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A new superconvergence property of nonconforming rotated Q1 element in 3D

✍ Scribed by Pingbing Ming; Zhong-ci Shi; Yun Xu

Book ID
104013481
Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
234 KB
Volume
197
Category
Article
ISSN
0045-7825

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✦ Synopsis

Nonconforming rotated Q 1 finite element method is used to approximate the general second-order elliptic problem in 3D. A new superconvergence property at eight vertices and six face centers of each element is proved. Several cheap numerical integration schemes are proposed for solving the discrete problem, which include schemes with only two nodes. All schemes yield optimal H 1 , L 2 error bounds as well as the superconvergence property. Extensive numerical results are presented to confirm the theoretic prediction.

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