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The locations of optimal stress points in Lagrangian and serendipity elements are determined by using the symbolic mathematical tool Mathematica. It is found that, for the Lagrange family of elements of order more than two, the co-ordinates of optimal stress points slightly differ from those of the reduced Gauss integration points. Some of the serendipity family of elements have either none or only one optimal stress point at the element centre. Thus, when using higher-order elements in the p- of hp-version, it is more desirable to employ the Lagrange family of elements.
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