澳门新葡8455最新网站,www.8455.com,新葡京最新官网

当前位置: 澳门新葡8455最新网站 > 学术活动 > 正文
Convergence of an adaptive finite element DtN method for the elastic wave scattering problem
澳门新葡8455最新网站:2019年08月28日 09:51 点击数:

报告人:袁晓凯

报告地点:澳门新葡8455最新网站515室

报告澳门新葡8455最新网站:2019年08月29日星期四10:00-11:00

邀请人:高忆先

报告摘要:

Consider the scattering of an elastic plane wave by a rigid obstacle, which is immersed in a homogeneous and isotropic elastic medium in two dimensions. Based on a Dirichlet-to-Neumann (DtN) operator, an exact transparent boundary condition is introduced, and the scattering problem is formulated as a boundary value problem of the elastic wave equation in a bounded domain. By developing a new duality argument, an a posteriori error estimate is derived for the discrete problem by using the finite element method with the truncated DtN operator. The a posteriori error estimate consists of the finite element approximation error and the truncation error of the DtN operator which decays exponentially with respect to the truncation parameter. An adaptive finite element algorithm is proposed to solve the elastic obstacle scattering problem, where the truncation parameter is determined through the truncation error and the mesh elements for local refinements are chosen through the finite element discretization error. Numerical experiments are presented to demonstrate the effectiveness of the proposed method.

主讲人概况:

袁晓凯博士,浙江大学博士后,2019年博士毕业于美国普渡大学,主要从事散射和反散射理论的研究。近年来于Inverse Problems and Imaging , Commun. Comput. Phys. 等杂志发表论文发表论文近十篇。

Copyright ©版权所有:澳门新葡8455最新网站

地址:吉林省长春市人民大街5268号|邮编:130024|电话:0431-85099589|传真:0431-85098237


XML 地图 | Sitemap 地图