演講者：施因澤教授

單　位：國立中興大學應用數學系

日　期：2009年4月1日　PM 14:30

地　點：國立高雄大學理學院408室

講　題：A cubic Hermite finite element-continuation method for numerical solutions of the von Karman equations

摘　要：

We study a cubic Hermite finite element method for numerical solutions of the von Kármán equations defined in a rectangular domain with totally clamped boundary conditions. A novel iterative method combined with a predictor-corrector continuation algorithm is exploited to trace solution curves of the von Kármán equations. The fourth order finite element approximations compute  accurate numerical solutions for the deformation and the Airy stress function as well as their first order partial derivatives and the mixed second order partial derivatives. In this regard, the classical predictor-corrector continuation method is interpreted in a different way. Our numerical results show that the bifurcation scenario of the von Kármán equations with totally clamped boundary  conditions is different from those with simply supported and partially clamped boundary conditions.