Identification of Flexural Rigidity in a Kirchhoff Plates Model Using a Convex Objective and Continuous Newton Method

Table 1

Performance results for the MOLS and OLS methods.

Method	Algorithm	Iterations	-error	Min.	Max.
Example  1:  , , and
MOLS	Continuous Newton	95	5.53e − 05	1.2981e − 06	1.6089e − 06
	fminunc	71	2.71e − 04	—	—
OLS	Continuous Newton	184	3.32e − 02	−5.6394e − 06	4.9100e − 07
	fminunc	77	5.39e − 02	—	—
Example  2: , , and
MOLS	Continuous Newton	26	1.67e − 04	3.9702e − 03	7.2222e − 02
	fminunc	63	2.68e − 06	—	—
OLS	Continuous Newton	662	2.44e − 02	2.9112e − 06	4.3008e − 03
	fminunc	97	2.44e − 02	—	—
Example  3: , , and
MOLS	Continuous Newton	112	2.98e − 03	1.2992e − 08	1.3792e − 08
	fminunc	79	2.65e − 03	—	—
OLS	Continuous Newton	442	5.13e − 01	5.5219e − 09	1.1703e − 08
	fminunc	69	1.22e − 01	—	—