Journal article
On optimal reconstruction of constitutive relations
Abstract
In this investigation we develop and validate a computational method for reconstructing constitutive relations based on measurement data, applicable to problems arising in nonequilibrium thermodynamics and continuum mechanics. This parameter estimation problem is solved as PDE-constrained optimization using a gradient-based technique in the optimize-then-discretize framework. The principal challenge is that the control variable (i.e., the …
Authors
Bukshtynov V; Volkov O; Protas B
Journal
Physica D Nonlinear Phenomena, Vol. 240, No. 16, pp. 1228–1244
Publisher
Elsevier
Publication Date
August 2011
DOI
10.1016/j.physd.2011.04.006
ISSN
0167-2789