Ebook: Kalman Filter Finite Element Method Applied to Dynamic Motion of Ground

This paper presents an estimation of dynamic elastic behavior of the ground body using
the Kalman filter finite element method. In this research, as the state equation, the
balance of stress equation, strain - displacement equation, the stress strain equation are
applied. For the temporal discretaization, the Newmark β method is used and for the
spatial discretization the Galerkin method is applied. The Kalman filter finite element
method is the combination of the Kalman filter and the finite element method. This is
capable of estimation not only in time but also in space directions, which was confirmed
by the application to the Futatsuishi quarry site.