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.
翻译:我们采用稳定的迫击炮线弹性方法,并将其与标准的混合迫击炮法进行比较,但没有稳定;我们提出最低顺序混合近似的稳定性标准,并调查其用于连接接触问题;我们的数字结果显示这些方法的稳定性和趋同;此外,结果显示,低顺序混合法可以成功地扩展到三个层面。