TY - UNPB
T1 - Legendre-Fenchel duality and a generalized constitutive relation error
AU - Guo, Mengwu
AU - Han, Weimin
AU - Zhong, Hongzhi
PY - 2016
Y1 - 2016
N2 - 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.
AB - 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.
U2 - 10.48550/arXiv.1611.05589
DO - 10.48550/arXiv.1611.05589
M3 - Preprint (in preprint archive)
BT - Legendre-Fenchel duality and a generalized constitutive relation error
PB - arXiv.org
ER -