Mortaring for linear elasticity using low order finite elements

09/06/2022

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by   Tom Gustafsson, et al.

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We introduce a stabilized mortar method for linear elasticity and compare it to the standard mixed mortar method without stabilization. We present the stability criteria of the lowest order mixed approximation and investigate its use for tie contact problems. Our numerical results demonstrate the stability and the convergence of the methods. Moreover, the results show that the low order mixed method can be successfully extended to three dimensions.