We apply the recently developed least squares stabilized symmetric Nitsche method for enforcement of Dirichlet boundary conditions to the finite cell method. The least squares stabilized Nitsche method in combination with finite cell stabilization leads to a symmetric positive definite stiffness matrix and relies only on elementwise stabilization, which does not lead to additional fill in. We prove a priori error estimates and bounds on the condition numbers.

翻译：我们将最近开发的最小方块稳定对称尼采法用于执行Drichlet边界条件的有限单元格方法。最小方块稳定尼采法与有限细胞稳定结合,形成一个对称正确定硬度矩阵,仅依赖元素稳定,不会导致额外填充。我们证明了先验误差估计和条件编号的界限。