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., Bonet, J., Huerta, A., Peraire, J.
Format: Technical Report
Language:en_US
Published: Aerospace Computational Design Laboratory, Dept. of Aeronautics & Astronautics, Massachusetts Institute of Technology 2010
Subjects:
Poisson Equation
A Posteriori Error Estimation
Output Bounds
Finite Element
Online Access:http://hdl.handle.net/1721.1/57596

Internet

http://hdl.handle.net/1721.1/57596

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