کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4963893 1447415 2017 46 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Towards 'h-p adaptive' generalized ANOVA
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
Towards 'h-p adaptive'
 generalized ANOVA
چکیده انگلیسی
This paper presents a novel 'h-p adaptive' generalized analysis of variance decomposition (G-ANOVA) for high dimensional stochastic computations. Firstly, an iterative scheme based on variance based global sensitivity analysis is proposed to determine the optimal polynomial order and important component functions (p adaptivity) of G-ANOVA. Then, a homotopy algorithm is employed to determine the unknown expansion coefficients. Moreover, a novel distribution adaptive sequential experimental design (h-adaptivity) is utilized at each step and the accuracy of the G-ANOVA based surrogate model is computed using leave one out statistical test. It is observed that significantly less number of component functions are retained. As a consequence, the proposed approach is highly efficient and is applicable for solving problems involving large number of stochastic dimensions. Implementation of the proposed approach has been illustrated with four high dimensional applied mechanics problems. The proposed approach is found to yield accurate and efficient results. Finally, the proposed approach has been applied for structural reliability analysis of a large scale real life problem.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computer Methods in Applied Mechanics and Engineering - Volume 320, 15 June 2017, Pages 558-581
نویسندگان
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