Superconvergent patch recovery techniques — some further tests. (English) Zbl 0778.73079
Summary: A modification has been introduced to the new superconvergent patch derivative recovery technique recently developed O. C. Zienkiewicz and J. Z. Zhu, [Int. J. Numer. Methods Eng. 33, No. 7, 1331-1364 (1992; Zbl 0769.73084)]. By use of a locally normalized coordinate system, this technique can now be applied to higher-order finite-element shape functions. Numerical studies are carried out for up to 6th-order elements in one dimension and for up to quartic elements in two dimensions, and superconvergent results are obtained for all examples tested.
MSC:
| 74S05 | Finite element methods applied to problems in solid mechanics |
Keywords:
locally normalized coordinate system; higher-order finite-element shape functions; 6th-order elements; quartic elementsCitations:
Zbl 0769.73084References:
| [1] | Zienkiewicz, Superconvergent derivative recovery techniques and a posteriori error estimation in the finite element method, Part I: A general superconvergent recovery technique, Int. j. numer. methods eng. 33 pp 1331– (1992) · Zbl 0769.73084 · doi:10.1002/nme.1620330702 |
| [2] | Zienkiewicz, Superconvergent derivative recovery techniques and a posteriori error estimation in the finite element method, Part 11: The Zienkiewicz-Zhu a posteriori error estimator, Int. j. numer. methods eng. 33 pp 1365– (1992) · Zbl 0769.73085 · doi:10.1002/nme.1620330703 |
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