The system resulting from the coupled Finite Element
Method and Boundary Element Method formulations inherits all
characteristics of both finite element and boundary element
equation system, i. e., the system is partially sparse and symmetric
and partially full and nonsymmetric. Consequently, to solve the
resulting coupled equation system is not a trivial task. This paper
proposes a new efficient lifting-based two level preconditioner for
the coupled global system. The proposed approach is applied to
solve the coupled systems resulting from the electromagnetic
scattering problem and its performance is evaluated based on the
number of iterations and the computational time. Traditional
methods based on incomplete and complete LU decompositions are
used for comparison.
