纪念华东水利学院建院70周年学术活动：学术报告通知(2022-91)

报告题目：Development of H(div) compatible approximations in an SBFem framework

报告人：Professor Philippe Devloo (State University of Campinas, Brazil)

报告时间：2022年12月3日（周六）17:10

报告地点：线上ZOOM会议 

会议号：865 5345 2257  密码：202 212

主办单位：河海大学力学与材料学院动力学与控制研究所

欢迎广大师生参加！

报告简介：

In this talk we will elaborate on the development of divergence free approximations within the framework of SBFem approximations. Considering SBFem approximations as the limit of radially graded meshes, a Ricatti eigenvalue problem is deduced for hybridized H(div) approximations. The equivalence between H(div) and H1 approximations is shown considering divergence free approximation spaces can be constructed based on rotated gradients of H1 functions. This equivalence demonstrates key features of SBFem H(div) approximations and proves their convergence. Several research directions are suggested.

报告人简介：

Prof. Devloo studied his undergraduate studies in Gent, Belgium in Electromechanical Engineering (1976 - 1981). After a one-year study of Computer Science in 1981, he enrolled at the University of Texas in Austin to pursue a PhD in computational mechanics under the supervision of J T Oden (1982 - 1987). Prof. Devloo conducts research in computational mechanics : translate engineering problems into a mathematical framework and approximate the system of conservation laws with the most appropriate numerical scheme. Some of Prof. Devloo’s relevant contributions are

·         hp-adaptive finite element approximations for H1, H(div) and H(curl) approximations

·         object oriented finite element programming, being the author of a public domain framework NeoPZ https://github.com/labmec/neopz

·         multi-scale approximations applied to flow in porous media and elasticity (2D and 3D)

·         hp-adaptive SBFem approximations for the Poisson problem and elasticity problem

·         SBFem approximations applied to H(div) approximations (topic of this talk)