Event date:
Apr 29 2022 3:00 pm

Coupling interface conditions arising in various multi-domain problems

Dr Taj Munir, Abdus Salam School of Mathematics, Lahore Pakistan
In this talk I will present some background on the coupling interface conditions with multi-domain problems. These kind of models arise when multiple processes are model together and their interactions in terms of mathematical equations such as PDEs or ODEs or both in coupled. For understanding this procedure I will explain the model related to the calcium interaction in human cell signaling. These signaling of calcium concentration is between  two regions, namely ER and cytosol with a membrane in which the channels are placed. Exactly the same modelscan be apply in heat transfer between two regions, ocean and atmosphere coupling and fluid structure interactions (FSI) problems. In the numerical implementation there are some challenging issues occurs in this process, such as the maintainability of the mass/energy conservation of the overall scheme, stability issues. For better comparison we used three coupling Algorithms namely explicit, implicit monolithic and partitioned iterative coupling approaches. I will also give the comparison of the computational time of these coupling Algorithms. I will also give the detail of my ongoing projects, publications and some future goals.

Currently, Dr Munir is doing Postdoc at Abdus Salam School of mathematics Lahore Pakistan. His field of interest is Numerical Mathematics and especially numerical solution of PDEs and problem arising in the multi domain modeling with coupling interface conditions. He completed his PhD in the field of numerical mathematics from Otto Von Gureicke University, Magdeburg Germany in December 2020. He has a strong background in the analysis and numeric of PDEs of multi-domain modeling with coupling interface conditions.

Zoom Meeting Link Here.

Meeting ID: 963 4464 2152

Passcode: 176283