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

dc.contributor.author	Sauer-Budge, A. M.
dc.contributor.author	Bonet, J.
dc.contributor.author	Huerta, A.
dc.contributor.author	Peraire, J.
dc.date.accessioned	2010-08-27T19:36:50Z
dc.date.available	2010-08-27T19:36:50Z
dc.date.issued	2003
dc.identifier.uri	http://hdl.handle.net/1721.1/57596
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.language.iso	en_US	en
dc.publisher	Aerospace Computational Design Laboratory, Dept. of Aeronautics & Astronautics, Massachusetts Institute of Technology	en
dc.relation.ispartofseries	ACDL Technical Reports;FDRL TR-03-1
dc.subject	Poisson Equation	en
dc.subject	A Posteriori Error Estimation	en
dc.subject	Output Bounds	en
dc.subject	Finite Element	en
dc.title	Computing Bounds for Linear Functionals of Exact Weak Solutions to Poisson’s Equation	en
dc.type	Technical Report	en