Discontinuous galerkin approximations of the stokes and navier-stokes equations

Chrysafinos, K; Walkington, NJ

dc.contributor.author	Chrysafinos, K	en
dc.contributor.author	Walkington, NJ	en
dc.date.accessioned	2014-03-01T01:33:10Z
dc.date.available	2014-03-01T01:33:10Z
dc.date.issued	2010	en
dc.identifier.issn	0025-5718	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/20354
dc.subject	Discontinuous time stepping	en
dc.subject	Navier stokes	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	ADVECTION-DIFFUSION EQUATIONS	en
dc.subject.other	FINITE-ELEMENT APPROXIMATION	en
dc.subject.other	SPATIAL DISCRETIZATION	en
dc.subject.other	PARABOLIC EQUATIONS	en
dc.subject.other	CONVERGENCE	en
dc.subject.other	TIME	en
dc.title	Discontinuous galerkin approximations of the stokes and navier-stokes equations	en
heal.type	journalArticle	en
heal.identifier.primary	10.1090/S0025-5718-10-02348-3	en
heal.identifier.secondary	http://dx.doi.org/10.1090/S0025-5718-10-02348-3	en
heal.language	English	en
heal.publicationDate	2010	en
heal.abstract	Numerical schemes to compute approximate solutions of the evolutionary Stokes and Navier-Stokes equations are studied. The schemes are discontinuous in time and conforming in space and of arbitrarily high order. Fully-discrete error estimates are derived and dependence of the viscosity constant is carefully tracked. It is shown that the errors are bounded by projection errors of the exact solution which exhibit optimal rates when the solutions are smooth. © 2010 American Mathematical Society.	en
heal.publisher	AMER MATHEMATICAL SOC	en
heal.journalName	Mathematics of Computation	en
dc.identifier.doi	10.1090/S0025-5718-10-02348-3	en
dc.identifier.isi	ISI:000282140500010	en
dc.identifier.volume	79	en
dc.identifier.issue	272	en
dc.identifier.spage	2135	en
dc.identifier.epage	2167	en