A family of mixed finite elements for nearly incompressible strain gradient elastic models

05/01/2021

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by   Yulei Liao, et al.

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We propose a family of mixed finite elements that are robust for the nearly incompressible strain gradient model. A discrete B-B inequality is proved for the mixed finite element approximation, which is uniform with respect to the microscopic parameter. Optimal rate of convergence is proved that is robust in the incompressible limit. Numerical results confirm the theoretical prediction.