On the nonuniqueness of BIEM/BEM using SVD

Abstract

The nonuniqueness of BIEM/BEM are studied by using the SVD technique. A nonuniqueness solution stems from the degenerate boundary, degenerate scale, spurious eigenvalue and fictitious frequency. After employing the SVD technique with respect to the four influence matrices in the dual BEM, it is found that true (physics) information is imbedded in the right unitary vector while the spurious or fictitious (numerics) information appears in the left unitary vector.