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• W2949796885 abstract "We propose two classes of mixed finite elements for linear elasticity of any order, with interior penalty for nonconforming symmetric stress approximation. One key point of our method is to introduce some appropriate nonconforming face-bubble spaces based on the local decomposition of discrete symmetric tensors, with which the stability can be easily established. We prove the optimal error estimate for both displacement and stress by adding an interior penalty term. The elements are easy to be implemented thanks to the explicit formulations of its basis functions. Moreover, the methods can be applied to arbitrary simplicial grids for any spatial dimension in a unified fashion. Numerical tests for both 2D and 3D are provided to validate our theoretical results." @default.
• W2949796885 created "2019-06-27" @default.
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• W2949796885 date "2015-07-07" @default.
• W2949796885 modified "2023-10-17" @default.
• W2949796885 title "Interior Penalty Mixed Finite Element Methods of Any Order in Any Dimension for Linear Elasticity with Strongly Symmetric Stress Tensor" @default.
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• W2949796885 doi "https://doi.org/10.48550/arxiv.1507.01752" @default.
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