报告题目 Adaptive DtN finite element method for scattering problems

报告人：林磊 中国科学院数学与系统科学研究院

报告时间：2025年11月30日 下午14:40-15:20

报告地点：#腾讯会议：304601182

校内联系人：张剑桥 [email protected]

报告摘要：

In this talk, we will consider three different exterior scattering problems. Based on the Dirichlet-to-Neumann(DtN) operators, the exact transparent boundary conditions are introduced and the model can be reformulated as transmission boundary value problems. By a new duality argument technique, the a posteriori error estimates are derived for the finite element method with the truncated DtN boundary operators. The a posteriori error estimates consist of the finite element approximation error and the truncation error of the DtN boundary operator, where the latter decays exponentially with respect to the truncation parameter. The adaptive DtN finite element algorithm is proposed for solving the transmission problems, where the truncation parameters are determined through truncation errors and the mesh elements for local refinements are chosen through finite element discretization errors. Numerical experiments are presented to demonstrate the effectiveness of the proposed method.

报告人简介：林磊， 2024年于成人直播平台 获得博士学位，目前为中国科学院数学与系统科学研究院博士后，主要研究方向为散射问题的数值方法，在Adv. Comput. Math., Internat. J. Numer. Methods Engrg.等期刊上发表多篇SCI论文。