Computing Bounds for Linear Functionals of Exact Weak Solutions to Poisson’s Equation

dc.contributor.author	Sauer-Budge, A.M.
dc.contributor.author	Huerta, A.
dc.contributor.author	Bonet, J.
dc.contributor.author	Peraire, Jaime
dc.date.accessioned	2003-11-17T17:21:07Z
dc.date.available	2003-11-17T17:21:07Z
dc.date.issued	2003-01
dc.identifier.uri	http://hdl.handle.net/1721.1/3698
dc.description.abstract	We present a method for Poisson’s equation that computes guaranteed upper and lower bounds for the values of linear functional outputs of the exact weak solution of the infinite dimensional continuum problem using traditional finite element approximations. The guarantee holds uniformly for any level of refinement, not just in the asymptotic limit of refinement. Given a finite element solution and its output adjoint solution, the method can be used to provide a certificate of precision for the output with an asymptotic complexity which is linear in the number of elements in the finite element discretization.	en
dc.description.sponsorship	Singapore-MIT Alliance (SMA)	en
dc.format.extent	229367 bytes
dc.format.mimetype	application/pdf
dc.language.iso	en_US
dc.relation.ispartofseries	High Performance Computation for Engineered Systems (HPCES);
dc.subject	finite element	en
dc.subject	output bounds	en
dc.subject	a posteriori error estimation	en
dc.subject	Poisson equation	en
dc.title	Computing Bounds for Linear Functionals of Exact Weak Solutions to Poisson’s Equation	en
dc.type	Article	en