A Feti Method for a Tdnns Discretization of Plane Elasticity∗
نویسندگان
چکیده
In this article, we consider a hybridized tangential-displacement normal-normalstress (TDNNS) discretization of linear elasticity. As shown in earlier work by Joachim Schöberl and the first author, TDNNS is a stable finite element discretization that does not suffers from volume locking. We propose a finite element tearing and interconnecting (FETI) method in order to solve the resulting linear system iteratively. The method is analyzed thoroughly for the compressible case in two dimensions, leading to a condition number bound of C(1 + log(H/h))2, which coincides with known bounds of many other iterative substructuring methods. Numerical results confirm our theoretical findings. Furthermore, our experiments show that a certain instance of the method remains stable even in the almost incompressible limit.
منابع مشابه
JOHANNES KEPLER UNIVERSITY LINZ Institute of Computational Mathematics A FETI Method For A TDNNS Discretization of Plane Elasticity
In this article, we consider a hybridized tangential-displacement normal-normalstress (TDNNS) discretization of linear elasticity. As shown in earlier work by Joachim Schöberl and the first author, TDNNS is a stable finite element discretization that does not suffers from volume locking. We propose a finite element tearing and interconnecting (FETI) method in order to solve the resulting linear...
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