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| A Modified Argyris Element Method for Kirchhoff Plates Bending Problems |
| HUANG Xue-Hai-1, LAI Jun-Jiang-2, WANG Wen-Qing-3 |
| (1.College of Mathematics and Information Science, Wenzhou University, Wenzhou 325035, Zhejiang, China; 2.Department of Mathematics, Minjiang University, Fuzhou 350108, China;3.City College, Wenzhou University, Wenzhou 325035, Zhejiang, China) |
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Abstract A modified Argyris element was constructed and used for numerically solving Kirchhoff plate bending problems. The comparison between modified Argyris element and usual Argyris element was given, and the numbers of degrees of freedom between modified Argyris element and some usual nonconforming elements were also compared in details. Then a priori error estimate of modified Argyris element method was provided. The basis functions were presented for real applications. Finally, a posteriori error estimator was established for the modified Argyris element method, which is efficient and reliable.
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Received: 16 March 2012
Published: 28 February 2013
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