报告主题：自适应特征值计算
报告人：Carsten，Carstensen 教授（德国洪堡大学）
报告时间：2017年 10月11日（周三）15:00
报告地点：校本部G507
邀请人：刘东杰
主办部门：8455新葡萄场网站数学系
报告摘要： This talk presents recent advances in the nonconforming FEM approximation of elliptic PDE eigenvalue problems. The first part introduces guaranteed lower eigenvalue bounds for second-order and fourth-order eigenvalue problems with relevant applications for the localization of in the critical load in the buckling analysis of the Kirchhoff plates. The second studies an optimal adaptive mesh-refining algorithm for the effective eigenvalue computation for the Laplace operator with optimal convergence rates in terms of the number of degrees of freedom relative to the concept of nonlinear approximation classes. The analysis includes an inexact algebraic eigenvalue computation on each level of the adaptive algorithm which requires an iterative algorithm and a controlled termination criterion. The third part extends the analysis to multiple and even clustered eigenvalues.
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