Title
Efficient Interval Methods for Finite Element Solutions
Abstract
An efficient method for including the impact of uncertain input data along with the impact oftruncation 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.
Year
DOI
Venue
2002
10.1109/HPCSA.2002.1019150
HPCS
Keywords
Field
DocType
error analysis,finite element analysis,mechanical engineering computing,number theory,finite element analysis,interval numbers,predictor corrector approach,sharpness,solid mechanics,truncation errors,uncertain input data
Applied mathematics,Mathematical optimization,Supercomputer,Solid mechanics,Computer science,Parallel computing,Extended finite element method,Finite element method,Truncation error (numerical integration),Number theory,Mixed finite element method,Smoothed finite element method
Conference
ISBN
Citations 
PageRank 
0-7695-1626-2
1
0.36
References 
Authors
0
2
Name
Order
Citations
PageRank
Robert L. Mullen1121.75
Rafi L. Muhanna2262.92