Vy. Tereshchenko, FORMULATION OF THE VARIATIONAL BOUNDARY-ELEMENT METHOD WITH IMPROVED ACCURACY, Journal of applied mathematics and mechanics, 59(4), 1995, pp. 587-592
A formulation which uses Lagrange multipliers to ''smooth out'' discon
tinuities in the stress field approximation at the joints of the bound
ary elements, and which is in fact a hybrid formulation of the finite-
element method [1, 2], is considered. The improvement to the a posteri
ori estimate approximation is analysed.