arXiv subjects

Hongzhi Zhong

Publications and source records attributed to Hongzhi Zhong.

2 recordsLinked to original sources

arXiv2017

Strict upper and lower bounds for quantities of interest in static response sensitivity analysis

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 element analysis (FEA). Strict upper and lower bounds of various quantities of interest (QoI) that are associated with the response sensitivity derivative fields are acquired. Numerical results are presented to assess the strict bounding properties of the proposed technique.

math.NA↗

arXiv2016

Legendre-Fenchel duality and a generalized constitutive relation error

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 generalized constitutive relation error is linked with the global errors of some admissible solutions for the problem in question, and is of wide applicability, especially in a posteriori error estimations of numerical methods. A class of elliptic variational inequalities is examined using the proposed approach and a strict upper bound of global energy errors of admissible solutions is obtained.

math.NA↗