Abstract
Two new locking-free nonconforming finite elements for the pure displacement planar elasticity problem are presented. Convergence rates of the elements are uniformly optimal with respect to λ. The energy norm and L 2 norm errors are proved to be O(h 2) and O(h 3), respectively. Numerical tests confirm the theoretical analysis.
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Project supported by the National Natural Science Foundation of China (Nos. 10771198 and 11071226) and the Foundation of International Science and Technology Cooperation of Henan Province
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Yang, Yq., Xiao, Lc. & Chen, Sc. Nonconforming finite elements for the equation of planar elasticity. Appl. Math. Mech.-Engl. Ed. 31, 1537–1548 (2010). https://doi.org/10.1007/s10483-010-1382-7
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DOI: https://doi.org/10.1007/s10483-010-1382-7