Regularized algorithms for the calculation of values on and near boundaries in 2D elastic BEM

It is verified that, under certain continuity conditions, the boundary inte gral equations (BIEs) of both displacement and displacement derivative can be expressed in a variety of regularized forms with at most weak singularit ies for any points within the domain or on its boundary. A series of algori thms embedded in the regularized formulations are presented to calculate th e field variables within the domain or on its boundary. Detailed numerical results are given to check and compare the validities of the proposed algor ithms and some practical effective algorithms are discovered. Due to the ch aracter of the at most weak singularities in the formulations, the algorith ms require no special numerical treatments, but only the general Gauss quad rature to implement. To the end, the continuity requirements for the field variables and the validities of the algorithms are discussed. (C) 2001 Else vier Science Ltd. All rights reserved.