Thepaperdiscusseshowtoreducehighersingularityorderofaboundaryintegralequation.Theapproachwillbediscussedinsomedetailforplaneelasticity.Numericalresultsforthemeshesofunequallengthboundaryelementsarereported.Higherprecisionforbothdeflectionandforceisobtainedthanthatobtainedwithageneralboundaryelementmethod.