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math.NA2016★ 1 cited
Legendre-Fenchel duality and a generalized constitutive relation error
Mengwu Guo, Weimin Han, Hongzhi Zhong
A generalized constitutive relation error is proposed in an analogous form to Fenchel-Young inequality on the basis of the key idea of Legendre-Fenchel duality theory. The generali…
math.NA2016★ 3 cited
Strict upper and lower bounds for quantities of interest in static response sensitivity analysis
Mengwu Guo, Hongzhi Zhong
In this paper, a goal-oriented error estimation technique for static response sensitivity analysis is proposed based on the constitutive relation error (CRE) estimation for finite…