Superconvergent Patch Recovery Based on Polynomials Satisfying Interior Equilibrium
نویسندگان
چکیده
منابع مشابه
Rotational Dependence of the Superconvergent Patch Recovery and Its Remedy for 4-node Isoparametric Quadrilateral Elements
The superconvergent patch recovery (SPR) with bilinear interpolation functions usually gives good values of recovered stresses in an element patch. However, when 4-node quadrilateral elements meeting at a node are rigidly rotated with the essential and natural boundary conditions unchanged, the recovered stresses obtained by the SPR change and depend upon the local rotation of the patch. This c...
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SUMMARY This is the rst in a series of two papers in which the patch recovery technique proposed by Zienkiewicz and Zhu is analyzed. In this work, it is proved that the recovered derivative by the least squares tting is superconvergent for the two point boundary value problems. Further the a posteriori error estimator based on the recovery technique is show to be asymptotically exact. This conn...
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SUMMARY This is the second in a series of two papers in which the patch recovery technique proposed by Zienkiewicz and Zhu 1]-3] is analyzed. In the rst paper 4], we have shown that the recovered derivative by the least squares tting is superconvergent for the two point boundary value problems. In the present work, we consider the two dimensional case in which the tensor product elements are us...
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In this paper a new technique aimed to obtain accurate estimates of the error in energy norm using a moving least squares (MLS) recovery-based procedure is presented. We explore the capabilities of a recovery technique based on an enhanced MLS fitting, which directly provides continuous interpolated fields, to obtain estimates of the error in energy norm as an alternative to the superconvergent...
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تاریخ انتشار 2007