计算与应用数学拔尖博士生系列论坛——Weak Galerkin finite element method for the eigenvalue problems
报告人：Qilong Zhai（Peking University）
时间：2018-12-28 12:00-13:30
地点：Room 1560, Sciences Building No. 1
12:00-12:30 lunch；12:30-13:30 Talk
Abstract: This report concerns the application of the weak Galerkin (WG) finite element method to the elliptic
eigenvalue problem with an emphasis on obtaining lower bounds. The WG method uses discontinuous
polynomials on polygonal or polyhedral finite element partitions. The non-conforming finite element space of
the WG method is the key of the lower bound property. It also makes the WG method more robust and
flexible in solving eigenvalue problems. We demonstrate that the WG method can achieve arbitrary high
convergence order. Numerical results are presented to demonstrate the efficiency and accuracy of the theoretical results.
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