Title :
Efficient interval methods for finite element solutions
Author :
Mullen, Robert L. ; Muhanna, Rafi L.
Author_Institution :
Case Western Reserve Univ., Cleveland, OH, USA
Abstract :
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.
Keywords :
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; Arithmetic; Data analysis; Finite element methods; Finite wordlength effects; High performance computing; Lagrangian functions; Large-scale systems; Physics computing; Solids; Uncertainty;
Conference_Titel :
High Performance Computing Systems and Applications, 2002. Proceedings. 16th Annual International Symposium on
Print_ISBN :
0-7695-1626-2
DOI :
10.1109/HPCSA.2002.1019150
