1. Notations

\(\Phi (\cdot )\)	:	Free energy potential
\(\underline{\underline{ϵ}}\)	:	Deformation tensor
\(\underline{\underline{\sigma }}\)	:	Stress tensor
\(\Omega\)	:	Domain occupied by the structure
\(\stackrel{̃}{u}\)	:	Boundary conditions when moving on edge \({\delta }_{u}\Omega\)
\(\stackrel{̃}{f}\)	:	Boundary conditions in effort on the edge \({\delta }_{f}\Omega\)
\(\underline{\underline{C}}\)	:	Hooke tensor
\(u\)	:	Travel field
\(\Re (\cdot )\)	:	Real part
\({\xi }_{\omega }^{2}\)	:	Drüker error under a frequential formalism
\((u,v,w)\)	:	Triple of eligible fields associated with the ERC problem.
\({e}_{\omega }^{2}\)	:	Functional ERC under an EF formalism in the field of linear dynamics under frequency writing.
\(\omega\)	:	Clean pulse
\(f\)	:	Frequency
\([K]\)	:	EF stiffness matrix
\([M]\)	:	EF mass matrix
\([{G}_{r}]\)	:	Positive definite norm matrix
\([H]\)	:	Observation matrix
\(\Psi\)	:	Clean mode
\(\alpha\)	:	Parameter for the regularization type of the ERC functional.
\(\gamma\)	:	Parameter of the weighting type of the ERC functional.
\(\widehat{u}\)	:	Measured field of movement.
\(A\)	:	Matrix associated with solving the ERC problem.
\(l\)	:	Vector of unknowns associated with solving the ERC problem.
\(b\)	:	Second member associated with solving the ERC problem.