Abstract
A posteriori error estimators for the symmetric mixed finite element methods for linear elasticity problems with Dirichlet and mixed boundary conditions are proposed. Reliability and efficiency of the estimators are proved. Finally, numerical examples are presented to verify the theoretical results.
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Acknowledgements
This work was supported by National Science Foundation of USA (Grant No. DMS- 1418934), the Sea Poly Project of Beijing Overseas Talents, National Natural Science Foundation of China (Grant Nos. 11625101, 91430213, 11421101, 11771338, 11671304 and 11401026), Zhejiang Provincial Natural Science Foundation of China Projects (Grant Nos. LY17A010010, LY15A010015 and LY15A010016) and Wen- zhou Science and Technology Plan Project (Grant No. G20160019). The last author thanks the support of the China Scholarship Council and the University of California, Irvine during her visit to UC Irvine from 2014 to 2015.
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Chen, L., Hu, J., Huang, X. et al. Residual-based a posteriori error estimates for symmetric conforming mixed finite elements for linear elasticity problems. Sci. China Math. 61, 973–992 (2018). https://doi.org/10.1007/s11425-017-9181-2
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DOI: https://doi.org/10.1007/s11425-017-9181-2