Efficient Interval Methods for Finite Element Solutions

  • Authors:
  • Robert L. Mullen;Rafi L. Muhanna

  • Affiliations:
  • -;-

  • Venue:
  • HPCS '02 Proceedings of the 16th Annual International Symposium on High Performance Computing Systems and Applications
  • Year:
  • 2002

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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.