Data di Pubblicazione:
2016
Citazione:
Basic principles of hp virtual elements on quasiuniform meshes / L. Beirão Da Veiga, A. Chernov, L. Mascotto, A. Russo. - In: MATHEMATICAL MODELS AND METHODS IN APPLIED SCIENCES. - ISSN 0218-2025. - 26:8(2016 Jul), pp. 1567-1598. [10.1142/S021820251650038X]
Abstract:
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.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
hp error bounds; polygonal methods; virtual elements; modeling and simulation; applied mathematics
Elenco autori:
L. Beirão Da Veiga, A. Chernov, L. Mascotto, A. Russo
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