supported by the Chinese National Science Foundation(No.10871179);the National Basic Research Programme of China(No.2008CB717806);Specialized Research Fund for the Doctoral Program of Higher Education of China(SRFDP No.20070335201).
Many problems in engineering shape design involve eigenvalue optimizations.The relevant difficulty is that the eigenvalues are not continuously differentiable with respect to the density.In this paper,we are intereste...
Supported by National Science Foundation of China(Grant 10871179);the National Basic Research Programme of China(Grant 2008CB717806);the Department of Education of Zhejiang Province(GrantY200803559).
A finite difference method is introduced to solve the forward-backward heat equation in two space dimensions. In this procedure, the backward and forward difference scheme in two subdomains and a coarse-mesh second-or...