应数学与统计学院黄玉梅教授的邀请，复旦大学大数据学院副院长、数学科学学院高卫国教授将于近期访问我校并作学术报告。欢迎广大师生参加。

报告题目：Overlapping Multiplicative Schwarz Preconditioning for Linear and Nonlinear Systems

时间：2024年6月27日下午2:30

地点：理工楼631报告厅

Abstract：For linear and nonlinear systems arising from the discretization of PDEs, multiplicative Schwarz preconditioners can be defined based on subsets of the unknowns that derive from domain decomposition, field splitting, or other collections of conveniently solved subproblems, and are well established theoretically for nonoverlapping subsets. For overlapping subsets, establishing the equivalence of the preconditioned and original iterations is less trivial. We derive herein an explicit formulation for a variety of multiplicative Schwarz preconditioners including overlaps representative of interfacial and bulk coupling in multiphysics systems, thus extending theoretical support for the nonlinear multiplicative Schwarz preconditioned inexact Newton (MSPIN) algorithm to these classes. For nonlinear multiplicative Schwarz preconditioners with overlaps, we illustrate the performance through numerical experiments involving applications such as a shocked duct flow and a natural convection cavity flow. We begin with a broad introduction to nonlinear preconditioning to set the context for those new to the technique. This is joint work with D. E. Keyes, L. Liu, and H. Yu.

报告人简介

高卫国，复旦大学数学科学学院教授，大数据学院副院长，研究方向为高性能矩阵计算及其在物质科学和数据科学中的应用，包括线性与非线性特征值问题、大规模科学与并行计算、电子结构计算与鞍点计算、数据科学中的数值分析问题等，主持和参与多个高性能软件包开发，在计算数学和应用数学专业杂志及计算机、物理、化学、控制和工程等学科杂志和计算机顶级会议发表论文近60篇。现为上海市现代应用数学实验室主任、中国数学会计算数学分会副主任委员。

甘肃省高校应用数学与复杂系统省级重点实验

数学与统计学院

萃英学院

2024年6月27日