Efficient interval methods for finite element solutions

An efficient method for including the impact of uncertain input data along with the impact of truncation errors in finite element calculations is presented. This method is based on the theory of interval numbers. The formulation involves a predictor-corrector approach that allows for wide interval v...

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Bibliographic Details
Main Authors: Mullen, R.L., Muhanna, R.L.
Format: Conference Proceeding
Language:English
Subjects:
Arithmetic
Data analysis
Finite element methods
Finite wordlength effects
High performance computing
Lagrangian functions
Large-scale systems
Physics computing
Solids
Uncertainty
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Summary:An efficient method for including the impact of uncertain input data along with the impact of truncation errors in finite element calculations is presented. This method is based on the theory of interval numbers. The formulation involves a predictor-corrector approach that allows for wide interval values as input and maintains sharp results during calculations. Results that illustrate the method's improved sharpness for solid mechanics problems are presented.
DOI:10.1109/HPCSA.2002.1019150