论文标题
特征值问题有效的自适应有限元方法
An Efficient Adaptive Finite Element Method for Eigenvalue Problems
论文作者
论文摘要
本文的目的是基于多级校正方案和反功率方法提出一种有效的自适应有限元方法，以解决特征值问题。该方法涉及在每个自适应分区上解决相关的边界价值问题，并在某些由提议算法控制的某些特殊网格上的尺寸特征值问题。因此，由于我们可以提高解决特征值问题的效率，以类似于相关的边界价值问题的自适应有限元方法。理论上验证了收敛性和最佳复杂性，并在数值上证明了。
The aim of this paper is to propose an efficient adaptive finite element method for eigenvalue problems based on the multilevel correction scheme and inverse power method. This method involves solving associated boundary value problems on each adaptive partitions and very low dimensional eigenvalue problems on some special meshes which are controlled by the proposed algorithm. Since we Hence the efficiency of solving eigenvalue problems can be improved to be similar to the adaptive finite element method for the associated boundary value problems. The convergence and optimal complexity is theoretically verified and numerically demonstrated.
