Nonconforming mixed finite element methods for linear elasticity using rectangular elements in two and three dimensions期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Nonconforming mixed finite element methods for linear elasticity using rectangular elements in two and three dimensions

Authors:	S.-Y. Yi

Affiliation:	(1) Department of Mathematics, Purdue University, West Lafayette, USA

Abstract:	Abstract We present nonconforming, rectangular mixed finite element methods based on the Hellinger-Reissner variational principle in both two and three dimensions and show stability and convergence. An optimal error estimate of $mathcal{O}(h^2)$ is obtained for the displacement, along with a suboptimal, , error estimate for the stress, in both dimensions.

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