We introduce a domain decomposition structure-preserving method based on a hybrid mimetic spectral element method for three-dimensional linear elasticity problems in curvilinear conforming structured meshes. The method is an equilibrium method which satisfies pointwise equilibrium of forces. The domain decomposition is established through hybridization which first allows for an inter-element normal stress discontinuity and then enforces the normal stress continuity using a Lagrange multiplier which turns out to be the displacement in the trace space. Dual basis functions are employed to simplify the discretization and to obtain a higher sparsity. Numerical tests supporting the method are presented.

针对曲线协调结构网格中的三维线性弹性问题，我们引入了一种基于混合模拟谱元方法的区域分解结构保存方法。该方法是满足力的逐点平衡的平衡方法。区域分解是通过杂交建立的，杂交首先允许元素间的法向应力不连续，然后使用拉格朗日乘子来增强法向应力的连续性，该乘积被证明是迹线空间中的位移。使用双重基函数来简化离散化并获得更高的稀疏性。提出了支持该方法的数值测试。