Results 121 to 130 of about 3,119 (142)
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Improving interval analysis in finite element calculations by means of affine arithmetic
Computers & Structures, 2010Interval-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
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Interval arithmetic and static interval finite element method
Applied Mathematics and Mechanics, 2001When 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
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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
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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
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Interval arithmetic over finitely many endpoints
BIT Numerical Mathematics, 2012To 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practical use, the definition is specialized to finitely many endpoints, where many of the mathematical properties are no longer valid.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 ...
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Finite Arithmetic Axiomatization for the Basis of Hyperrational Non-Standard Analysis
Axioms, 2021Yuri Lovyagin, Nikita Lovyagin
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Arithmetic Graphs and Classes of Finite Groups
Siberian Mathematical Journal, 2019Viachaslau Murashka, Murashka V I
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Arithmetic Unit for Finite Field ${\rm GF}(2^{m})$
IEEE Transactions on Circuits and Systems I: Regular Papers, 2008Shyue-Win Wei
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Non-residually finite extensions of arithmetic groups
Research in Number Theory, 2018Richard Hill
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Exponential Lower Bounds for Depth 3 Arithmetic Circuits in Algebras of Functions over Finite Fields
Applicable Algebra in Engineering, Communications and Computing, 2000D Grigoriev
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