论文标题
降低特征值问题有限元近似的订单模型
A reduced order model for the finite element approximation of eigenvalue problems
论文作者
论文摘要
在本文中，我们考虑了使用Dirichlet边界条件近似Laplace问题的征算法的降序方法。我们使用一种时间延续技术，该技术包括引入虚拟时间参数。我们使用POD方法，并提出一些理论结果，以表明如何选择POD基础的最佳维度。与第一个特征值有关的计算结果证实了我们近似解决方案的最佳行为。
In this paper we consider a reduced order method for the approximation of the eigensolutions of the Laplace problem with Dirichlet boundary condition. We use a time continuation technique that consists in the introduction of a fictitious time parameter. We use a POD approach and we present some theoretical results showing how to choose the optimal dimension of the POD basis. The results of our computations, related to the first eigenvalue, confirm the optimal behavior of our approximate solution.
