應(yīng)yl7703永利官網(wǎng)黃玉梅教授的邀請(qǐng)，復(fù)旦大學(xué)大數(shù)據(jù)學(xué)院副院長(zhǎng)、數(shù)學(xué)科學(xué)學(xué)院高衛(wèi)國(guó)教授將于近期訪問(wèn)我校并作學(xué)術(shù)報(bào)告。歡迎廣大師生參加。

報(bào)告題目：Overlapping Multiplicative Schwarz Preconditioning for Linear and Nonlinear Systems

時(shí)間：2024年6月27日下午2:30

地點(diǎn)：理工樓631報(bào)告廳

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.

報(bào)告人簡(jiǎn)介

高衛(wèi)國(guó)，復(fù)旦大學(xué)數(shù)學(xué)科學(xué)學(xué)院教授，大數(shù)據(jù)學(xué)院副院長(zhǎng)，研究方向?yàn)楦咝阅芫仃囉?jì)算及其在物質(zhì)科學(xué)和數(shù)據(jù)科學(xué)中的應(yīng)用，包括線性與非線性特征值問(wèn)題、大規(guī)?？茖W(xué)與并行計(jì)算、電子結(jié)構(gòu)計(jì)算與鞍點(diǎn)計(jì)算、數(shù)據(jù)科學(xué)中的數(shù)值分析問(wèn)題等，主持和參與多個(gè)高性能軟件包開發(fā)，在計(jì)算數(shù)學(xué)和應(yīng)用數(shù)學(xué)專業(yè)雜志及計(jì)算機(jī)、物理、化學(xué)、控制和工程等學(xué)科雜志和計(jì)算機(jī)頂級(jí)會(huì)議發(fā)表論文近60篇?，F(xiàn)為上海市現(xiàn)代應(yīng)用數(shù)學(xué)實(shí)驗(yàn)室主任、中國(guó)數(shù)學(xué)會(huì)計(jì)算數(shù)學(xué)分會(huì)副主任委員。

甘肅省高校應(yīng)用數(shù)學(xué)與復(fù)雜系統(tǒng)省級(jí)重點(diǎn)實(shí)驗(yàn)

yl7703永利官網(wǎng)

萃英學(xué)院

2024年6月27日