L2-Error bounds for approximate solutions of elliptic partial differential equations with Dirichlet-boundary conditions

Kioustelidis, JB

dc.contributor.author	Kioustelidis, JB	en
dc.date.accessioned	2014-03-01T01:07:31Z
dc.date.available	2014-03-01T01:07:31Z
dc.date.issued	1989	en
dc.identifier.issn	0010-485X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/10039
dc.subject	AMS Subject Classification: 65L10	en
dc.subject	Elliptic boundary value problems	en
dc.subject	Error bounds	en
dc.subject.classification	Computer Science, Theory & Methods	en
dc.title	L2-Error bounds for approximate solutions of elliptic partial differential equations with Dirichlet-boundary conditions	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF02241857	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF02241857	en
heal.language	English	en
heal.publicationDate	1989	en
heal.abstract	New a posteriori (computable) upper bounds for the L2-norms, both of D(u-v) and of u-v are proposed, where u is the exact solution of the boundary value problem {Mathematical expression} and v any approximation of it (D is here the vector of partial derivatives with respect to the components of x). It is shown that the new error bounds are better than the classical one, which is proportional to {norm of matrix}Av-f{norm of matrix}, in many cases. This happens, e. g., if q has some zero point in G, as in the case of a Poisson equation. © 1989 Springer-Verlag.	en
heal.publisher	Springer-Verlag	en
heal.journalName	Computing	en
dc.identifier.doi	10.1007/BF02241857	en
dc.identifier.isi	ISI:A1989CH66500003	en
dc.identifier.volume	43	en
dc.identifier.issue	2	en
dc.identifier.spage	133	en
dc.identifier.epage	140	en