Space-time isogeometric analysis of parabolic evolution equations

dc.contributor.author	Langer, Ulrich
dc.contributor.author	Moore, Stephen E.
dc.contributor.author	Neum¨ller, Martin
dc.date.accessioned	2021-08-31T14:34:19Z
dc.date.available	2021-08-31T14:34:19Z
dc.date.issued	2015
dc.identifier.issn	23105496
dc.identifier.uri	http://hdl.handle.net/123456789/6027
dc.description	43p:, ill.	en_US
dc.description.abstract	We present and analyze a new stable space-time Isogeometric Analysis (IgA) method for the numerical solution of parabolic evolution equations in fixed and moving spatial computational domains. The discrete bilinear form is elliptic on the IgA space with respect to a discrete energy norm. This property together with a corresponding boundedness property, consistency and approximation results for the IgA spaces yields an a priori discretization error estimate with respect to the discrete norm. The theoretical results are confrmed by several numerical experiments with low- and high-order IgA spaces	en_US
dc.language.iso	en	en_US
dc.publisher	University of Cape Coast	en_US
dc.subject	Parabolic initial-boundary value problems	en_US
dc.subject	Space-time isogeometric analysis	en_US
dc.subject	Fixed and moving spatial computational domains	en_US
dc.subject	A priori discretization error estimates	en_US
dc.title	Space-time isogeometric analysis of parabolic evolution equations	en_US
dc.type	Article	en_US