کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
559125 1451861 2016 22 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Development of error criteria for adaptive multi-element polynomial chaos approaches
ترجمه فارسی عنوان
توسعه معیارهای خطای رویکرد هرج و مرج چندجملهای چندگانه تطبیقی
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر پردازش سیگنال
چکیده انگلیسی


• An extension to the multi-element polynomial chaos methodology is offered.
• Two different error criteria for partitioning are proposed.
• These criteria are applied to differential equations and mechanical oscillators.
• Results are compared with original partitioning methodology.
• The proposed criteria are more robust and faster to converge.

This paper presents and compares different methodologies to create an adaptive stochastic space partitioning in polynomial chaos applications which use a multi-element approach. To implement adaptive partitioning, Wan and Karniadakis first developed a criterion based on the relative error in local variance. We propose here two different error criteria: one based on the residual error and the other on the local variance discontinuity created by partitioning. The methods are applied to classical differential equations with long-term integration difficulties, including the Kraichnan–Orszag three-mode problem, and to simple linear and nonlinear mechanical systems whose stochastic dynamic responses are investigated. The efficiency and robustness of the approaches are investigated by comparison with Monte-Carlo simulations. For the different examples considered, they show significantly better convergence characteristics than the original error criterion used.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Mechanical Systems and Signal Processing - Volumes 66–67, January 2016, Pages 201–222
نویسندگان
, ,