Goal-oriented error estimation applied to direct solution of steady-state analysis with frequency-domain finite element method

doi:10.1007/s10483-012-1569-x

Applied Mathematics and Mechanics (English Edition) ›› 2012, Vol. 33 ›› Issue (5): 539-552.doi: https://doi.org/10.1007/s10483-012-1569-x

• 论文 • 下一篇

Goal-oriented error estimation applied to direct solution of steady-state analysis with frequency-domain finite element method

林治家, 由小川, 庄茁

Applied Mechanics Laboratory, School of Aerospace, Tsinghua University, Beijing 100084, P. R. China

收稿日期:2011-08-11 修回日期:2012-02-08 出版日期:2012-05-10 发布日期:2012-05-10
通讯作者: Zhuo ZHUANG, Professor, Ph.D., E-mail: zhuangz@tsinghua.edu.cn E-mail:zhuangz@tsinghua.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (No. 10876100)

Goal-oriented error estimation applied to direct solution of steady-state analysis with frequency-domain finite element method

Zhi-jia LIN, Xiao-chuan YOU, Zhuo ZHUANG

Applied Mechanics Laboratory, School of Aerospace, Tsinghua University, Beijing 100084, P. R. China

Received:2011-08-11 Revised:2012-02-08 Online:2012-05-10 Published:2012-05-10
Contact: Zhuo ZHUANG, Professor, Ph.D., E-mail: zhuangz@tsinghua.edu.cn E-mail:zhuangz@tsinghua.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (No. 10876100)

摘要/Abstract

摘要： Based on the concept of the constitutive relation error along with the residuals of both the origin and the dual problems, a goal-oriented error estimation method with extended degrees of freedom is developed. It leads to the high quality local error bounds in the problem of the direct-solution steady-state dynamic analysis with a frequency-domain finite element, which involves the enrichments with plural variable basis functions. The solution of the steady-state dynamic procedure calculates the harmonic response directly in terms of the physical degrees of freedom in the model, which uses the mass, damping, and stiffness matrices of the system. A three-dimensional finite element example is carried out to illustrate the computational procedures.

Abstract: Based on the concept of the constitutive relation error along with the residuals of both the origin and the dual problems, a goal-oriented error estimation method with extended degrees of freedom is developed. It leads to the high quality local error bounds in the problem of the direct-solution steady-state dynamic analysis with a frequency-domain finite element, which involves the enrichments with plural variable basis functions. The solution of the steady-state dynamic procedure calculates the harmonic response directly in terms of the physical degrees of freedom in the model, which uses the mass, damping, and stiffness matrices of the system. A three-dimensional finite element example is carried out to illustrate the computational procedures.

中图分类号:

林治家;由小川;庄茁. Goal-oriented error estimation applied to direct solution of steady-state analysis with frequency-domain finite element method[J]. Applied Mathematics and Mechanics (English Edition), 2012, 33(5): 539-552.

Zhi-jia LIN;Xiao-chuan YOU;Zhuo ZHUANG. Goal-oriented error estimation applied to direct solution of steady-state analysis with frequency-domain finite element method[J]. Applied Mathematics and Mechanics (English Edition), 2012, 33(5): 539-552.

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Goal-oriented error estimation applied to direct solution of steady-state analysis with frequency-domain finite element method

Goal-oriented error estimation applied to direct solution of steady-state analysis with frequency-domain finite element method

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