Finite modeling of parabolic equations using Galerkin methods and inverse matrix approximations

In this paper, we introduce a new computational method for solving the diffusion equation. In particular, we construct a "generalized" state-space system and compute the impulse response of an equivalent truncated state-space system. In this effort, we use a 3-D Finite Element Method (FEM) to obtain the state space system. Secondly, we use the Arnoldi iteration to approximate the state impulse response by projecting on the dominant controllable subspace. The idea exploited here is the approximation of the impulse response of the linear system. The homogeneous and heterogeneous cases are studied and the approximation error is discussed. Finally, we compare our computational results to our experimental set up.

show abstract

System identification using the extended Kalman filter with applications to medical imaging

Yin

Syrmos

Yun

2000

Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334)

View full text Add to dashboard Cite

Finite modeling of parabolic equations using Galerkin methods and inverse matrix approximations

Cited by 4 publications

References 13 publications

A numerical algorithm for the diffusion equation using 3D FEM and the Arnoldi method

A numerical algorithm for the diffusion equation using 3D FEM and the Arnoldi method

A numerical algorithm for the diffusion equation using 3D FEM and the Arnoldi method [human tissue cells detection]

System identification using the extended Kalman filter with applications to medical imaging

Contact Info

Product

Resources

About