An Improved Finite Element Meshing Strategy for Dynamic Optimization Problems

المؤلفون المشاركون

Jiang, Aipeng
Gong, Minliang
Zhang, Quannan
Wang, Haokun
Hu, Junjie
Lin, Yinghui

المصدر

Mathematical Problems in Engineering

العدد

المجلد 2017، العدد 2017 (31 ديسمبر/كانون الأول 2017)، ص ص. 1-10، 10ص.

الناشر

Hindawi Publishing Corporation

تاريخ النشر

2017-07-19

دولة النشر

مصر

عدد الصفحات

10

التخصصات الرئيسية

هندسة مدنية

الملخص EN

The finite element orthogonal collocation method is widely used in the discretization of differential algebraic equations (DAEs), while the discrete strategy significantly affects the accuracy and efficiency of the results.

In this work, a finite element meshing method with error estimation on noncollocation point is proposed and several cases were studied.

Firstly, the simultaneous strategy based on the finite element is used to transform the differential and algebraic optimization problems (DAOPs) into large scale nonlinear programming problems.

Then, the state variables of the reaction process are obtained by simulating with fixed control variables.

The noncollocation points are introduced to compute the error estimates of the state variables at noncollocation points.

Finally, in order to improve the computational accuracy with less finite element, moving finite element strategy was used for dynamically adjusting the length of finite element appropriately to satisfy the set margin of error.

The proposed strategy is applied to two classical control problems and a large scale reverse osmosis seawater desalination process.

Computing result shows that the proposed strategy can effectively reduce the computing effort with satisfied accuracy for dynamic optimization problems.

نمط استشهاد جمعية علماء النفس الأمريكية (APA)

Gong, Minliang& Jiang, Aipeng& Zhang, Quannan& Wang, Haokun& Hu, Junjie& Lin, Yinghui. 2017. An Improved Finite Element Meshing Strategy for Dynamic Optimization Problems. Mathematical Problems in Engineering،Vol. 2017, no. 2017, pp.1-10.
https://search.emarefa.net/detail/BIM-1190510

نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)

Gong, Minliang…[et al.]. An Improved Finite Element Meshing Strategy for Dynamic Optimization Problems. Mathematical Problems in Engineering No. 2017 (2017), pp.1-10.
https://search.emarefa.net/detail/BIM-1190510

نمط استشهاد الجمعية الطبية الأمريكية (AMA)

Gong, Minliang& Jiang, Aipeng& Zhang, Quannan& Wang, Haokun& Hu, Junjie& Lin, Yinghui. An Improved Finite Element Meshing Strategy for Dynamic Optimization Problems. Mathematical Problems in Engineering. 2017. Vol. 2017, no. 2017, pp.1-10.
https://search.emarefa.net/detail/BIM-1190510

نوع البيانات

مقالات

لغة النص

الإنجليزية

الملاحظات

Includes bibliographical references

رقم السجل

BIM-1190510