Goal-Oriented Error Estimation Applied to Direct Solution of Steady-State Analysis With Frequency Domain Finite Element Method

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

doi:10.3879/j.issn.1000-0887.2012.05.001

Volume 33 Issue 5

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Article Navigation > Applied Mathematics and Mechanics > 2012 > 33(5): 513-525

LIN Zhi-jia, YOU Xiao-chuan, ZHUANG Zhuo. Goal-Oriented Error Estimation Applied to Direct Solution of Steady-State Analysis With Frequency Domain Finite Element Method[J]. Applied Mathematics and Mechanics, 2012, 33(5): 513-525. doi: 10.3879/j.issn.1000-0887.2012.05.001

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Goal-Oriented Error Estimation Applied to Direct Solution of Steady-State Analysis With Frequency Domain Finite Element Method

doi: 10.3879/j.issn.1000-0887.2012.05.001

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

Received Date: 2011-08-11
Rev Recd Date: 2012-02-08
Publish Date: 2012-05-15

Abstract

Abstract

Based on the concept of constitutive relation error along with residual of both origin and dual problems, a goal-oriented error estimation method with extended degrees of freedom was developed. It leads to the high quality local error bounds in the problem of direct-solution steady-state dynamic analysis with frequency domain finite element, which involves enrichments with plural variable basis functions. The solution of steadystate dynamic procedure calculated the harmonic response directly in terms of the physical degrees of freedom in the model, which used mass, damping, and stiffness matrices of the system. An enriched form of goal-oriented error estimation aiming at this frequency calculation was formed and implemented. A three dimensional finite element example was carried out to illustrate the computational procedures.
- goal-oriented error estimation,
- finite element method,
- direct-solution steady-state analysis,
- frequency domain

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References(22)

References

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