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

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

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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...

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Bibliographic Details
Main Authors: Sauer-Budge, A.M., Huerta, A., Bonet, J., Peraire, Jaime
Format: Article
Language:en_US
Published: 2003
Subjects:
finite element
output bounds
a posteriori error estimation
Poisson equation
Online Access:http://hdl.handle.net/1721.1/3698

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