In this paper, measured output data of Neumann type at the boundary (x=0) and measured output data of Dirichlet type at the boundary (x=1) are used in the determination of the distinguishability of the unknown function (r(t)).
In this paper, measured output data of Neumann type at the boundary x = 0 and measured output data of Dirichlet type at the boundary x = 1 are used in the identification of the unknown coefficient.
In this paper, measured output data of Neumann type at the boundary (x=1) are used in the identification of the unknown coefficient.
In this paper, measured output data of Dirichlet type at the boundary x = 0 is used in the identification of the unknown parameters.
Consider the inverse problem of determining the unknown coefficient (k(x)) from the Dirichlet type measured output data at the boundary (x=0), u 0,t)=f(t), quad tin 0,T], and the Neumann type measured output data at the boundary (x=1), k(1)u_{x}(1,t)=h(t),quad tin 0,T]. Here (u=u x,t)) is the solution of parabolic problem (1).
A similar analysis is applied to the inverse problem with the single measured output data h ( t ) given at the point x = 1 in Section 3. The inverse problem with two Neumann measured data f ( t ) and h ( t ) is discussed in Section 4. Finally, some concluding remarks are given in Section 5. Consider now the inverse problem with one measured output data f ( t ) at x = 0.
In this paper, a modal identification system that is based on the vector backward autoregressive (VBAR) model has been developed for the identification of natural frequencies, damping ratios and mode shapes of structures from measured output data.
This paper presents a semigroup approach for inverse source problems for the abstract heat equation, when the measured output data is given in subject to the integral overspecification over the spatial domain.
Two examples of modal identification are carried out to demonstrate the availability and effectiveness of the proposed backward approach: (1) Numerical modal identification for a three-degree-of-freedom dynamic system with noise level in 20% of r.m.s of measured output data; (2) experimental modal identification of a cantilever beam.
The inverse problem consists of determining the unknown coefficient f= f(T2),T2:="|∇u|2 in the nonlinear equation ut−∇.(f(T2)∇u)= 2t,(x,y,t)∈ΩT:="Ω× 0,T),Ω⊂R2, by measured output data (or additional data) given in the integral form.
It is assumed that the function f ( t ) is noisy free measured output data.
