Jt. Chen et Fc. Wong, ANALYTICAL DERIVATIONS FOR ONE-DIMENSIONAL EIGENPROBLEMS USING DUAL BOUNDARY-ELEMENT METHOD AND MULTIPLE RECIPROCITY METHOD, Engineering analysis with boundary elements, 20(1), 1997, pp. 25-33
In this paper, MRM (multiple reciprocity method) and DBEM (dual bounda
ry element method) are combined to solve one-dimensional eigenproblems
. It is found that the hypersingular equation (LM method) for MRM prov
ides an additional constraint to determine the eigenfunctions in case
of failure using the singular equation (UT) method only. Also, augment
ed eigenvalues can be deleted by employing dual equations. The hypersi
ngular equation of DBEM (LM equation) plays an important role in deter
mining the eigenvalues and eigenmodes. Four numerical examples are giv
en to verify the validity of the present formulation. (C) 1997 Elsevie
r Science Limited.