Seminars on Numerical Algorithms, Analyses, and Applications: Multiscale model reduction based on locally optimal spectral approximations for heterogeneous wave equations

报告人：马楚鹏（大湾区大学）

时  间：2026年8月21日15:30

地  点：海韵园行政楼C503

内容摘要:

In this talk, I will present a generalized finite element method with optimal local approximation spaces for solving heterogeneous Helmholtz and Maxwell equations. The local spaces are built from selected eigenvectors of carefully designed local eigenvalue problems posed on local solution spaces. Local exponential convergence rates are established for the method at both continuous and discrete levels. The multiscale method is further formulated as a two-level restricted additive Schwarz (RAS) preconditioner for solving discretized PDEs. Numerical results are provided to confirm the theoretical analysis and to validate the proposed methods.

个人简介：

马楚鹏，大湾区大学数学系助理教授，2017年博士毕业于中国科学院数学与系统科学研究院，随后在香港理工大学和海德堡大学从事博士后研究工作，于2022年加入大湾区大学。他的研究兴趣为多尺度数值算法与区域分解算法，已在Math. Comp, Numer. Math, FoCM, SIAM系列等计算数学期刊发表论文20余篇。

联系人：陈黄鑫