报告摘要：

  In this talk we report a recent work on the non-overlapping domain decomposition method. In this method, the interface variable is chosen as Dirichlet boundary data. We first propose a new kind of multilevel decomposition to the finite element space associated with a non-nested triangulation on the interface. Then, we construct the corresponding multilevel preconditioner for solving the Schur complement system arising from the underlying domain decomposition method. The new multilevel pre- conditioner possesses the optimal computational complexity too. It will be shown that the condition number of the preconditioned system grows only as the logarithm of the dimension of the local problem associated with an individual substructure, and is independent of possible jumps of the coefficient in the elliptic equation.

报告时间： 2006年4月13日(周四) 下午4:00--5:00

报告地点：科技综合楼三层311报告厅