亚博买球

上海交通大学应文俊教授学术报告

发布时间: 2021年07月07日 作者: 应金勇   阅读次数: []

baogaotimu: an alternating direction implicit method for mean curvature flows

bao gao ren: yingwenjun jiaoshou(shanghaijiaotongdaxue)

baogaoshijian: 7yue2ri(zhouwu)xiawu4:00-5:30

baogaodidian: yabomaiqiuyabomaiqiuappshulilou235

baogaozhaiyao:

in this talk, i will present an alternating direction implicit method

for mean curvature flows. unlike explicit time integration method such as the forward euler method for the problems, the method does not have severe timestep restriction due to the stiffness of the motion. the timestep by the method can be linearly proportional to the spacing parameter of the curve or surface. alternating direction implicit treatment for the curve/surface motion avoids solving a globally coupled system. this is especially good for the mean curvature flows in three space dimensions. the method is a cartesian grid-based method. the curve or surface is represented by its intersection with an underlying cartesian grid, which has several advantages in efficiency, accuracy as well as stability. in this talk, i will present numerical examples by the method for mean curvature flows in both two and three space dimensions.

baogaorenjianjie:

亚博买球yingwenjun, shanghaijiaotongdaxueshuxuekexuexueyuanhezirankexueyanjiuyuanjiaoshou。meiguodukedaxuejisuanshuxueboshi, shengwuyixuegongchengxiboshihou,cengrenmeiguomixiegenligongdaxuezhulijiaoshou。yingwenjunjiaoshoudeyanjiuzhuyaobaokuoqiujiefeixianxingshuangqushouhenglvfangchengheqiyiraodongfanyingkuosanfangchengdeshijiankongjianzishiyingwanggejiamisuanfa,qiujiegangxingxitongdedabuzhangwendingshijianjifenfangfa,qiujieyoujiehuowujiequyushangtuoyuanxingpianweifenfangchengdebianjiejifenfangfa,yijiyileijiyuweishililundeqiujiefuzaquyushangtuoyuanxing,paowuxingpianweifenfangchengdedikaerzhijiaowanggefa。yanjiushejidelingyubaokuojisuanshengxue、jisuankongqidonglixue、jisuanshengwuwulixue、jisuandianshenglixuehejisuanliutilixuedeng。



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