Abstract
The main aim of this paper is to study the nonconforming \(EQ_1^{rot}\) quadrilateral finite element approximation to second order elliptic problems on anisotropic meshes. The optimal order error estimates in broken energy norm and \(L^2\)-norm are obtained, and three numerical experiments are carried out to confirm the theoretical results.
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Acknowledgments
The research is supported by the NSF of China (No. 10971203; No. 11271340), Research Fund for the Doctoral Program of Higher Education of China (No. 20094101110006).
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Shi, Dy., Xu, C. & Chen, Jh. Anisotropic Nonconforming \({ EQ}_1^{rot}\) Quadrilateral Finite Element Approximation to Second Order Elliptic Problems. J Sci Comput 56, 637–653 (2013). https://doi.org/10.1007/s10915-013-9690-3
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DOI: https://doi.org/10.1007/s10915-013-9690-3