Convergence analysis for quadrilateral rotated Q1 elements

Authors:
Pingbing Ming;Zhong-Ci Shi
Affiliations:
Iustitute of Computational Mathematics, Chinese Academy of Sciences, P. O. Box 2719, Beijing 100080, People's Republic of China;Institute of Computational Mathematics, Chinese Academy of Sciences, P. O. Box 2719, Beijing 100080, People's Republic of China
Venue:
Scientific computing and applications
Year:
2001

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Abstract

It is proved that the rotated Q1 nonconforming element is convergent on arbitrary quadrilateral meshes for general second order elliptic problems, provided a condition on the mesh subdivision is fulfilled. The necessity of the condition is also discussed.