Abstract: A grid division -with uneven spacing at different parts is often required for stress analysis by finite element method, especially when optimal grid analysis is carried out with the so-called "selective grid enrichment". In that case the displacements are incompatible on the dividing" line between the regions with sparser and denser grids.An interpolation scheme using out-element nodes so as to establish the entirely conforming elements is proposed in the present paper. The construction of shape functions, applicability, and merits of such element are discussed. ,