Past Event: Oden Institute Seminar

Research on Hdiv approximations and their use in computational mechanics

Philippe Devloo, University of Campinas, Brazil

Abstract

In recent years the research group of LabMeC/UNICAMP has developed innovative research in Hdiv approximations. This seminar emphasizes the different steps of this research effort.

- An innovative construction of Hdiv spaces for the complete family of finite element topologies, with De Rham compatibility to corresponding L2 spaces or Hcurl spaces
- Effective error estimation of Hdiv approximations using H1 reconstruction
- Construction of high order Hdiv approximations with constant divergence
- hp-adaptive Hdiv approximations, a criterium for refining in h or p
- Pointwise conservating Hdiv approximations in a multiscale setting
- On the use of Hdiv spaces for approximating Stokes and/or elasticity equations

Biography

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). From 1988-1922 worked at INPE (Space Research Institute in Brasil). From 1992-now is full professor at the State University of Campinas.