Published: Građevinar 63 (2011) 11
Paper type: Original scientific paper
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Effect of rounding error on the accuracy of structural analysis
Abstract
In order to estimate accuracy of structural analyses, the authors introduce a systemic set of examples with analytic solutions that can be presented, through the finite element method, in form of whole numbers and fractions. The three-cube Lagrange element in form of cuboid is selected as an example. Examples are solved numerically using a standard number of significant digits. In the end, an accurate calculation of error is derived from the difference between the exact and numerical solutions. The entire procedure is realized using the Mathematica software.
Keywordsthree-cube Lagrange element, cuboid, plate, structure, member, accuracy of analysis, rounding error