On using different recovery procedures for the construction of smoothed stress in finite element method.

*(English)*Zbl 0940.74064Summary: We review the performance of three different stress recovery procedures, namely, the superconvergent patch recovery technique (SPR), the recovery by equilibrium in patches (REP) and a combined method known as the LP procedure [see the foregoing entry]. Different order of polynomials and various patch formation strategies have been employed in the numerical studies for the construction of smoothed stress fields. Two two-dimensional elastostatic problems with different characteristics are used to assess the behaviour of the stress recovery procedures. The numerical results obtained indicate that when the order of polynomial used in the recovery procedure is equal to that of the finite element analysis, the properties of all three recovery procedures are very similar, and each of them can provide a reliable recovered stress field for error estimation. In the case when the order of polynomial of the recovered stress is increased, the LP procedure seems to give a more stable recovery matrix and a more reliable recovered stress field than the REP procedure.

##### Keywords:

boundary constraints; hole in infinite plate; superconvergent patch recovery technique; recovery by equilibrium in patches; LP procedure; order of polynomials; patch formation; smoothed stress fields
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\textit{S. H. Lo} and \textit{C. K. Lee}, Int. J. Numer. Methods Eng. 43, No. 7, 1223--1252 (1998; Zbl 0940.74064)

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