Goal-oriented error estimation applied to direct solution of steady-state analysis with frequency-domain finite element method |
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Authors: | Zhi-jia Lin Xiao-chuan You Zhuo Zhuang |
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Institution: | Applied Mechanics Laboratory, School of Aerospace, Tsinghua University, Beijing 100084, P. R. China |
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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. |
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Keywords: | goal-oriented error estimation finite element method(FEM) direct-solution steady-state analysis frequency domain |
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