Parallel Implementation of Total-FETI DDM with Application to Medical Image Registration

The FETI (Finite Element Tearing and Interconnecting) method turned out to be one of the most successful methods for the parallel solution of elliptic partial differential equations. Total-FETI (TFETI) by Dostal et al. simplifes the inversion of stiffness matrices of subdomains by using Lagrange multipliers not only for gluing the subdomains along the auxiliary interfaces, but also to enforce the Dirichlet boundary conditions. Thus, bases of kernels of all subdomain stiffness matrices are known a priori and can be assembled directly from mesh data.Although usual applications of TFETI method lie in the field of material sciences and structural mechanics, we demonstrate its applicability to the problem of the image registration of computer tomography imaging data using elastic registration method.