Higher-order discontinuous Galerkin time discretizations for the evolutionary Navier–Stokes equations

Autor:	Gunar Matthies, Naveed Ahmed
Rok vydání:	2020
Předmět:	010101 applied mathematics Computational Mathematics Discontinuous Galerkin method Applied Mathematics General Mathematics Applied mathematics Order (group theory) 010103 numerical & computational mathematics 0101 mathematics Navier–Stokes equations 01 natural sciences Mathematics
Zdroj:	IMA Journal of Numerical Analysis. 41:3113-3144
ISSN:	1464-3642 0272-4979
DOI:	10.1093/imanum/draa053
Popis:	Discontinuous Galerkin methods of higher order are applied as temporal discretizations for the transient Navier–Stokes equations. The spatial discretization based on inf–sup stable pairs of finite element spaces is stabilized using a one-level local projection stabilization method. Optimal error bounds for the velocity with constants independent of the viscosity parameter are obtained for both the semidiscrete case and the fully discrete case. Numerical results support the theoretical predictions.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::5df63107e5b81dfdb3390a1786af0c7b https://doi.org/10.1093/imanum/draa053 Zobrazit plný text záznamu