 [10.1142/S021820251650038X]. | |
Tipo: | Articolo in rivista - Articolo scientifico | |
Carattere della pubblicazione: | Scientifica | |
Presenza di un coautore afferente ad Istituzioni straniere: | Si | |
Titolo: | Basic principles of hp virtual elements on quasiuniform meshes | |
Autori: | Beirão Da Veiga, L; Chernov, A; Mascotto, L; Russo, A | |
Autori: | BEIRAO DA VEIGA, LOURENCO (Primo) RUSSO, ALESSANDRO (Ultimo) | |
Data di pubblicazione: | 2016 | |
Lingua: | English | |
Rivista: | MATHEMATICAL MODELS AND METHODS IN APPLIED SCIENCES | |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1142/S021820251650038X | |
Appare nelle tipologie: | 01 - Articolo su rivista |
File in questo prodotto:
File | Descrizione | Tipologia | Licenza | |
---|---|---|---|---|
Basic principles of hp virtual elements methods on quasiuniform meshes.pdf | Publisher's version | Administrator Richiedi una copia |