Adaptive Analysis with Mesh-free Method using the Double Projection method - I. Error Estimation -

A newly modified error estimation technique of double projection method for adaptive mesh-free analysis is proposed in this paper. Some oscillations of error distribution which is coming from projection technique which was our previous work, can be eliminated through double projection procedure of error distribution. The estimated error distribution without oscillation is more suitable for adaptive analysis. In double projection technique, additional projection of error distribution is based on integration points, so called virtual nodes. The averaging effect is maintained, as the domain of influence of double projection is bigger than that of projection method. Through various numerical experiments, the everaging effect is examined in terms of the size of domain of influence in double projection procedure, and it is found that the domain of influence should be large enough to cover the oscillation of original error distribution. The result of this study will be used in our next paper on adaptive procedure for mesh-free method.