Efficient Iterative Solvers for Boundary Element Tearing and Interconnecting Method
GŁnther Of (Univ. Stuttgart)
(joint work with O.Steinbach)
The Boundary Element Tearing and Interconnecting (BETI) methods have recently
been introduced in  as boundary element
counterparts of the well-established Finite Element Tearing and Interconnecting
(FETI) methods. As domain decomposition methods, the BETI methods are
efficient parallel solvers for large scale boundary element equations.
Several systems of linear equations for the BETI formulation, namely a Schur
complement system, a saddle point problem and a twofold saddle point problem,
are discussed and compared to each other. In addition, different iterative
solvers are used. Efficient preconditioners are used
for the local boundary integral operators and the realization of BETI
preconditioners is discussed. Sparse approximations of the occurring boundary
integral operators are realized by the use of the Fast Multipole Method.
 U. Langer, O. Steinbach, Boundary element tearing and
interconnecting methods, Computing 71 (2003), 205-228.