论文标题
一种贪婪的MOR方法，用于跟踪征收参数椭圆pdes
A greedy MOR method for the tracking of eigensolutions to parametric elliptic PDEs
论文作者
论文摘要
在本文中，我们引入了一种基于稀疏的网格自适应改进的算法，以逼近椭圆形偏微分方程引起的参数问题的特征。特别是，我们有兴趣检测将特征值描述为参数的函数的超丘面的穿越。先验匹配之后是A后验验证，由适当定义的误差指示器驱动。在给定的完善水平下，通过使用A后验指标给出的标记，采用了稀疏的网格方法来构建下一个级别的网格。各种数值测试证实了该方案的良好性能。
In this paper we introduce an algorithm based on a sparse grid adaptive refinement, for the approximation of the eigensolutions to parametric problems arising from elliptic partial differential equations. In particular, we are interested in detecting the crossing of the hypersurfaces describing the eigenvalues as a function of the parameters. The a priori matching is followed by an a posteriori verification, driven by a suitably defined error indicator. At a given refinement level, a sparse grid approach is adopted for the construction of the grid of the next level, by using the marking given by the a posteriori indicator. Various numerical tests confirm the good performance of the scheme.
