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I dont know if they are called integration nodes, but sure they are called "Gauss Points". these are the points in FEA where stresses are or displacements are calculated and are then interpolated or extrapolated to nodes or within the areas. Stress at nodes will be extrapolated from Gauss points. But at nodes, there will be many values different values from each corner of adjacent area. You should not average results at this intersection which will help you understanding the quality of mesh. Its an art where and what to check in FEA. You should consult FEA book by Robert D. Cook. Its very easy and well written plus the author is well known in this field.