Selecting Constraints in Dual-Primal FETI Methods for Elasticity in Three Dimensions
Selecting Constraints in Dual-Primal FETI Methods for Elasticity in Three Dimensions
复制标题
在双原始 FETI 方法中选择三维弹性约束
DOI：
10.1007/3-540-26825-1_5
复制
发表时间：
2005
影响因子：
7.2
通讯作者：
O. Widlund
中科院分区：
文献类型：
--
作者：
A. Klawonn;O. Widlund
研究了椭圆型线弹性方程组的带拉格朗日乘子的迭代子结构方法。该算法属于Farhat等人[2001]为平面线性弹性问题引入的双原始FETI方法族，然后由Farhat等人[2000]扩展到三维弹性问题。在双原始FETI方法中，需要在整个迭代过程中保持原始位移变量的一些连续性约束，如在原始迭代子结构方法中，而大多数约束是通过使用双拉格朗日乘子来执行的，如在较旧的一级FETI算法中。原始约束的选择应使局部问题成为可逆的。它们也提供了一个粗略的问题，应该选择它们，以便迭代方法快速收敛。
Iterative substructuring methods with Lagrange multipliers for the elliptic system of linear elasticity are considered. The algorithms belong to the family of dual-primal FETI methods which was introduced for linear elasticity problems in the plane by Farhat et al. [2001] and then extended to three dimensional elasticity problems by Farhat et al. [2000]. In dual-primal FETI methods, some continuity constraints on primal displacement variables are required to hold throughout the iterations, as in primal iterative substructuring methods, while most of the constraints are enforced by the use of dual Lagrange multipliers, as in the older one-level FETI algorithms. The primal constraints should be chosen so that the local problems become invertible. They also provide a coarse problem and they should be chosen so that the iterative method converges rapidly.