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Improving interval analysis in finite element calculations by means of affine arithmetic

Computers & Structures, 2010
Interval-based uncertainty models have proven to be well-suited for structural safety engineering with few data at hand. The practical use of interval analysis is hindered by the dependency problem, which leads to an overestimation of the uncertainty on the results.
D. Degrauwe, G. Lombaert, G. De Roeck
openaire   +3 more sources

Interval arithmetic and static interval finite element method

Applied Mathematics and Mechanics, 2001
When the uncertainties of structures may be bounded in intervals, through some suitable discretization, interval finite element method can be constructed by combining the interval analysis with the traditional finite element method (FEM). The two parameters, median and deviation, were used to represent the uncertainties of interval variables.
Guo, Shuxiang, Lü, Zhenzhou
openaire   +4 more sources

Interval arithmetic over finitely many endpoints

open access: yesBIT Numerical Mathematics, 2012
To my knowledge all definitions of interval arithmetic start with real endpoints and prove properties. Then, for practical use, the definition is specialized to finitely many endpoints, where many of the mathematical properties are no longer valid. There seems no treatment how to choose this finite set of endpoints to preserve as many mathematical ...
Rump, Siegfried M.
openaire   +2 more sources

Non-stochastic interval arithmetic-based finite element analysis for structural uncertainty response estimate

Structural Engineering and Mechanics, 2008
Finite element methods have often been used for structural analyses of various mechanical problems. When finite element analyses are utilized to resolve mechanical systems, numerical uncertainties in the initial data such as structural parameters and loading conditions may result in uncertainties in the structural responses.
Dongkyu Lee, Sungsoo Park, Soomi Shin
openaire   +1 more source

Arithmetic Graphs and Classes of Finite Groups

Siberian Mathematical Journal, 2019
V I Murashka, Murashka V I
exaly  

Arithmetic Unit for Finite Field ${\rm GF}(2^{m})$

IEEE Transactions on Circuits and Systems I: Regular Papers, 2008
Shyue-Win Wei
exaly  

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