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

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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


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