2025年10月09日 星期四 登录 EN

学术活动
Multi-Scale Dynamical Modeling of Anesthetic Drug Metabolism
首页 - 学术活动
报告人:
Meizhen Xiang, Professor, Beijing Institute of Applied Physics and Computational Mathematics
邀请人:
benzhuo Lu, Professor
题目:
Multi-Scale Dynamical Modeling of Anesthetic Drug Metabolism
时间地点:
14:00-15:00 October 11(Saturday), N226
摘要:

In this talk, I will present a generalized finite element method with optimal local approximation spaces for solving heterogeneous Helmholtz problems with large wavenumbers. The local spaces are built from selected eigenvectors of carefully designed local eigenvalue problem. Besides being a multiscale discretization scheme, the method can be used as a model reduction method at the discrete level. Wavenumber-explicit exponential convergence rates are established for the method at both the continuous and discrete levels. Furthermore, the method is formulated as a two-level Schwarz preconditioner, and a wavenumber explicit convergence rate is proved for the preconditioned GMRES. Numerical results are provided to confirm the theoretical analysis and the efficiency of the proposed methods.