Discretization methods for multiphysics couplings Short Course: Ivan Yotov (2023)

The short course "Discretization methods for multiphysics couplings of fluid flow and solid mechanics" is organised by SFB 1313 and the SimTech Graduate School (GS SimTech) of the University of Stuttgart.

General Information

The course will take place from May 15 to June 14. The dates are as follows:

  • Monday, May 15, 2023 (9.00 - 12.00 CET)
  • Wednesday, May 17, 2023 (9.00 - 12.00 CET)
  • Wednesday, May 31, 2023 (9.00 - 12.00 CET)
  • Wednesday, June 14, 2023 (9.00 - 12.00 CET)

The short course will take place in Multi Media Lab (MML), U1.003, Pfaffenwaldring 61, 70569 Stuttgart, Campus Vaihingen.

This short course is organised by SFB 1313 and SimTech Graduate School (GS SimTech)

Please register via email to: sfb1313-graduiertenkolleg@iws.uni-stuttgart.de

The short course will present an introduction to finite element and finite volume methods for Darcy flow, Stokes flow, and elasticity and their multiphysics couplings. We will discuss solvability, accuracy, and efficiency of the methods. The focus will be on structure preserving methods, e.g., methods with local mass or momentum conservation. The following topics to be discussed.

1. Finite element methods for Darcy flow
   - velocity-pressure mixed finite element methods 
   - finite volume and cell-centered finite difference methods
   - mortar finite element methods

2. Finite element methods for Stokes flow
   - velocity-pressure mixed finite element methods
   - stress-velocity mixed finite element methods
   - mortar finite element methods

3. Finite element methods for elasticity
   - displacement finite element methods
   - stress-displacement mixed finite element methods
   - mortar finite element methods

4. Finite element methods for Stokes-Darcy couplings

5. Finite element methods for the Biot system of poroelasticity (Darcy flow in deformable porous media)

6. Finite element methods for fluid-poroelastic structure interaction (Stokes-Biot couplings)

Prof. 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. Professor Yotov obtained his Ph.D. in Computational and Applied Mathematics from Rice University. He held a postdoctoral position at the Institute for Computational Engineering and Sciences at The University of Texas at Austin before joining University of Pittsburgh. He is an author of more than 100 scientific papers. He is Editor in Chief of Computational Geosciences and has served as Associate Editor of SIAM Journal on Numerical Analysis, Numerical Linear Algebra with Applications, and The Modeling and Computation for Flow and Transport. He is a recipient of the Ralph E. Powe Junior Faculty Enhancement Award from Oak Ridge Associated Universities, Distinguished TICAM Faculty Research Fellowship and J.T. Oden Faculty Fellowship at The University of Texas at Austin, Simons Visiting Professor to Oberwolfach, Inria Invited Professor at Inria Paris, and SFB 1313 Visiting Professor and Mercator Fellowship Visiting Professor at University of Stuttgart. 


This image shows Katharina Heck

Katharina Heck


Postdoctoral Researcher, Management, Research Project A02, Project MGK

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