Welcome to Prof. Ivan Yotov from the University of Pittsburgh (USA). He will stay at the Department of Hydromechanics and Modelling of Hydrosystems of the University of Stuttgart. He will be a guest in the framework of SimTech and stay in Stuttgart from 1 May to 1 July 2023.
During his two-months stay he will give a lecture series in the framework of SimTech, entitled "Mathematical and Computational Modeling of Fluid-Poroelastic Structure Interaction" (15 ETCS). This lecture series is especially prepared for doctoral students and postdocs. More details will be published soon.
Ivan Yotov is one of SFB 1313's Mercator Fellows (research project A02). During his stay, he will also intensiveliy work with our SFB 1313 doctoral researcher Edward Coltman. Furthermore, the cooperation with our post-doctoral researchers Martin Schneider and Dennis Gläser as well as with our principal investigators Christian Rohde and Rainer Helmig will be intensified on the research topic "Flux-mortar mixed finite element methods with multipoint flux approximation" (the first paper is submitted).
About Ivan Yotov
Ivan Yotov is Professor in the Department of Mathematics at University of Pittsburgh. His research interests are in numerical analysis of partial differential equations and large scale scientific computing with applications to flow in porous media, computational fluid dynamics, and biomedical problems. His recent work spans multiscale modeling of multiphysics systems of coupled flow and mechanics, advanced finite element and finite volume discretizations, scalable parallel solvers and preconditioners, stochastic modeling, uncertainty quantification, and parameter estimation.
About the the lecture series "Mathematical and Computational Modeling of Fluid-Poroelastic Structure Interaction"
The lecture series will focus on modeling the interaction between a free viscous fluid and a deformable porous medium. Applications of interest include flows in fractured poroelastic media, coupling of surface and subsurface flows, and arterial flows. The free fluid flow is governed by the Navier-Stokes or Stokes/Brinkman equations, while the poroelastic material is modeled using the Biot system of poroelasticity. The two regions are coupled via dynamic and kinematic interface conditions, including balance of forces, continuity of normal velocity, and no-slip or slip with friction tangential velocity condition.
The following topics will be covered.
- Mathematical models and their well-posedness analysis
- Finite element methods and their solvability, stability, and convergence analysis
- Time-partitioning schemes for the solution of the coupled system
- Numerical experiments illustrating the performance of the numerical methods, including their flexibility and robustness for several applications of interest
About the Mercator Fellowships
Mercator Fellowships enable an intensive, long-term project-based collaboration between researchers from both domestic and foreign institutions. Although Mercator Fellows are on-site for only part of the project, they are associated to the project and remain in contact with the project team members once their research stay is over. With this collaboration, additional competence is to be gained for the project or the network and for increasing the project's visibility. The engagement of Mercator Fellows is more intensive than that of scientific guests. Prof. Ivan Yotov is associated to the SFB 1313 research project A02 "Advanced modelling concepts for coupling free flow with porous-media flow".