Paula Strohbeck from the Institute of Applied Analysis and Numerical Simulation of the University of Stuttgart is a SFB 1313 doctoral researcher (research project A03) and member of the SFB 1313 Integrated Research Training Group "Interface-Driven Multi-Field Processes in Porous Media". She visited the Loughborough University (UK) for a three-month research stay from October to December 2024.
Research Report
Within the framework of the SFB1313 Research Stay Abroad, I visited my second supervisor Dr. Marco Discacciati, who is a Reader in Applied Mathematics at Loughborough University (UK) from the 1st of October to the 16th of December 2024.
During my research stay, I had the opportunity to profit from his expertise in domain decomposition methods for coupled porous-medium and free-flow systems. We finalised our joint work on a Robin–Robin domain decomposition method for coupled single-phase Stokes–Darcy systems with the generalised coupling conditions. This builds upon our previous work started during the research stay of Marco Discacciati at the University of Stuttgart in September 2023. Additionally, we proposed a domain decomposition algorithm and a multiple-timestepping scheme for coupled two-phase porous-medium and single-phase free-flow systems. The theoretical framework for both methods and the code for the domain decomposition algorithm were fully developed.
Beyond the scientific work, I got the B2 certificate from the Spanish Level 9 course of the Loughborough University and were able to significantly improve my knowledge.
My research stay was a great experience, both academically and personally. I am grateful to the SFB1313 for the opportunity to work in a new research environment. I also thank Marco Discacciati for his hospitality and his continuous support during my research stay. I am looking forward to further collaboration with him.